Fluent reading and comprehension result when all strands remain strong and tightly woven. A student’s reading ability is impaired when damaged or missing strands weaken the reading rope.
The top set of strands focuses on language comprehension skills that grow increasingly strategic into adulthood. The strands in language comprehension include:
The bottom three strands of the rope focus on the word-level foundational skills that become increasingly automatic as students become better readers. Most word recognition instruction happens in early elementary school (K-3). It is most effective when explicit and research-based.
Scarborough’s Reading Rope provides educators with an easy-to-understand visual of the complex process of reading and how all the different strands weave together to create skilled readers. When a student struggles to read, educators can assess which strand or strands are the source of the issue and intervene accordingly. Educators can also use Scarborough’s Reading Rope to determine whether their curriculum and classroom give students the full foundation they need to be skilled readers and, if not, pull in necessary resources.
Check out Edmentum’s free Science of Reading Toolkit for a set of videos, webinars, articles, and other resources, including an Early Literacy Needs Analysis, to support a strong, evidence-based foundation for literacy instruction.
About the author
Elizabeth Tricquet has over two decades of experience in education. In her current role as Lead Learning Designer at Edmentum, Elizabeth is passionate about developing effective, high-quality resources for students and teachers.
Elizabeth has worked at Edmentum since 2016 in a variety of positions including Content Designer, Assessment Specialist, and Learning Designer. She has worked on a variety of products including Exact Path, Study Island, and Benchmark Assessments.
Prior to working at Edmentum, Elizabeth had nearly 10 years of experience in the classroom teaching grades 1, 3 and 4 with a focus on helping struggling readers and students with learning difficulties. While teaching, Elizabeth earned her National Board Certification for Early and Middle Grades Literacy. She then worked at the Florida Department of Education's Test Development Center as an ELA Content Specialist. During that time, Elizabeth worked on state-wide summative assessments.
]]>Meanwhile, more than 1 in 4 students nationwide were chronically absent (missed at least 10% of school days) in 2023. A shortage of faculty and staff available to develop strong relationships with students has been indicated as a factor contributing to absenteeism, and the learning gaps resulting from poor attendance cause additional strain on the remaining teachers. An Education Week survey of teachers found that extra time spent planning makeup work for students was a major cause of stress, and lacking bandwidth to build relationships is something that keeps teachers up at night.
District leaders and school leaders alike are feeling the pain. Education Week surveys conducted at the same time found that school funding, resources, and staffing—including a lack of certified staff applying for jobs—is the number one issue that administrators are worried about.
Addressing teacher capacity concerns is an effective way to demonstrate tangible support for educators and enhance the instructional environment for students. Here are three ways administrators can begin:
Are you experiencing any of these challenges?
Cost-effectively adding virtual instructional staff can be a game-changing solution for your schools, your teachers, and your students.
For example, Edmentum recently helped one district offer Spanish across four different schools using one certified EdOptions Academy teacher. This helped fill the roles amid a shortage of teachers, gave the other teachers time back for planning periods, and ensured students has access to Spanish classes taught by a certified instructor, rather than four educators teaching out-of-area.
Dr. James Bevere is Director of Curriculum and Instruction for Hillside Public Schools in New Jersey, another district Edmentum has supported. He explains, “It put an actual [virtual] teacher in the classroom that was certified in the New Jersey content standards, that could deliver direct instruction to our kids five days a week within our bell schedule.” This helped Hillside improve its graduation rate, but more importantly, says Dr. Bevere, students’ test scores increased.
Your district may also be facing declining enrollment—and the associated loss of funding—which can limit the resources available to address staffing needs and other instructional goals, even as the existing enrollment outpaces teacher capacity. Virtual instruction is one way to address these competing challenges simultaneously by expanding course access and ensuring classes are taught by qualified educators. This makes it appealing for students to return to the district with confidence they’ll have the personalized options and quality, human-centered instruction they desire.
Every educator can improve through coaching. Some may feel overwhelmed, particularly in classroom management. They may be new teachers, new to their subject area, new to your district, or just facing a new set of challenges. Each of these needs can be supported through coaching.
When you coach your educators, you give them the space and time to improve their craft systematically. Even veteran teachers benefit from coaching, allowing them to explore new strategies and tools and avoid the yearly burnout that many educators face.
We offer a non-evaluative instructional coaching program built on mentorship. It’s an educator-first approach that increases:
Educators receive personalized coaching based on their content and systems, aligned to your standards and strategic plan, with engaging resources and networking opportunities.
High-dosage tutoring has been shown to make an impact in addressing the negative outcomes of chronic absenteeism, closing persistent skill gaps, and improving the intentional use of instructional time. Interestingly, students experiencing chronic absenteeism are more likely to attend school on the days they are scheduled to receive high-impact tutoring; this is consistent with students’ stated desire for relationships with instructors, which student-centered tutoring can provide.
When implemented correctly, tutoring can help improve these challenges and add capacity to your educators. For example, being able to slide virtual tutoring into an elementary classroom in a station rotation model or in a secondary schedule through a study hall or even during self-directed time in the classroom means teachers can continue doing what they do best – leading a whole class’s instructional time - while their struggling students receive the help they need, without disrupting the classroom or sourcing more teachers.
These ideas are just a few of the ways Edmentum can support teachers. Check out our free Teacher Capacity Toolkit to learn more about these and other methods for extending teacher capacity.
These roles are present in every sector of the economy, in each of the 14 career clusters. Traditionally, they’ve required specialized postsecondary training, but students now have the opportunity to develop career-ready skills during their high school years.
In this conversation, Jamie Candee, President & CEO of Edmentum, and Doug Donovan, Founder & CEO of Interplay Learning, describe how Gen Z (“the toolbelt generation”) is embracing the trades and taking a wider variety of paths to college and career; how states and districts are implementing successful industry partnership and apprenticeship programs; and the various ways students’ educational experience is enhanced when they have exposure to career exploration and preparation.
They also introduce a new solution, Edmentum Career: Trade Prep Powered by Interplay, which expands Edmentum's career-connected learning (CCL) offering with immersive, job-ready training for in-demand skilled trades. This unique offering gives high school students access to learning once reserved for industry professionals in fields like aviation and the military.
Most K-12 leaders turn to the Strengthening Career and Technical Education for the 21st Century Act (Perkins V)—the primary federal source dedicated to CTE—when thinking about funding for college and career readiness programs (learn more about Perkins funding). While Perkins is foundational, it’s far from the only funding opportunity. Many states provide categorical or incentive-based dollars for CTE, and numerous federal and state funding streams—though not exclusively tied to CTE—can support career-readiness initiatives.
This article presents an array of funding sources to consider when planning CTE or career-connected learning (CCL) programs for your district.
The Every Student Succeeds Act (ESSA) provides several flexible funding options that can support CTE programs:
Most states use categorical funding models—based on cost, enrollment, or program type—to support CTE. Others use a hybrid approach, combining general formula funding with targeted CTE dollars. States may also offer incentive payments for CTE participation and completion.
Examples include:
Learn more about your state’s funding model using ECS’s 50-State Comparison or Advance CTE’s state CTE funding analysis.
Under ESSA, states must include at least one non-academic indicator in their accountability system—a School Quality or Student Success (SQSS) metric. Over half of the states include college and career readiness (CCR), often measured by CTE course or pathway completion.
In your state, review the funding that's made available for general school and district improvement, in addition to specific grants focused on increasing CTE course completion for historically underserved students. Here are some examples:
Expand your eligibility for CTE funding with a focus on high-demand career programs. Many states align CTE grants with workforce priorities. These include:
Advanced coursework, including CTE, is supported in many states through gifted education funding. Check out the National Association for Gifted Children’s (NAGC) State of the States Report to learn more about state funding and initiatives.
Here are some examples:
With over 30 states investing in computer science (CS), many include CTE-related programs or require high schools to offer CS courses, sometimes as a graduation requirement. Check out Code.org’s State of Computer Science Education Report to learn more about state funding and initiatives.
Examples of computer science and technology grants that can support CTE:
Districts can strategically use a broad range of federal and state funding streams—including those focused on equity, accountability, innovation, and workforce development— to expand and sustain high-quality CTE programs. Understanding how these funds align with CTE priorities can help schools unlock new opportunities and drive meaningful outcomes for student.
When you're ready to build a districtwide program for middle and high school students, Edmentum is here to help. Edmentum Career is a comprehensive career-connected learning solution designed to help students grades 6-12 build a deeper connection between their learning and their future and to enhance postsecondary success and workforce readiness.
About the author
Hadley Blangy is Director of Policy and Advocacy for Edmentum. She leads strategic policy development and advocacy initiatives to shape national K-12 education policy. Her work focuses on career-connected learning, accountability, online and blended education, and optimizing funding frameworks. With experience from The College Board and the Council of Chief State School Officers, Hadley specializes in translating complex policy landscapes into actionable strategies.
]]> Get more helpful resources in our Career-Connected Learning ToolkitNow is the time for schools to double down on middle school intervention and to do it with strategies that reflect both the academic and developmental realities of young adolescents.
If a student enters high school still struggling with core math and reading concepts, the impact is immediate and often long-lasting. They’re more likely to flounder in grade-level content, lose confidence, disengage, and in many cases, drop out. In fact, multiple studies confirm that 9th-grade success is one of the most reliable predictors of high school graduation (see references below for more information on these studies).
That means the work of closing skill gaps must happen before high school—and middle school is the final, critical window.
But identifying and addressing those gaps takes more than traditional remediation. It requires a strategic, adaptive, and personalized approach that meets students exactly where they are, both academically and developmentally.
Middle school students aren’t just older elementary students or younger high schoolers; they’re unique learners with specific needs. Cognitively, they are ready to tackle more complex, abstract thinking. But they still benefit from clarity, structure, and guided practice. Socially and emotionally, they’re navigating new relationships, identity exploration, and a stronger desire for autonomy.
That’s why effective intervention at this level must be:
When done well, edtech can transform middle school intervention from a manual, time-intensive process into a strategic, efficient, and student-centered system. The right tools don’t just assess; they actively close gaps.
Look for solutions that:
When intervention is delivered in the middle school years with fidelity, students enter high school ready to thrive. They’re not just caught up, they’re confident. And they’re more likely to stay on track for graduation, postsecondary success, and lifelong learning.
Middle school intervention isn’t just a “nice to have”, it’s a necessary investment in student success. With the right tools and approach, educators can make the most of this pivotal time, ensuring every student builds the foundation they need to step into high school prepared and empowered.
To make the most of middle school intervention, educators need a solution that not only closes learning gaps, but also connects with how middle schoolers think, feel, and learn. Exact Path does just that with grades 6-8 math and ELA curricula designed to spark curiosity, sustain engagement, and prepare students for high school success.
Built on cognitive science and middle school-specific research, Exact Path delivers personalized, grade-band curriculum that unlocks essential skills and lays the foundation for success in Algebra I, English 9, and beyond. It’s more than intervention, it’s preparation for what’s next.
Want to see how it works? Watch our middle school webinar to learn more.
]]> Studies on 9th-grade success:Orihuela, Yuria R. (2006). Algebra I and Other Predictors of High School Dropout (Publication No. 3249717) [Doctoral dissertation, Florida International University]. ProQuest Dissertations & Theses. https://www.proquest.com/docview/304924276
Huffaker, E. (2025). Evidence-based practices for Algebra I access, placement, and success (EdResearchBrief No. 34). EdResearch for Action. https://edresearchforaction.org/research-briefs/evidence-based-practices-for-algebra-i-access-placement-and-success/
Allensworth, E. M., & Easton, J. Q. (2007). What matters for staying on-track and graduating in Chicago public high schools: A close look at course grades, failures, and attendance in the freshman year. Consortium on Chicago School Research at the University of Chicago. https://consortium.uchicago.edu/publications/what-matters-staying-track-and-graduating-chicago-public-schools
Last week, TNTP and New Classrooms released a report, “Unlocking Algebra,” which identifies specific “predecessor” math skills from earlier grades that strongly predict student success in Algebra 1. The report finds that targeted, individualized instruction on these foundational skills is likely a more effective intervention than general remediation or grade-level-only instruction. The report presents several conclusions:
Students who lacked key predecessor skills struggled significantly more in Algebra 1 than those who had them, even if they had general math knowledge.
Core instruction (Tier 1) and interventions (Tier 2) are often disconnected and inconsistent. Evidence underscores the importance of aligning curriculum, materials, assessments, and interventions around a shared vision of grade-level expectations and key predecessors.
The Unlocking Algebra report reaffirms our conclusion that not all prior knowledge contributes equally to algebra readiness. That’s why we built our framework around the foundational skills most predictive of Algebra 1 success, not just general math knowledge.
Our Exact Path 6-8 content was built with these predecessor skills in mind and with an intentional goal of ensuring students experience a connected progression of skills across grade levels. Each Exact Path lesson is part of a carefully scaffolded pathway that teaches prerequisite skills explicitly and in sequence, helping students make meaningful connections between what they know and what comes next, supporting both Tier 1 and Tier 2 instruction.
Below, we have compared the report’s list of necessary prerequisites (grade 6-8) and identified the Exact Path lesson that teaches each skill and the applicable concepts. After removing duplicate entries and skills taught exclusively in 9th grade, 28 unique skills remain—each addressed by a targeted Exact Path lesson and its supporting concepts:
It’s important to note that each key predecessor skill depends on earlier foundational concepts. Exact Path is intentionally designed to teach these concepts in a logical, sequenced progression. This sequencing isn’t just a feature; it’s essential. The TNTP report highlights that instructional coherence is as crucial as identifying the right skills: students need to learn the right skills, in the right order, with effective scaffolding. In Exact Path, students develop proportional reasoning, rational number fluency, and coordinate plane skills in a sequenced way, which together prepare them to master graphing linear equations and calculating rate of change.
Exact Path lessons are clearly and intentionally aligned to standards and grounded in research-based instructional frameworks that ensure students build fluency and understanding over time. Concepts are segmented into manageable chunks, presented with cognitive load in mind, and introduced in a logical order that reflects the way students actually learn by connecting new ideas to prior knowledge.
Success in Algebra 1 depends on more than isolated remediation. Exact Path supports learners across the full spectrum by developing number sense, reinforcing proportional relationships, and advancing from concrete representations to abstract reasoning. It does this through intentional scope and sequence and a learning model that emphasizes meaning-making, conceptual understanding, and fluency. This alignment between instructional design and research-based skill progressions is what makes Exact Path an effective tool for closing learning gaps and accelerating long-term success in math.
Together, these design principles ensure that Exact Path not only develops the key predecessor skills identified as critical for Algebra 1 success, but also delivers them through a coherent, research-based instructional sequence—directly reflecting the TNTP report’s core conclusions.
Reference
TNTP. (2025, May 13). Unlocking Algebra: What the Data Tells Us About Helping Students Catch Up. TNTP. https://tntp.org/publication/unlocking-algebra/
About the author
Stephanie Gold brings over two decades of experience in educational leadership, curriculum development, and digital learning to her role as a Learning Designer at Edmentum. With a deep-seated passion for transforming education through technology, Stephanie has held pivotal roles in STEM education, course design, and school leadership, notably influencing digital curriculum development across various educational settings.
With a Master of Arts in Science Education from New York University and now pursuing a Master's program in Instructional Design and Technology, Stephanie is adept at integrating pedagogical expertise with technological acumen to craft educational experiences that resonate with both students and educators. Her journey through the educational landscape includes leadership positions in Independent Schools, Online Schools, and the development of Professional Learning Platforms.
]]>
While ongoing formative assessment supports instruction, targeted test readiness ensures students are ready to demonstrate their knowledge on state assessments. Preparing for these high-stakes moments isn’t about last-minute cramming—it’s about building familiarity, confidence, and skill fluency over time.
In the lead-up to testing, educators can use Exact Path Standards Mastery for independent practice.
This mirrors the format and rigor of high-stakes tests while supporting learning and retention through repetition and feedback.
As students engage in independent practice, educators receive real-time data showing which standards have been mastered and which still need attention. This is where Exact Path Standards Mastery shines—equipping educators at every level with actionable insight.
This ensures that instruction in the final weeks is sharply focused on closing remaining gaps.
Start incorporating test prep using independent practice 6–8 weeks before testing. Structure your weeks to focus on standard clusters that align with state blueprints.
The short 10-question format allows practice to be embedded flexibly as bell ringers, exit tickets, or review stations.
What makes this strategy so effective is how seamlessly it integrates into instruction. Educators don’t have to reinvent the wheel—Exact Path Standards Mastery does the heavy lifting with flexible, pre-built, auto-graded assessments to inform instruction and drive content reviews and test prep.
Together, ongoing formative assessment and strategic test practice form a complete instructional cycle. Exact Path Standards Mastery empowers educators to monitor progress all year, adjust instruction in real time, and prepare every student for proficiency and test success.
This article focuses on implementing effective, year-round formative assessment to monitor progress on grade-level standards. In part two, we explore how to shift that focus to targeted, high-impact test readiness as state assessments approach—and how the same tool can serve both goals with ease.
In today’s classrooms, year-round formative assessment is essential for monitoring the effectiveness of instruction, identifying specific student needs, and ensuring proficiency in state standards. When done effectively, frequent, consistent short-cycle assessment provides a roadmap for tackling students’ ongoing proficiency needs. But without a sustainable strategy, the effort can feel overwhelming.
That’s where Exact Path Standards Mastery provides a game-changing solution: real-time data, efficient tools, and actionable insights at every level.
Formative assessment isn’t a one-time event—it’s a mindset of continuous check-ins and instructional adjustments. Exact Path Standards Mastery makes this easy with pre-built, state standards-aligned assessment sets that draw on deep pools of items. Educators simply select the standards they wish to assess, assign the corresponding 10-question assessment, and instantly receive data on student performance. These assessments are auto-graded, saving teachers valuable time and providing immediate insight into who has mastered the content, who just needs a bit more practice, and who needs reteaching.
The key to effective year-round formative assessment is consistency. Implementing a rhythm of frequent low-stakes checks allows educators to spot potential gaps early and respond before they become obstacles to proficiency.
Because these assessments are short, targeted, and easily administered, they fit seamlessly into existing classroom routines.
What sets Exact Path Standards Mastery apart is the visibility it offers. Data is instantly available not just at the classroom level, but also at the student, subject, grade, school, and district levels. This multi-tiered insight supports instructional decisions from individual just-in-time supports to systemwide resource allocation.
This ongoing data collection helps ensure every student is making progress toward grade-level proficiency and allows schools to be agile and responsive in improving readiness for state testing.
Exact Path Standards Mastery saves time. With a nearly unlimited bank of pre-built, standards-aligned assessments, educators don’t have to spend hours writing, formatting, or grading quizzes. Everything is ready to go. The educator simply chooses what they’d like to assess, and the system handles the rest.
In short, ongoing formative assessment doesn’t have to be time-consuming or inconsistent. With Exact Path Standards Mastery, schools can make it a routine part of teaching and learning, fueling targeted instruction and paving the way for accountability success.
Formative assessment isn’t just about gathering data—it’s about acting on it to move students forward. With Exact Path Standards Mastery, educators gain the tools and time they need to make informed instructional decisions, every single week. It’s how schools stay responsive, students are consistently supported, and instruction remains aligned to grade-level expectations.
But as state testing approaches, priorities naturally shift. Educators need to go from spotting standards gaps to building confidence and readiness for high-stakes performance. That’s where part two of this series picks up—showing how to use the same Exact Path tool to pivot seamlessly into targeted test preparation that empowers students to show what they know when it matters most.
As we celebrate the 14th Global Accessibility Awareness Day (GAAD), we're reminded of a fundamental truth in education: learning should be accessible to everyone. Established in 2012, GAAD is celebrated on the third Thursday of May each year and has grown into a worldwide movement dedicated to digital access and inclusion. This annual event encourages people to think, talk, and learn about how to make digital technology accessible and inclusive for the more than one billion people worldwide with disabilities and impairments. From its humble beginnings, GAAD has expanded to include hundreds of events across more than 35 countries, bringing together everyone from developers and designers to educators and policymakers. These events—whether virtual webinars, in-person workshops, or community discussions—all share the common goal of raising awareness about digital barriers and how to overcome them.
At Edmentum, accessibility isn't just a compliance checkbox—it's core to our mission of creating innovative, proven learning acceleration solutions, partnering with educators to ignite student potential. We believe that educational technology should open doors rather than create barriers, which is why we've made accessibility a cornerstone of our product development and content creation processes.
Digital accessibility means designing digital content and technology so that people with disabilities can use them effectively. This includes individuals with visual, auditory, motor, cognitive, or neurological differences who may interact with technology in a variety of ways.
For students, inaccessible educational technology can mean the difference between engagement and exclusion. When a visually impaired student can't access an image without alt text, or when a student with motor challenges can't navigate a poorly designed interface, we're not just failing to meet technical standards—we're failing to provide equal educational opportunities.
The Web Content Accessibility Guidelines (WCAG) provide the foundation for digital accessibility. Currently, we adhere to WCAG 2.2, which organizes accessibility principles under four main pillars:
By following these guidelines, we ensure that our educational content works for everyone, regardless of how they access or interact with it.
Universal Design for Learning (UDL) is a framework that guides the design of learning experiences to meet the needs of all students. Developed by CAST (Center for Applied Special Technology), UDL is based on cognitive neuroscience research and focuses on three key principles:
At Edmentum, we've integrated UDL principles into our product development process, recognizing that designing for variability from the start benefits all learners. UDL and digital accessibility work together hand-in-hand—while accessibility ensures that content can be technically accessed by users with disabilities, UDL expands on this foundation to create learning experiences that are engaging and effective for everyone.
For example, providing closed captions on videos not only makes content accessible to deaf or hard-of-hearing students (an accessibility consideration) but also helps English language learners, students in noisy environments, and those who process information better through reading than listening (a UDL approach).
At Edmentum, we've embraced a dual approach to accessibility: ensuring all new content is "born accessible,” and remediation of existing content.
Born-accessible content means designing with accessibility in mind from the start, rather than retrofitting it later. This approach not only creates better experiences for users with disabilities but also typically results in improved usability for everyone. When we design for diverse needs from the beginning, we create more thoughtful, flexible, and user-friendly educational experiences. For example, our product development teams consider how a student who may be visually impaired would interact with our products while also keeping the level of engagement high for students with no visual impairments. This results in an equivalent experience that is usable for all learners.
Here are some examples of born accessible content in Courseware and Exact Path:
All new videos include a transcript that provides scene descriptions for content presented in the background of the video that may not be discussed in narration.
All new videos have narration and include synchronized closed captioning files.
Images used within videos and alongside content provide high contrast between the background, image, and text (where needed).
Math content is made compatible with screen readers and zooming functionality by using MathJax, an engine that displays mathematical notation in web browsers as text instead of images of text.
Students are able to use highlighters within instruction to help with high contrast, as well as note-taking.
Our commitment to accessibility has required significant investment in remediating our extensive content library. Some key achievements include:
This massive undertaking represents not just technical compliance, but our dedication to ensuring that every student can engage with our content on equal terms.
Creating accessible content represents only half the equation—we also verify the effectiveness of our efforts. We take a comprehensive approach to evaluating our accessibility:
Edmentum partners with Level Access to leverage their digital accessibility platform and 25 years of experience to achieve and sustain conformance to accessibility standards. We use Level Access’ digital accessibility platform to evaluate our digital properties in accordance with best practices and, supported by a representative team of accessibility professionals, including users with disabilities.
For each of our core products, we leverage our partnership with Level Access to publish Voluntary Product Accessibility Templates (VPATs) every year. The VPATs document how our products conform to accessibility standards. These detailed reports allow educators and administrators to make informed decisions about which tools will best serve their diverse student populations.
Accessibility isn't a one-time achievement but an ongoing commitment. We regularly review and update our content and platforms to address new accessibility challenges and incorporate emerging best practices by providing ongoing training and documentation to our product and technology teams.
We're proud of our accessibility efforts, but we recognize that this work is never complete. We continue to learn, improve, and adapt to meet the diverse needs of all learners.
To learn more about our commitment to accessibility:
Global Accessibility Awareness Day reminds us that digital accessibility isn't just about technical compliance—it's about creating equal opportunities for all learners. At Edmentum, we're committed to building educational technology that empowers rather than limits, that includes rather than excludes.
By making our content accessible, we're not just following guidelines; we're affirming our belief that every student deserves the chance to learn, grow, and succeed. As we continue to innovate in educational technology, accessibility will remain at the heart of everything we create.
About the author
Dr. Wendi Tierney has over a decade of experience in education. With a broad range of experiences within education, accessibility became her passion throughout her time in the classroom as well as her time here at Edmentum.
She has expertise in literacy and social studies teaching, from grades 4-12, where she worked in many roles over her years in public education. These roles included ELA teacher (grades 4-12), Social Studies Teacher (grades 4-12), Teacher Technology Coach, Mentor Teacher, Certified Teacher Evaluator with NIET, and Professional Learning Leader through a Special Education grant with the state of Louisiana.
At Edmentum, she has worked in a variety of roles including Content Designer, Content Specialist, and Accessibility Strategy and Implementation Manager. Each of these roles has included product expertise in every Edmentum product.
Her academic research explored ways to make digital curriculum accessible for all students. This research, training, and follow-up surveying was conducted within the Edmentum organization. After completing her Doctor of Education in Curriculum and Instruction, she pursued leading the Accessibility Program for Edmentum by working with the ad hoc Accessibility Working Group that consisted of multiple stakeholders across departments.
]]>This trend presents challenges for district enrollment and funding, but also offers new opportunities for school systems to bring students back by thinking strategically. Flexible offerings, part-time enrollment, and even becoming an approved ESA provider are options for districts to consider.
The rise in homeschool participation isn’t isolated—it’s happening across nearly every state. According to EdChoice’s 2025 ABCs of School Choice report:
The result? Fewer full-time enrollees in public schools and a direct hit to district budgets tied to Average Daily Membership (ADM) or Average Daily Attendance (ADA).
Education Savings Accounts (ESAs) provide families with state funds to use on approved educational expenses, including online courses, tutoring, and supplemental curriculum. ESA programs in Alabama, Arizona, Arkansas, Georgia, Louisiana, and South Carolina with active ESA programs explicitly include homeschool students.
In states like Arizona, where the ESA program is universal, districts can register as ESA vendors, offering part-time courses, tutoring, or credit-bearing virtual classes that homeschool families can purchase with ESA funds.
For districts, this is a chance to re-engage learners through non-traditional channels.
Another approach that’s gaining traction is part-time enrollment for homeschooled students. In some states, laws allow homeschoolers to enroll in one or more public school classes, which generates prorated funding for the district.
States with clear statutory language supporting part-time public school enrollment include:
Districts in these states can expand access to online electives, lab-based science courses, or CTE programs to incentivize re-engagement from homeschool families—without requiring full-time enrollment. And even in states without explicit language, local policy or board action may still allow part-time enrollment.
Forward-thinking school systems are proactively responding to these trends. Here’s how:
Families are seeking choice and flexibility. Districts that respond with adaptive programming, open access, and innovative partnerships stand the best chance not only of stemming enrollment losses, but turning them into opportunities for growth.
Learn how Edmentum can help you meet families' needs for flexibility and quality education while keeping students enrolled in your district with EdOptions Academy’s turnkey virtual learning.
Traditional vocational and training programs evolved into Career and Technical Education (CTE) two decades ago. Although this led to some expansion in focus and availability, CTE programs are still often promoted only to some students, and particularly a segment of students who are considered to be on a “non-college” track.
Now, the broader and increasingly accepted term, Career-Connected Learning (CCL), includes both CTE and career pathways and features an expanded focus and reach shaped by growing evidence of improved academic outcomes. The goal of CCL is to enable all students to graduate both college- and career-ready. Importantly, building quality CCL programs is an objective for all members of a district’s leadership team—not only the CTE directors who traditionally oversee such programs, but also superintendents, curriculum directors, principals, and other leaders responsible for overseeing teaching and learning. Backed by research, CCL is increasingly gaining traction because it reflects and responds to the real-world needs of today's students, as well as the evolving demands of the job market.
For too long, CTE was treated as vocational or non-academic. It was seen as a fallback for students who weren’t college-bound. But those days are over. A broad consensus is beginning to emerge: all students deserve access to high-quality CTE, and it should be viewed as a crucial framework that prepares learners for both higher education and the workforce.
During a recent Edmentum webinar, Deb Delisle, former U.S. Assistant Secretary of Elementary and Secondary Education and State Superintendent of Schools for Ohio, emphasized that a focus on career-connected learning for all is really about expanding economic mobility. She pointed out that too many students graduate without a clear sense of direction, and that CCL can play a vital role in helping them identify their interests and skills and then connect those to meaningful career paths.
This shift is visible in the data, too. According to an Advance CTE report, in 2024 alone, 40 states enacted more than 150 policies to enhance career readiness and accessibility, the most since 2019. These changes reflect a growing recognition that our traditional education systems haven't kept up with modern student needs or job market demands.
Consider the powerful example shared by Edmentum’s CEO Jamie Candee during the same webinar: a student who was nearly expelled because he’d missed so much school found purpose in forensic science and criminal justice courses. That coursework turned into motivation, and graduation became a stepping stone to a career—not just a school requirement. Stories like these illustrate the impact of exposure to hands-on, relevant learning opportunities.
States like Indiana and Maryland are transforming accountability systems to include career learning experiences as graduation requirements. Maryland is going a step further: by 2030, all high school graduates must earn an industry-recognized credential or complete a registered apprenticeship. These forward-thinking policy decisions signal a big shift in what it means to be "ready" for life after high school.
There’s a certain urgency here, too, given that the workforce is undergoing a "silver tsunami," as veteran employees retire in droves. Because in the process, they’re taking decades of institutional knowledge with them.
Schools are forming partnerships to bridge this gap. Students are not just learning about careers, they’re also experiencing them firsthand, from internships and job shadowing to building homes through Habitat for Humanity and participating in career-themed academies.
As Tim Taylor, co-founder and president of America Succeeds, puts it, technical skills alone are no longer sufficient for jobs. His organization analyzed 88 million job descriptions and found that eight of the top 10 most in-demand skills are "durable skills" like critical thinking, communication, and collaboration.
These skills often develop through real-world experiences, project-based learning, and student-led initiatives. Knowing the answers isn’t enough. Students need to apply their knowledge in authentic settings and learn what it means to function as capable, responsible adults.
Donald Fennoy II, former superintendent of the School District of Palm Beach County, says career-connected learning goes beyond job training. It helps students learn how to interact with others, take responsibility, and gain real-world experience that prepares them for both work and life. He also stresses the need for strong partnerships with business and industry, since schools often can’t update curriculum fast enough on their own. For Fennoy, this kind of learning gives students the practical skills and global perspective they need to succeed.
Research from the CTE Research Network reinforces this. Over two decades of studies show that students who engage in high-quality CTE are more likely to complete high school, enroll in two- or four-year colleges, earn industry credentials, and secure employment with higher wages.
Rather than channeling students into narrow career tracks, we can instead empower them with skills that support multiple pathways: college enrollment, meaningful employment, or even military enlistment, as seen in Virginia’s 3E accountability framework (Enrollment in post-secondary institutions, Employment, and Enlistment in the military).
Indeed, it’s time for the whole concept of postsecondary readiness to change. Rather than focusing on just academic achievement, we need to help students learn to apply their knowledge under real-world conditions. And this starts with giving them opportunities to do so.
Deloitte’s 2025 Global Human Capital Trends survey highlights an “experience gap” in Generation Z. Employers increasingly want entry-level candidates with 2-5 years of experience. What they’re really seeking are workers who can apply knowledge in context and who already possess skills like problem-solving, time management, and the ability to prioritize. This expectation is only going to grow.
Middle school is actually emerging as the new frontier in comprehensive career-connected learning. Research shows that early career exploration helps students connect their interests to long-term goals. Middle school is a critical transition period where real-world learning can boost student engagement and help close achievement gaps.
Edmentum Career is helping districts lead this shift with a comprehensive approach for grades 6-12. Students begin by discovering their interests through surveys and exploring broad career fields, such as digital citizenship, health sciences, and engineering. By high school, they dive deeper into over 180 semester-long courses aligned to the 14 Career Clusters.
This type of layered experience gives students agency. They can sample a wide range of fields before choosing to specialize, which reduces the pressure of early decision-making and helps align passions with practical outcomes.
Students who "concentrate"—which means they take three or more CTE courses in a specific field—see even greater benefits. They graduate with industry-recognized credentials and are better prepared to adapt in a fast-changing workforce. And with 57 multi-year pathways available, Edmentum enables students to tailor their journey and build a portfolio that employers respect.
Sarah Miles, National Solutions Director at Edmentum, emphasizes that building an effective CTE program takes collaboration across a wide range of stakeholders. It’s not just about district leadership; it’s about forming relationships with local industries and involving them directly in program design. When employers participate in advisory panels and planning teams, schools are better positioned to align coursework with real workforce needs—opening doors to internships, apprenticeships, and career pipelines that begin before graduation.
While stakeholder collaboration ensures programs reflect real-world needs, the design and delivery of curriculum itself also plays a pivotal role. In a webinar covering CCL for all, Jason Bass, Edmentum’s Senior Vice President of Courses and Career, highlighted the importance of a flexible, engaging curriculum. Edmentum’s scaffolded courses include pre-tests, tutorials, mastery checks, and interactive tools that support learning at every stage. Because the courses are customizable, schools can adapt them to meet the unique needs of their communities—ensuring content stays relevant, rigorous, and responsive to evolving job markets.
Another key element is the integration of durable skills, which are essential for success across career sectors. Through a partnership with America Succeeds, Edmentum embeds these skills into the curriculum. This allows us to teach not just technical knowledge, but also how to lead, collaborate, and solve problems in dynamic (read: real) environments.
Getting these programs off the ground isn’t always easy, of course. One major hurdle is funding: CTE programs often receive a small slice of K-12 budgets. However, when districts see CTE as essential to their academic strategy—not just an add-on—it can absolutely open the door to braided funding models and stronger alignment with postsecondary and industry partners.
Further, through a partnership with Interplay Learning, Edmentum Career gives students the opportunity to engage in simulation-based learning in nine of the most high-demand skilled trades—including HVAC, electrical, and plumbing—without the need for expensive equipment and facilities. This disrupts the status quo of trade prep by making experiential, job-ready training available to students everywhere.
Teacher capacity can be another challenge. CTE educators need both industry knowledge and classroom pedagogy. Edmentum supports schools with coaching, on-demand help, and access to credentialed instructors who can lead online instruction tailored to local needs and schedules.
Many educational leaders are excited by the transformative potential of career-connected learning. It's less about steering students down a single path and more about opening doors. As students increasingly navigate nontraditional routes and multiple career changes, educators must provide the durable skills and practical experience to keep up.
Programs like Edmentum Career exemplify this future. They provide flexible, customizable solutions for districts aiming to give every student a strong start. From exploration in sixth grade to capstone projects that link learning to the workplace, this model is designed to help students succeed in the long term.
Districts are clear about what they want. The objective is to graduate students who are equipped to thrive. They're asking for systems that support whole child development, integrate real-world context, and prepare learners for a complex, evolving job landscape. From educators to employers, stakeholders tend to share this vision.
So, as state policies evolve, funding models improve, and more success stories emerge from classrooms and communities, the case for career-connected learning grows stronger. And the momentum, of course, continues to build.
What’s exciting about career-connected learning is that it’s not a trend. It’s a fundamental rethinking of how we prepare students for life. By prioritizing real-world skills and opportunities in our schools, we’re not just helping students graduate. We’re giving them the tools to thrive in any path they choose.
The most effective way to achieve this is not by adding more to educators’ plates, but by streamlining how assessments are used. That’s where a strategic split between ongoing formative assessments and targeted practice becomes powerful. When these two functions are clearly defined and thoughtfully deployed, they work in tandem to give educators what they need when they need it: real-time instructional insight and test-readiness support.
While both formative assessments and test practice aim to advance learning, they serve distinct purposes in the instructional cycle:
By distinguishing between these two modes—not just in function, but in delivery—educators are empowered to take a more intentional approach. Each serves a unique role in helping students master content and prepare for the stakes of state testing.
Bundling all assessments under one umbrella dilutes their purpose. Educators might be left guessing: Is this a teaching tool or a testing tool? By contrast, a clear, dual-mode system simplifies execution. Educators know exactly when and how to use each—no second-guessing, no wasted time.
Together, they create a cadence of learning and rehearsal that drives both classroom success and systemwide proficiency gains.
A strong strategy doesn’t require overhauling instruction; it requires consistency and clarity. Here's a four-step plan to implement both modes without creating new burdens:
This isn’t about adding more assessments. It’s about using them more purposefully—turning every insight into action, and every action into momentum.
The ultimate goal? Not more tests. Not just better scores. But proficiency with purpose—grade-level mastery that’s sustained, scalable, and measurable. A strategy built on both real-time insight and rigorous practice closes learning gaps faster and supports achievement at every level—from the individual student to district-wide accountability targets.
If you’re ready to streamline your assessment approach and accelerate progress toward accountability goals, Edmentum’s Exact Path Standards Mastery was built for this moment. With a nearly unlimited bank of state standards-aligned items, auto-grading, rich data reporting, and dual-mode flexibility, Standards Mastery turns assessment into a strategic advantage, making teaching more efficient, learning more intentional, and accountability success more attainable.
]]>
“I just don’t ‘get’ math.”
We’ve all heard students say some version of these statements. Perhaps we’ve even said them ourselves. Yet, we know that any student can be a capable math learner when they understand what’s possible. With a dedicated teacher on their side, kids can learn anything.
For this piece, we asked a few of Edmentum’s middle school math teachers—each of whom has years of experience teaching both in traditional and online settings—to share their insights for helping students build confidence and develop their math skills.
Heather Lane is in her fourth year with Edmentum and currently teaches middle school math. Prior to joining Edmentum, she spent over 10 years teaching middle school math in-person. She also spent time as an elementary math teacher, but her true passion is in the middle grades.
How Heather helps students understand they are capable of learning math:
"No matter a student's background or skill level, my goal is to make math accessible and approachable. I break concepts down into clear, manageable steps, ensuring they can be easily followed. By identifying and filling in any gaps in understanding, I help students build confidence to tackle problems independently.”
Bill Phare is a math educator with 18 years of teaching experience, including being with Edmentum since 2018. He holds a BS in Mathematics from the University of Colorado - Denver and a M.Ed in Curriculum and Instruction with an emphasis in Digital Teaching and Learning. Bill has taught students from young elementary through AP courses, designing engaging, standards-based lessons that foster conceptual understanding and confidence.
How Bill helps students understand they are capable of learning math:
“I foster an environment built on growth mindset, clear communication, and personalized support. I strive to create a supportive environment where mistakes are part of learning, and I use clear, consistent pedagogy along with multiple instructional strategies to build understanding of mathematical concepts. My goal is to build confidence and curiosity, helping students internalize the belief that they can succeed in mathematics with persistence and support.”
Jackie Varner been teaching math for eight years, with three years in a brick-and-mortar classroom and five years as a virtual math teacher. Jackie's passion lies in making math accessible and meaningful for all learners, helping them build confidence and achieve success. She strives to change the narrative that "math is hard" by breaking down concepts in a way that makes sense to students, showing them that math is not only understandable but also enjoyable.
How Jackie helps students understand they are capable of learning math:
“I help all students understand that they are capable math learners by fostering a growth mindset and creating a supportive learning environment. I remind my students that mistakes are part of the learning process; if they don’t know an answer, it’s okay because we will review the questions together as a class. Sometimes during practice problems, I pair students so they can collaborate, discuss their thinking, and learn from each other. By celebrating progress, providing meaningful feedback, and setting high expectations with support, I help build my students' confidence in their ability to succeed in math.”
Ashleigh O’Neill has been an educator for more than 20 years as a classroom teacher, curriculum coordinator, mathematics specialist and administrator.
How Ashleigh helps students understand they are capable of learning math:
“It's important for students to believe that they can be successful in their math courses. Sometimes, students have self-limiting beliefs that make it difficult for them to find success. Working with students individually and allowing them to see their own strengths often helps restore a student's confidence.”
One effective strategy for helping middle school students develop their math skills is using visual models to teach fraction operations, particularly in grades 6 and 7. Fractions are often an intimidating concept for students because they involve multiple rules for different operations, making it easy to feel overwhelmed. Many students struggle with adding, subtracting, multiplying, and dividing fractions because they rely solely on memorized procedures without truly understanding the concepts behind them. By incorporating visual aids such as fraction bars, number lines, and area models, students can better grasp how fractions relate to one another, making these operations more intuitive.
In 7th grade, solving equations is a critical skill that helps students build a strong algebraic foundation. At this stage, students transition from basic arithmetic to understanding variables, inverse operations, and balancing equations. Many struggle because they see equations as abstract rather than logical steps that maintain balance. A helpful strategy is using concrete models, such as online algebra tiles or a balance scale analogy, to show that whatever is done to one side of the equation must also be done to the other. These hands-on approaches help students visualize the process and develop confidence in solving equations independently.
In 8th grade, developing a strong understanding of slope and rate of change is essential. Many students struggle with slope because they see it as just a formula rather than a concept that describes real-life relationships. To make it more meaningful, I use real-world applications and visual representations. I relate slope to familiar scenarios, such as the steepness of a ramp, speed in miles per hour, or the cost per item when shopping. By connecting slope to real-life experiences, students gain a deeper understanding of how rates of change apply beyond the classroom.
By using visual models, concrete manipulatives, and real-world connections, students develop a stronger conceptual foundation, making math more engaging and accessible. These strategies help students gain confidence, improve problem-solving skills, and prepare them for more advanced math courses.
Middle school students often need to have the work broken into smaller chunks so the content doesn't feel overwhelming. The content also needs to feel relatable—if it doesn't feel like it connects to the student's real-life experiences, it's harder for them to make the leap from abstract to concrete concepts.
In an online setting, I use interactive tools like Desmos and virtual manipulatives to help 6th and 7th graders grasp concepts like ratios, proportions, and fraction operations. These visual platforms keep students engaged and make abstract ideas more concrete.
For 8th grade, I use GeoGebra and coordinate plane tasks to teach the Pythagorean Theorem. Students explore right triangles, calculate distances, and visually confirm the theorem in real time. I also try to use collaborative activities, like breakout rooms, to encourage peer discussion and strengthen conceptual understanding.
I had a student that was really struggling in math. His mom reached out and asked if I would meet with him on Zoom (at the time, he felt so lost that he was uncomfortable asking for help). We set up a call and I spent some time getting to know him better.
We had some common interests, so we talked about them a little bit and then transitioned to the math assignments. He was overwhelmed. The math was just not making sense to him. He struggled with the terminology, so I rephrased some of the procedures to put them in simpler terms. Then, I asked some of the questions on an assignment and he was able to do them! That was a big boost to his confidence.
The student and I met throughout the semester working through any difficulties that came up. Occasionally, it was a skill that needed to be sharpened, but most of the time he just needed to talk over the math and have it phrased in a way that made sense to him. I had the student again the following year, and he sailed through with confidence and great success! We only met 1-on-1 once that year, at the end...he wanted to tell me thank you.
Visit our Math Success Toolkit for videos, articles, and other resources to support students' math learning. Or, visit our virtual learning page to learn about scalable, human-centered, pedagogically sound virtual instruction to help you address teacher shortages, increase capacity, and expand options in your district.
]]>
Below are 15 ideas to help school leaders celebrate teachers and foster a sense of connection and gratitude across the building:
Many restaurants, stores, and online retailers offer freebies and discounts during Teacher Appreciation Week. We’ve compiled a list of more than 65 deals you can share with teachers. You can also encourage them to enter Edmentum’s gift card giveaway!
Regularly shining the spotlight on your staff, via a post from your school social media accounts, an email blast, or just an old-fashioned shout-out during your next team meeting, is great way to show you see the incredible things they are doing and value how hard they are working. You can even start sharing these free downloadable gratitude cards with your staff right now.
Arranging a special staff lunch, setting up a coffee and donuts one morning, or even taking the time to celebrate a teacher’s birthday are all easy ways to show your staff you care. But taking the extra step of including a fun theme can really wow the crowd by showing that you’re willing to put in the extra effort to make things special. Check out these fun theme ideas by Julie David.
A handwritten note from the principal recognizing each teacher’s unique impact can go a long way in making them feel seen and appreciated. To make them authentic and meaningful, be sure to set aside time to share something personalized for each of your teachers.
Offer short breaks by stepping in to cover a class. As everyone challenged by tight school schedules can understand, even 30 minutes of downtime feel like the world to an overextended teacher.
Go the extra mile by periodically selecting a member of your staff to be the teacher’s lounge ‘Star of the Week.’ You can find a simple Star of the Week template online, and either have your Star Educator fill it out themselves with a few fun “get-to-know-me” facts or create their Star of the Week poster yourself. Once it’s ready, find a place to put it up where everyone can see. It may seem a little silly at first, but spotlighting your teachers shows that you see them (and appreciate) who they are, inside and outside of the school building.
Here’s a chance to teach your teachers: this week, there is such a thing as a free lunch. Bring in breakfast, lunch, or create a rotating snack and coffee bar to keep spirits high throughout the week.
Organize ways for students to share their thanks—whether through morning announcements, a gratitude wall, or heartfelt notes delivered to teachers. As much as teachers enjoy being celebrated by their principal, there’s nothing like appreciation from students.
Design a simple menu where teachers can request small treats or supplies to be delivered to their rooms by staff or volunteers.
Plan lighthearted dress-up days that give everyone a reason to smile—think “decades day” to dress like the ‘80s or ‘90s, dress like your teacher, or favorite book characters.
Partner with a local spa or therapist to provide a day of chair massages or transform the lounge into a peaceful recharge zone. Make sure to plan for coverage during the day so teachers can truly relax and take advantage of the offer.
Teachers are under a lot of pressure and we know they put their whole selves into their work. It can often feel difficult to ask for support when needed, or they may simply feel too busy to even think about it. Make it a routine to encourage and support self-care. You can start by sharing these ideas.
Secure donations from local businesses and run daily drawings for gift cards or small prizes. It’s a simple way to inject joy into each day (and don’t forget to have your teachers enter Edmentum’s gift card giveaway).
Use school announcements, social media, and even campus signage to highlight your teachers’ achievements and contributions.
Take these ideas to the next level by making them a surprise. After all, who doesn’t love some unexpected perks?
Let’s Celebrate Teachers, Together
Teacher Appreciation Week 2025 is more than just a few days on the calendar—it’s a meaningful opportunity for schools and communities to come together in recognition of those shaping our future every day.
Whether it’s a handwritten note or a free coffee, these thoughtful gestures make a big impact. When principals lead the charge in showing appreciation, it sets the tone for a school culture rooted in respect, gratitude, and collaboration.
]]>Read below to learn more about Edmentum’s $500 gift card giveaway, along with a list of restaurants, stores, and online retailers offering freebies and discounts for Teacher Appreciation Week. If you’re a principal, share it with your teachers. And if you’re a teacher: thank you for all you do!
To celebrate educator appreciation, we're giving three lucky winners a $500 gift card to their choice of Amazon or Target. Eligible educators can enter now for a chance to win and the giveaway will begin on April 28. Enter the Edmentum Teacher Appreciation Giveaway here.
We’ve rounded up some of the free offers available to educators below:
Many restaurants and retail businesses are also offering discounts:
From all of us at Edmentum—thank you, educators, for the difference you make every day. We hope this list helps you take advantage of the recognition you so richly deserve.
]]>Here are four foundational questions every district should ask when evaluating its current intervention program or considering a new one:
The right tool should accelerate academic growth across diverse student groups, not just show activity or completion. It should also make it easy for educators and leaders to track that growth with meaningful reports tied to research-based usage goals.
Can you connect program usage directly to student improvement? Can you see the impact at the classroom, school, and district level? If not, it might be time to rethink what “effective” really means.
Short-term engagement is easy to manufacture. But the real test is whether students stay motivated over time, especially in multi-year implementations. Are the lessons developmentally appropriate across K-12 and personalized to individual learners? Do students see themselves reflected in the content, characters, and voice?
If every student gets much the same experience regardless of grade level, ability, or age, that’s a red flag. Long-term learning requires more than just logging in. It requires students to want to come back.
Diagnostics and placement tests are necessary. But if they’re eating into days—or weeks—of instructional time, it’s worth asking: are they efficient enough?
Assessment should be accurate and reliable, but also time-conscious. The best solutions provide the information educators need without taking over the calendar. Every day spent testing is a day not spent teaching, and students who need intervention can’t afford to lose that time.
Intervention should be powerful, yes—but also flexible. Are you paying only for the students you need to serve, or are you locked into bulk pricing? Are you stuck with additional vendors to support tiered intervention or credit recovery?
The most valuable programs adapt to your ecosystem and budget, not the other way around. It’s not just about spending less, it’s about getting more from what you do spend.
Students deserve interventions that do more than just “work.” They need programs that work better. That means proven growth, real engagement, instructional efficiency, and smart, scalable value.
If any of these questions gave you pause, you're not alone. More and more district leaders are re-evaluating the tools they’ve used for years; they’re asking, what else is possible?
At Edmentum, we built Exact Path to reflect these very priorities. Designed to grow with your students and support educators at every step, it offers a thoughtful, research-driven approach to intervention that respects time, celebrates progress, and drives meaningful outcomes. Backed by several ESSA-rated studies and proven effective across assessments and student groups, it delivers some of the strongest results available—at a price that makes sense for schools.
Take a closer look at Exact Path and see how it can support your goals for student success.
]]>Mathematical reasoning begins with recognizing when and how math applies to a real-world situation. Students must be able to reframe everyday scenarios as mathematical problems and reason through them using the concepts, strategies, and procedures they've learned. This process transforms informal observations into structured problem-solving opportunities, leading to deeper understanding and more flexible thinking.
To be mathematically literate, students need opportunities to reason, not just compute. Beyond standards and concepts, there are key mathematical understandings students need that support the development of mathematical reasoning:
The key understandings identified above are not taught in isolation; they are built through meaningful problem-solving experiences and deep engagement with mathematical thinking. When teachers use students’ informal reasoning as a starting point and guide them toward more formal concepts, they help students make sense of complex ideas and build lasting mathematical literacy. This approach creates a strong foundation for mathematical literacy by honoring students’ thinking and helping them connect intuitive strategies to more sophisticated mathematical structures.
Assign problems with multiple solution paths or strategies, where students must explain their thinking rather than just compute an answer. Research by Stein et al. (1996) shows that high-level tasks promote reasoning, representation, and connection-making. These tasks encourage students to explore structure, generalize, and make sense of relationships.
Incorporate number lines, bar models, diagrams, manipulatives, and student-created visuals to support reasoning. Representations help students move from concrete to abstract thinking. Research from Boaler (2016) supports the use of visual models to make mathematical structure visible and accessible. “When students learn through visual approaches, mathematics changes for them, and they are given access to deep and new understandings.”
Start with students’ own reasoning or invented strategies, then guide them toward more efficient or formal methods. Research shows (Baek, 2005) that students who used invented strategies before learning standard algorithms showed better understanding of place value and properties of operations.
Supporting mathematical reasoning means valuing how students think, not just what they get right. When instruction begins with students’ ideas and builds toward more formal understanding, learners become confident, creative problem-solvers. By prioritizing reasoning in our classrooms, we open the door to deeper understanding and help students see themselves as capable, empowered thinkers who can use math to make sense of the world.
References
Baek, J. M. (2005). Children’s mathematical understanding and invented strategies for multidigit multiplication. Teaching Children Mathematics, 12(5), 242–247.
Boaler, J., Chen, L., Williams, C., & Cordero, M. (2016). Seeing as understanding: The importance of visual mathematics for our brain and learning. Journal of Applied & Computational Mathematics, 5(5), Article 325. https://doi.org/10.4172/2168-9679.1000325
Henningsen, M., & Stein, M. K. (1997). Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for Research in Mathematics Education, 28(5), 524–549. https://doi.org/10.2307/749690
About the author
Stephanie Gold brings over two decades of experience in educational leadership, curriculum development, and digital learning to her role as a Learning Designer at Edmentum. With a deep-seated passion for transforming education through technology, Stephanie has held pivotal roles in STEM education, course design, and school leadership, notably influencing digital curriculum development across various educational settings.
With a Master of Arts in Science Education from New York University and now pursuing a Master's program in Instructional Design and Technology, Stephanie is adept at integrating pedagogical expertise with technological acumen to craft educational experiences that resonate with both students and educators. Her journey through the educational landscape includes leadership positions in Independent Schools, Online Schools, and the development of Professional Learning Platforms.
Edmentum's Exact Path is designed to help students build a strong mathematical foundation by addressing both the why (conceptual understanding) and the how (procedural fluency). The TEKS emphasize the need for students to grasp underlying concepts while also developing the skills necessary to work through math problems accurately and efficiently.
In Exact Path, lessons often begin by providing visual representations and real-world situations that illuminate the core ideas behind a concept. By presenting, for example, fraction models or geometric relationships, the platform fosters that initial “aha!” moment where students see the reasoning behind each topic. As students progress, they transition into more traditional problem-solving tasks. These activities guide them in mastering the appropriate algorithms or formulas, reinforcing procedural skills that are fundamental to success in higher-level mathematics.
Throughout this process, Exact Path weaves in the TEKS process skills in a practical way. Students are regularly encouraged to reason through questions, explain their thinking, and test their understanding in a variety of contexts.
Let’s look at the Knowledge & Skill Statement 5.6 as an example. In 5.6, the student applies mathematical process standards to understand, recognize, and quantify volume. The student is expected to:
In our Grade 5 mathematics module “Tanks a Lot” students work on finding the volume of a fish tank modeled as a rectangular prism. Our lesson embeds a structured problem‐solving process that aligns with TEKS process skills. First, students view a visual model of the tank, which helps them grasp the underlying concept (conceptual understanding). Next, the module guides them through a problem‐solving framework similar to Polya’s four-step method:
This interactive, scaffolded approach actively requires students to engage with the problem, apply a logical sequence of steps, and test their understanding through iterative practice and feedback. This model not only reinforces mathematical reasoning but also mirrors the TEKS emphasis on students demonstrating both conceptual insight and procedural fluency.
In a downloadable resource document, lessons and practice items are linked explicitly to TEKS Student Expectations (SEs), so educators can see where conceptual exploration is happening and where procedural fluency is being developed.
By explicitly intertwining conceptual understanding and procedural fluency in every aspect of lesson design—from initial exploration to final assessment—we ensure students grasp fundamental principles and develop strong, flexible skills that meet and exceed TEKS requirements. This approach nurtures mathematically proficient learners prepared to tackle increasingly complex concepts and real-world problems.
]]>Guest article by Dr. Shannon H. Doak, Director of Technology at Nanjing International School
At Nanjing International School (NIS) in China , we take immense pride in being at the forefront of educational innovation. As the director of technology, it has been my privilege to contribute to the integration of artificial intelligence (AI) into our curriculum and daily practices. This journey, characterized by both challenges and rewards, has provided us with valuable experiences, insights, and advice for other schools embarking on a similar path.
NIS has adopted a pioneering role in the region by integrating AI across various grade levels, from grades 2 through 12. Our early adoption and piloting of AI platforms have enabled us to explore and harness AI's potential to enhance learning experiences. We have conducted numerous professional development sessions for our teachers, covering essential topics such as advanced prompting techniques, custom-built educational chatbots, the use of an AI platform for launching virtual learning environments, and AI art generation.
Our real-life experience with AI integration has been transformative. Teachers are saving time and enhancing learning environments with AI, while students engage with our AI platform under teacher guidance. This hands-on approach has significantly boosted engagement from both teachers and students. One particularly interesting project involved an AI chatbot designed as a carbon footprint calculator. Grade 3 students used this chatbot to calculate their class's carbon footprint and received suggestions on reducing their impact. This project generated substantial interest, culminating in a guest speaker session for the entire grade level. This example highlights how we are addressing the needs of our students by helping them connect personal actions with the impact on climate change. AI is making a positive impact by fostering deeper understanding and engagement with critical real-world issues.
Our AI integration philosophies and practices are fully aligned with NIS' mission to inspire international-mindedness, personal excellence, and creative thinking, ensuring that our approach to AI supports our commitment to inclusion and sustainability.
Transparent communication with all our school constituents—senior leadership, the school board, parents, students, and teachers—has been crucial in articulating our intentions, philosophies, and the rationale behind integrating AI into our curriculum. By openly sharing our vision and the benefits we anticipate, we've fostered a deeper understanding and garnered substantial support from the community. This inclusive approach ensures that everyone is on the same page, promoting a collaborative and supportive environment as we navigate this innovative journey together.
As we integrate AI into our school environment, safeguarding our students remains a top priority. We train our teachers to educate students on the importance of not sharing personal information with AI platforms. Additionally, we ensure that any personally identifiable information is redacted before teachers utilize it in AI for professional purposes. To further protect our students, we have adopted an AI platform that does not require students to log in or create accounts, allowing them to benefit from AI without compromising their privacy.
AI is rapidly becoming ubiquitous in our world, and it is our responsibility as educators to prepare our students to use AI responsibly, safely, and appropriately. AI can revolutionize education by making it more contextually relevant to our students' needs. As we prepare students for a future filled with unknowns, we must equip them with the skills and knowledge to navigate and thrive in an AI-driven world.
To successfully integrate AI into your school, I recommend following a three-phase cyclical process: philosophy and guidance, action and implementation, and reflection and strengthening.
Integrating AI into education is a dynamic and ongoing process that requires careful planning, execution, and reflection. Recent advancements indicate AI’s potential to support individualized learning, in alignment with Universal Design for Learning (UDL) principles. At Nanjing International School, we have seen firsthand the transformative power of AI in enhancing education. By following a structured approach and prioritizing the safety and well-being of our students, we can harness AI’s potential to prepare them for a future where AI will be an integral part of their lives.
I encourage other schools to embrace AI with enthusiasm and caution, ensuring that their implementation strategies align with their educational missions and values. Together, we can create learning environments that are innovative, engaging, and safe for all students.
This article was written by Dr. Shannon H. Doak, director of technology at Nanjing International School. He is an edtech and innovation leader, speaker, author, Poe creator, coffee lover, and home barista. He is an experienced leader and educator at international and independent schools and has worked in international schools in China for almost two decades. He is an expert in blended learning and e-learning, and he is practiced in making professional development more effective. Dr. Doak is an expert in using Web 2.0 and 3.0 tools for professional learning. He is a lifelong learner and a social media and mobile device enthusiast, who believes that connection is the key to real learning. He is an AI enthusiast and early adopter. He holds an Ed.D. and a master’s in educational technology, a degree certificate in school technology coordination, and a Bachelor of Education in Elementary Education . Dr. Doak has been at the forefront of changing the digital and educational landscape of the schools he has worked for and is continually looking for ways that technology can improve teaching and learning.
]]>
In an Education Week article, Sarah Sparks explored the roots of math anxiety, its impact on students and teachers, and how outdated beliefs about who is 'good at math' continue to shape math instruction today. Sparks wrote, “there aren’t ‘math people’ and ‘non-math people,’ only those who work through the challenging lesson and those who surrender too soon.” This idea invites us to reconsider how we define math ability and how we can better support all learners. Let’s take a closer look.
While math anxiety is often assumed to result from poor math ability, research tells a different story. You might be surprised to hear that emerging cognitive and neuroscience research (Barroso et al., 2021) finds that math anxiety is not a response to poor math performance. In fact, four out of five students with math anxiety are average-to-high math performers. Rather, math anxiety is linked to higher activity in areas of the brain that relate to fear of failure before a math task, not during it.
Research consistently shows that anxiety can negatively impact academic achievement. When students experience math anxiety, their stress response takes over, making it harder for them to focus on solving problems (Eysenck et al., 2007). Instead of concentrating on the task, their attention shifts to their anxiety, often interpreting challenges as threats rather than opportunities to learn. This negative thought cycle can make it difficult to engage with the details of a math problem, as worries about failure or frustration take center stage.
Math anxiety can manifest in various ways, from subtle behavioral cues to more overt signs of distress. Students experiencing math anxiety may display avoidance behaviors, such as reluctance to participate in math discussions, hesitancy to attempt problems, or frequent requests for help on tasks they are capable of completing. They may also exhibit physical symptoms, such as tense posture, fidgeting, sweating, or even trembling when confronted with a math-related task, especially under time constraints. To identify students experiencing math anxiety, educators can observe these behavioral and emotional cues, listen for self-defeating language, and monitor how students engage with mathematical tasks. Recognizing these signs early allows educators to respond with strategies that build confidence, reduce stress, and foster a supportive environment where all students feel capable of engaging with math.
One major barrier to overcoming math anxiety is the prevalence of a fixed mindset; the belief that knowledge or skills are static and cannot be expanded, in this case, the belief that some people are simply 'not math people' while others are naturally gifted. These attitudes take root in childhood and shape how students respond to challenges. When students see intelligence as fixed rather than something that can grow with effort, they may avoid risks, struggle with setbacks, and develop anxiety around math. Research shows that fostering a growth mindset, emphasizing effort, strategies, and persistence, can help break this cycle and build resilience in mathematics (Blackwell et al., 2007).
By understanding the roots of math anxiety and addressing it through intentional, research-based strategies, educators can create learning environments where all students feel empowered to succeed. Tools like Exact Path not only provide personalized support and reduce pressure, but also help shift the narrative from fixed ability to growth and progress. When students are given the space to build understanding at their own pace and celebrate incremental gains, math becomes less about fear and more about possibility.
References:
Barroso, C., Ganley, C. M., McGraw, A. L., Geer, E. A., Hart, S. A., & Daucourt, M. C. (2021). A meta-analysis of the relation between math anxiety and math achievement. Psychological Bulletin, 147(2), 134–168. https://doi.org/10.1037/bul0000307
Blackwell, L. S., Trzesniewski, K. H., & Dweck, C. S. (2007). Implicit theories of intelligence predict achievement across an adolescent transition: A longitudinal study and an intervention. Child Development, 78(1), 246–263. https://doi.org/10.1111/j.1467-8624.2007.00995.x
Eysenck, M. W., Derakshan, N., Santos, R., & Calvo, M. G. (2007). Anxiety and cognitive performance: Attentional control theory. Emotion, 7(2), 336–353. https://doi.org/10.1037/1528-3542.7.2.336
About the author
Stephanie Gold brings over two decades of experience in educational leadership, curriculum development, and digital learning to her role as a Learning Designer at Edmentum. With a deep-seated passion for transforming education through technology, Stephanie has held pivotal roles in STEM education, course design, and school leadership, notably influencing digital curriculum development across various educational settings.
With a Master of Arts in Science Education from New York University and now pursuing a Master's program in Instructional Design and Technology, Stephanie is adept at integrating pedagogical expertise with technological acumen to craft educational experiences that resonate with both students and educators. Her journey through the educational landscape includes leadership positions in Independent Schools, Online Schools, and the development of Professional Learning Platforms.
As schools across the country navigate a range of student needs, it’s important to understand the distinct but complementary roles that growth and proficiency play in shaping student outcomes. By integrating these two approaches, schools can create a more holistic, data-informed learning environment that supports every student on their path to success.
Growth and proficiency are both essential components of academic achievement, yet they focus on different aspects of student development.
While growth helps to bring students up to speed, proficiency ensures they meet the expectations required for academic advancement.
Students come to school with diverse needs. Some may be performing well but need to refine their knowledge to stay at grade level, while others may need significant support to catch up. Focusing solely on growth may not prepare students for the rigor of standardized assessments and college- and career-ready standards. Similarly, focusing only on proficiency can overlook the needs of students who are still working to bridge gaps in their foundational knowledge.
The reality is that students need both. A growth-focused approach is essential for bringing students up to grade level, but proficiency-focused initiatives are critical for ensuring that once they reach grade level, they can continue progressing and achieving at the expected benchmarks. Together, growth and proficiency form the backbone of a comprehensive education strategy that supports all learners, ensuring that no student is left behind while also preparing all students to thrive in an increasingly competitive world.
Integrating both growth and proficiency in the classroom doesn’t require a complete overhaul of existing curricula. Rather, it’s about layering the two approaches in ways that complement each other and meet students where they are.
In the classroom, growth initiatives might focus on personalized learning paths that address specific areas of need for individual students. Teachers can use data to identify gaps in foundational skills and create targeted interventions that help students build mastery in these areas, enabling them to catch up to grade level.
Proficiency-focused strategies, in contrast, would ensure that students are practicing and mastering the content aligned with their state standards and curriculum. This might include providing students with targeted practice, assessments, and instructional support focused on these critical learning objectives.
When these two strategies are effectively integrated, the result is a curriculum that addresses both the individual needs of students and the collective requirements of the grade-level standards. It’s a balanced approach that supports all students, regardless of where they start, and ensures that they stay on track to meet the academic milestones they need to achieve.
Implementing both growth and proficiency initiatives can be time-consuming and complex, particularly when trying to meet the needs of diverse learners. This is where educational technology plays a transformative role.
With the right edtech tools, administrators and teachers can streamline and scale both growth and proficiency efforts. Educational technology platforms can automate diagnostic assessments, track student progress, and provide personalized learning pathways—reducing the burden on teachers and allowing them to focus on high-impact instruction.
Moreover, educational technology can offer students immediate feedback, individualized instruction, and targeted practice, helping them progress at their own pace while remaining aligned with grade-level standards. By integrating data-driven decision-making into daily practice, technology enables educators to quickly adapt to the needs of their students and adjust their teaching strategies in real time.
When educational technology platforms bring both growth and proficiency tools together in one system, the benefits are even greater. Here’s why:
Incorporating both growth and proficiency-focused strategies into your school’s curriculum is essential for supporting every student’s academic journey. By leveraging educational technology to integrate both approaches, administrators and educators can provide personalized, efficient, and effective solutions that meet the diverse needs of today’s learners. Combining these strategies on a single platform not only streamlines efforts but also ensures that teachers have the tools they need to help students make meaningful progress and reach their full potential.
As schools continue to embrace technology, Edmentum is leading the charge to ensure schools have the solutions they need to track and drive growth and proficiency together, creating equitable, efficient, data-driven educational environments that set all students up for success.
Exact Path, our growth acceleration solution delivers diagnostic-driven personalized learning across grades K-12, while Exact Path Standards Mastery, our standards proficiency solution on the same platform, delivers core subject formative assessment and state test readiness. When combined, these two solutions create a powerful growth and proficiency engine allowing educators to deliver proven, data-driven tiered instruction and drive student success systemwide.
Recently, we’ve connected with a number of educators and literacy experts to ask for their insights on schoolwide strategies, classroom instruction, and ideas to make reading fun.
In this piece, we’re sharing a Q&A with Jessica Jones White, Middle School Assistant Principal at Inspired Teaching Demonstration School in Washington, D.C. She is also an education consultant for The Creation Gym.
Jessica has been in the field of education for over a decade, servicing children in grades PreK-12 as an educator and athletic coach. Her teaching skills include project-based learning, arts integration, 21st century skill development, digital and blended learning curricula, and educational technology. Jessica is also a Licensed Graduate Professional Counselor.
Additionally, Jessica demonstrates her commitment to literacy as a member of Reading Is Fundamental’s Middle School Literacy Advisory Board. In this work, she focuses on removing barriers to reading by making books and resources easy to access. She collaborates on work that prioritizes evidence-based strategies, such as close reading protocols and text-based discussions, to promote comprehension and analytical thinking.
We discussed school leaders’ role in building a culture of reading success, how to support teachers’ effectiveness with reading instruction, and how literacy skills connect to the development of other 21st century success skills. Read the Q&A below:
Jessica Jones White: A successful schoolwide culture of reading involves students who are excited to engage with texts because they know they’re about to embark on a journey or gain new knowledge. It’s students recognizing that the information they seek in life often comes through reading—whether for pleasure or research. They understand that one of the easiest ways to access knowledge, without needing firsthand experience, is by reading what others have already learned.
For my students, I strive to build a culture where they see that the answers to their questions are obtainable through exploration or through reading—because research requires reading. I capitalize on this generation’s natural inclination for information-sharing. They want to read posts, articles, and news updates. I help them make the connection between consuming small bits of information, like a caption under a story, and reading lengthier texts for deeper learning.
We create an environment where classrooms and common areas display a diverse variety of high interest texts, and students have regular opportunities for independent and collaborative reading. We also teach students how to gain access to digital texts and graphic novels. Reading is integrated into meaningful tasks such as inquiry projects or book discussions, which improves both motivation and comprehension outcomes.
But it doesn’t stop there. I encourage students to take the next step: how do they share something with others through writing once they’ve read and learned something new?
JJW: School leadership can build a reading culture by engaging students with culturally relevant texts and ensuring that classroom and school libraries include texts that reflect students' identities and lived experiences. A love for reading often begins with the joy of learning something new or experiencing a powerful journey through fiction, realistic fiction, or memoirs. Leaders can help curate these experiences so students understand the power of reading and develop a passion for it. Leadership can promote schoolwide literacy events, such as reading challenges or guest author visits, which normalize and celebrate reading.
Another key strategy is fostering a growth mindset and a schoolwide culture of high academic achievement. When students are driven by curiosity and a desire to know more, they naturally turn to reading as a tool for exploration.
Finally, leaders must make reading accessible. This means providing books and resources at all reading levels and promoting them actively. Incorporating engaging tech—like book trailers that preview books the way movie trailers do—can spark interest. Requiring meaningful reading activities in classrooms and across the school further reinforces this culture.
JJW: Effective reading instruction comes from effective training. Teachers need a strong understanding of the science of reading—how students acquire the ability to decode words, use context clues, and ultimately comprehend texts. Without this foundation, it becomes difficult to help students succeed, which can lead to frustration for both teachers and students. In practice, this means providing teachers with strategies to scaffold complex texts, promote close reading, and teach vocabulary in context.
I focus on equipping teachers with strategies to support students in building phonemic awareness, discovering context clues, developing vocabulary, and using tools like dictionaries or Google searches to find word meanings. When teachers feel confident in their instruction, students are more likely to experience success and remain motivated to engage with texts. It also involves helping teachers leverage formative assessments to differentiate reading instruction, ensuring all students can access grade-level content. Providing teachers with collaborative planning time is equally important—it allows them to share best practices, co-create reading interventions, and align instruction.
JJW: In today’s digital world, literacy is essential for accessing and interacting with almost everything—from signing up for platforms to reading social media posts. Students already have a natural desire to engage with digital content, and we can use that interest to boost their literacy skills.
By guiding students to interact with various digital platforms for research, collaboration, and learning, we help them develop critical 21st century skills. This could include having students type essays instead of handwriting them, creating digital presentations on platforms like Canva, or learning basic coding through sites like Code.org.
Beyond technical skills, literacy also connects to students’ ability to be positive, ethical digital citizens. It’s important that they learn to extend their real-world integrity to the online world—interacting respectfully and responsibly. Strong reading comprehension skills are directly linked to students’ ability to evaluate online information for credibility—a key component of digital citizenship.
JJW: One of my areas of educational expertise is edtech, and I’m a strong advocate for using digital resources in the classroom. Digital curricula are highly engaging for today’s students and prepare them for the demands of college and future careers. One key benefit is the ability to personalize instruction.
Given the direction of society, it would be a disservice not to expose students to digital tools. Learning how to navigate and manipulate different programs is essential for their future success. I believe in creating well-rounded students who can effectively use digital resources to propel their academic and personal growth.
JJW: To strengthen motivation and engagement, you have to understand what drives each student. Every student is fueled by different goals—some by a desire to improve society, others by aspirations for financial security and breaking generational cycles, and some by creative or artistic passions. Students are more motivated when they feel a sense of choice and relevance.
Once you know what motivates a student, you can connect their interests to classroom experiences. This makes learning feel relevant and meaningful. For older students, helping them recognize how education enables them to influence society can also be a powerful motivator. The more students learn—culturally and academically—the more equipped they are to make a meaningful impact. When students apply their reading to real-world contexts—such as creating podcasts, designing infographics, or writing persuasive letters—they find greater meaning in their literacy experiences.
Ultimately, the best strategy is knowing your students: their interests, passions, and goals. From there, you can create opportunities that show them how education connects to their dreams and empowers them to shape their future.
We thank Jessica for sharing her insights. Are you an administrator or teacher interested in sharing your story or successful strategies for school leadership, literacy, math, career-connected learning, or other critical topics for today’s K-12 professionals? Send us your ideas at communications@edmentum.com
]]>
Coherence within and across instructional materials is essential to ensuring that students understand their learning as an interconnected web of ideas, rather than isolated skills practiced in silos. In all subject areas, students benefit when lessons and activities build connections between key concepts, helping them recognize overarching patterns, big ideas, and relationships across topics within the same grade level.
Here's an example: a well-structured curriculum ensures that students learn fractions not as an isolated skill, but as a clear extension of their understanding of whole numbers, division, and proportional reasoning. In fourth grade, when students learn how to add fractions with unlike denominators, the instruction should be explicitly connected to their prior experience with equivalent fractions and least common multiples.
When students can link new learning to prior knowledge and see how different concepts work together, they develop a deeper understanding and improve their ability to transfer knowledge to new contexts (National Research Council, 2001). Coherent instruction supports cognitive development by reducing cognitive overload, allowing students to focus on critical thinking rather than constantly learning new, disconnected procedures (Archer & Hughes, 2011).
Edmentum’s Exact Path Learning in Math is intentionally designed to foster these connections from kindergarten through 12th grade:
In elementary grades, instruction is designed to consistently reinforce early number sense, place value understanding, and operations fluency across topics. For example, when students work on addition and subtraction within 100, they also encounter opportunities to apply these operations when solving problems related to measurement, data interpretation, and even introductory geometry. This cross-domain reinforcement helps students recognize addition and subtraction as flexible tools that apply across mathematical contexts, rather than isolated procedures used only in number-focused lessons.
Moving into middle school, proportional reasoning is not taught as a standalone skill; it is embedded across units on ratios, percentages, and linear relationships, reinforcing a consistent multiplicative reasoning thread across the grade. This approach helps students see proportionality as a fundamental mathematical structure that applies to diverse problems, from scaling recipes to analyzing unit rates in science experiments.
This emphasis on coherence not only supports mastery of individual skills but also helps students develop the mathematical reasoning and problem-solving mindsets they need to confidently approach new and increasingly complex material. When students don’t just memorize slope formulas, but understand that slope represents a rate of change, they are applying and reinforcing connections they've seen before when calculating speed, comparing prices per unit, or analyzing data patterns.
When students experience instruction that consistently links concepts, applies familiar strategies to new situations, and highlights underlying patterns, they begin to internalize a flexible and adaptable approach to mathematics. Whether they are transitioning from whole numbers to fractions, from arithmetic to algebra, or from numerical expressions to modeling real-world situations, students benefit when they can draw upon a well-connected network of prior knowledge and strategies, rather than treating each new topic as unrelated.
References:
Archer, A. L., & Hughes, C. A. (2011). Explicit instruction: Effective and efficient teaching. Guilford Press.
National Research Council. (2001). How people learn: Brain, mind, experience, and school (Expanded ed.). National Academy Press.
About the author
Stephanie Gold brings over two decades of experience in educational leadership, curriculum development, and digital learning to her role as a Learning Designer at Edmentum. With a deep-seated passion for transforming education through technology, Stephanie has held pivotal roles in STEM education, course design, and school leadership, notably influencing digital curriculum development across various educational settings.
With a Master of Arts in Science Education from New York University and now pursuing a Master's program in Learning Design and Technology, Stephanie is adept at integrating pedagogical expertise with technological acumen to craft educational experiences that resonate with both students and educators. Her journey through the educational landscape includes leadership positions in Independent Schools, Online Schools, and the development of Professional Learning Platforms.
Poetry—some love it and some are intimidated by it. More and more, states are including an increased emphasis on poetry in their standards updates. Poetry is a valuable teaching tool for students of all ages because it can reinforce early reading skills for elementary school students and it encourages critical thinking skills in older students.
From the cradle, poetry is part of the life of children. Parents, loved ones, and caregivers sing songs and recite nursery rhymes to babies. They are a form of poetry. Those nursery rhymes and songs help build a foundation for future phonological awareness and phonics skills reinforcing a child’s understanding of sounds and rhyming.
Using poetry in elementary classrooms can help teachers continue to support students as they master phonological awareness, phonics, and fluency. Here are ways elementary school teachers can incorporate poetry into their instruction to support reading foundation skills:
By the time students reach middle and high school, poetry instruction is often greeted with a groan by both teachers and students. We all remember having to read poetry that uses difficult, archaic language and deciphering each word. But it doesn’t have to be so unpleasant for students. Using creative poetry activities increases engagement and students will benefit by practicing critical thinking skills, expanding vocabulary, improving reading fluency, finding an avenue for self-expression, and purposeful communication. Here are some ways to bring fun to teaching poetry and analysis skills in middle and high school classrooms:
While poetry is a valuable instructional tool for teaching foundational reading skills like phonological awareness and phonics to more advanced skills like analysis and critical thinking, it can be engaging too. Members of Edmentum’s product team (all former teachers) compiled this list of poetry activities and we hope that your students enjoy these activities as much as our team did. Do you have any other poetry activities you use in your classroom? Or are there other engaging poets your students enjoy reading?
For more of our top resources to help you support a strong, evidence-based foundation for literacy aligned with the Science of Reading, visit Edmentum's Science of Reading Toolkit.
About the author
Elizabeth Tricquet has over two decades of experience in education. In her current role as Lead Learning Designer at Edmentum, Elizabeth is passionate about developing effective, high-quality resources for students and teachers.
Elizabeth has worked at Edmentum since 2016 in a variety of positions including Content Designer, Assessment Specialist, and Learning Designer. She has worked on a variety of products including Exact Path, Study Island, and Benchmark Assessments.
Prior to working at Edmentum, Elizabeth had nearly 10 years of experience in the classroom teaching grades 1, 3 and 4 with a focus on helping struggling readers and students with learning difficulties. While teaching, Elizabeth earned her National Board Certification for Early and Middle Grades Literacy. She then worked at the Florida Department of Education's Test Development Center as an ELA Content Specialist. During that time, Elizabeth worked on state-wide summative assessments.
]]>
Numeracy is more than just learning how to count or perform calculations—it’s about using mathematics to make sense of the world. Like literacy, numeracy is essential for daily life, helping individuals reason mathematically, solve problems, and make informed decisions. However, there isn’t a single, universally agreed-upon definition of numeracy. Some experts describe it as the ability to use mathematics in everyday situations (also called quantitative or mathematical literacy), while others emphasize higher-order problem-solving and reasoning skills. In either case, numeracy is about using mathematics to make sense of the world and applying mathematics in a context for a social purpose.
As society becomes increasingly digitized, the ability to interpret and use mathematical information is more important than ever. From managing finances and evaluating data to understanding scientific and societal issues, numeracy is a critical skill for engaged and informed citizens. But how can schools and teachers effectively support numeracy development in younger grades?
The terms “numeracy” and “mathematical literacy” are used interchangeably in many places. In both cases, the emphasis is an individual’s capacity to reason mathematically and to formulate, employ, and interpret mathematics to solve problems in a variety of real-world contexts. In order to do this, learners need to develop concepts, procedures, facts, and tools to describe, explain, and predict phenomena. Numeracy is an essential component in helping individuals know the role that mathematics plays in the world and make the well-founded judgments and decisions needed by constructive, engaged and reflective 21st century citizens. (OECD, 2020)
Before students can effectively apply mathematics to real-world situations, they need a strong foundation in basic mathematical concepts. Early numeracy skills, such as number recognition, counting, understanding place value, and mastering basic operations (addition, subtraction, multiplication, and division), serve as the building blocks for more advanced problem-solving and reasoning. Students need a range of mathematical knowledge, skills, understandings and dispositions to solve problems in real contexts across personal, further learning, work, and community settings. Fluency in these foundational skills allows students to approach mathematical challenges with confidence, recognize patterns, and make connections between concepts. Without this solid groundwork, higher-order skills like critical thinking, estimation, and quantitative reasoning become difficult to develop. Just as learning to read begins with phonics and letter recognition, mathematical literacy starts with these essential early math experiences.
To foster numeracy, students need opportunities to develop and apply mathematical understanding in meaningful ways. This requires moving beyond isolated skill practice and creating engaging, hands-on experiences that connect math to real-world contexts. By incorporating effective instructional strategies, educators can help students build confidence, deepen their understanding, and develop the critical thinking skills essential for strong numeracy.
Numeracy is the ability to use mathematical understanding to make sense of the world, solve real-life problems, and make informed decisions. Building strong foundational skills, connecting math to real-world contexts, and using engaging, differentiated instruction are key strategies for developing mathematical literacy in students.
References:
OECD. (2020). PISA 2022 mathematics framework. OECD Publishing. https://pisa2022-maths.oecd.org/
About the author
Stephanie Gold brings over two decades of experience in educational leadership, curriculum development, and digital learning to her role as a Learning Designer at Edmentum. With a deep-seated passion for transforming education through technology, Stephanie has held pivotal roles in STEM education, course design, and school leadership, notably influencing digital curriculum development across various educational settings.
With a Master of Arts in Science Education from New York University and now pursuing a Master's program in Instructional Design and Technology, Stephanie is adept at integrating pedagogical expertise with technological acumen to craft educational experiences that resonate with both students and educators. Her journey through the educational landscape includes leadership positions in Independent Schools, Online Schools, and the development of Professional Learning Platforms.
]]>