Tag: math

  • Teachers who use math vocabulary help students do better in math

    Teachers who use math vocabulary help students do better in math

    by Jill Barshay, The Hechinger Report
    January 5, 2026

    Students, parents and school principals all instinctively know that some teachers are better than others. Education researchers have spent decades trying — with mixed success — to calculate exactly how much better.

    What remains far more elusive is why.

    A new study suggests that one surprisingly simple difference between stronger and weaker math teachers may be how often they use mathematical vocabulary, words such as “factors,” “denominators” and “multiples,” in class.

    Related: Our free weekly newsletter alerts you to what research says about schools and classrooms.

    Teachers who used more math vocabulary had students who scored higher on math tests, according to a team of data scientists and education researchers from Harvard University, Stanford University and the University of Maryland. The size of the test score boost was substantial. It amounted to about half of the benefit researchers typically attribute to having a highly effective teacher, which is among the most important school-based factors that help children learn. Students with highly effective teachers can end up months ahead of their peers. 

    “If you’re looking for a good math teacher, you’re probably looking for somebody who’s exposing their students to more mathematical vocabulary,” said Harvard data scientist Zachary Himmelsbach, lead author of the study, which was published online in November 2025.

    The finding aligns with a growing body of research suggesting that language plays a critical role in math learning. A 2021 meta-analysis of 40 studies found that students with stronger math vocabularies tend to perform better in math, particularly on multi-step, complex problems. Understanding what a “radius” is, for example, can make it more efficient to talk about perimeter and area and understand geometric concepts. Some math curricula explicitly teach vocabulary and include glossaries to reinforce these terms.

    Related: Three reasons why so few eighth graders in the poorest schools take algebra

    But vocabulary alone is unlikely to be a magic ingredient.

    “If a teacher just stood in front of the classroom and recited lists of mathematical vocabulary terms, nobody’s learning anything,” said Himmelsbach. 

    Instead, Himmelsbach suspects that vocabulary is part of a broader constellation of effective teaching practices. Teachers who use more math terms may also be providing clearer explanations, walking students through lots of examples step-by-step, and offering engaging puzzles. These teachers might also have a stronger conceptual understanding of math themselves.

    It’s hard to isolate what exactly is driving the students’ math learning and what role vocabulary, in and of itself, is playing, Himmelsbach said.

    Himmelsbach and his research team analyzed transcripts from more than 1,600 fourth- and fifth-grade math lessons in four school districts recorded for research purposes about 15 years ago. They counted how often teachers used more than 200 common math terms drawn from elementary math curriculum glossaries.

    The average teacher used 140 math-related words per lesson. But there was wide variation. The top quarter of the teachers used at least 28 more math terms per lesson than the quarter of the teachers who spoke the fewest math words. Over the course of a school year, that difference amounted to roughly 4,480 additional math terms, meaning that some students were exposed to far richer mathematical language than others, depending on which teacher they happened to have that year.

    The study linked these differences to student achievement. One hundred teachers were recorded over three years, and in the third year, students were randomly assigned to classrooms. That random assignment allowed the researchers to rule out the possibility that higher performing students were simply being clustered with stronger teachers.

    Related: A theory for learning numbers without counting gains popularity

    The lessons came from districts serving mostly low-income students. About two-thirds of students qualified for free or reduced-price lunch, more than 40 percent were Black, and nearly a quarter were Hispanic — the very populations that tend to struggle the most in math and stand to gain the most from effective instruction.

    Interestingly, student use of math vocabulary did not appear to matter as much as teacher use. Although the researchers also tracked how often students used math terms in class, they found no clear link between teachers who used more vocabulary and students who spoke more math words themselves. Exposure and comprehension, rather than verbal facility, may be enough to support stronger math performance.

    The researchers also looked for clues as to why some teachers used more math vocabulary than others. Years of teaching experience made no difference. Nor did the number of math or math pedagogy courses teachers had taken in college. Teachers with stronger mathematical knowledge did tend to use more math terms, but the relationship was modest.

    Himmelsbach suspects that personal beliefs play an important role. Some teachers, he said, worry that formal math language will confuse students and instead favor more familiar phrasing, such as “put together” instead of addition, or “take away” instead of subtraction. While those colloquial expressions can be helpful, students ultimately need to understand how they correspond to formal mathematical concepts, Himmelsbach said.

    This study is part of a new wave of education research that uses machine learning and natural language processing — computer techniques that analyze large volumes of text — to peer inside the classroom, which has long remained a black box. With enough recorded lessons, researchers hope not only to identify which teaching practices matter most, but also provide teachers with concrete, data-driven feedback.

    Related: A little parent math talk with kids might really add up

    The researchers did not examine whether teachers used math terms correctly, but they noted that future models could be trained to do just that, offering feedback on accuracy and context, not just frequency.

    For now, the takeaway is more modest but still meaningful: Students appear to learn more math when their teachers speak the language of math more often.  

    Contact staff writer Jill Barshay at 212-678-3595, jillbarshay.35 on Signal, or [email protected].

    This story about math vocabulary was produced by The Hechinger Report, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for Proof Points and other Hechinger newsletters.

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  • Why new math problems won’t solve our nation’s math problem

    Why new math problems won’t solve our nation’s math problem

    eSchool News is counting down the 10 most-read stories of 2025. Story #4 focuses on making math instruction more relevant to students.

    Key points:

    How much longer will we keep trying to solve our nation’s dismal math proficiency problem by writing new math problems? Clearly, if that was the answer, it would have worked by now–but it hasn’t, as evidenced by decades of low proficiencies, historic declines post-COVID, and the widest outcome gaps in the world.

    The real question students are asking is, “When am I ever going to use this?” As a former math teacher, I learned that addressing this question head-on made all the difference. Students’ success in math wasn’t found in a book–it was found in how math applied to them, in its relevance to their future career plans. When math concepts were connected to real-world scenarios, they transformed from distant and abstract ideas into meaningful, tangible skills.

    My first-hand experience proved the premise of education innovator Dr. Bill Daggett’s “rigor-relevance-relationship” framework. If students know what they’re learning has real-life implications, meaning and purpose will ensure that they become more motivated and actively engaged in their learning.

    Years later, I founded the nonprofit Pathway2Careers with a commitment to use education research to inform good policy and effective practice. From that foundation, we set out on a path to develop a first-of-its-kind approach to math instruction that led with relevance through career-connected learning (CCL).

    In our initial pilot study in 2021, students overwhelmingly responded positively to the curriculum. After using our career-connected math lessons, 100 percent of students reported increased interest in learning math this way. Additionally, they expressed heightened curiosity about various career pathways–a significant shift in engagement.

    In a more comprehensive survey of 537 students spanning grades 7–11 (with the majority in grades 8 and 9) in 2023, the results reinforced this transformation. Students reported a measurable increase in motivation, with:

    • 48 percent expressing “much more” or “slightly more” interest in learning math
    • 52 percent showing greater curiosity about how math skills are applied in careers
    • 55 percent indicating newfound interest in specific career fields
    • 60 percent wanting to explore different career options
    • 54 percent expressing a stronger desire to learn how other skills translate to careers

    Educators also noted significant benefits. Teachers using the curriculum regularly–daily or weekly–overwhelmingly rated it as effective. Specifically, 86 percent indicated it was “very effective” or “somewhat effective” in increasing student engagement, and 73 percent highlighted improved understanding of math’s relevance to career applications. Other reported benefits included students’ increased interest in pursuing higher education and gaining awareness of various postsecondary options like certificates, associate degrees, and bachelor’s degrees.

    Building on these promising indicators of engagement, we analyzed students’ growth in learning as measured by Quantile assessments administered at the start and end of the academic year. The results exceeded expectations:

    • In Pre-Algebra, students surpassed the national average gain by 101 Quantiles (141Q vs. 40Q)
    • Algebra I students achieved more than triple the expected gains (110Q vs. 35Q)
    • Geometry learners outpaced the average by 90 Quantiles (125Q vs. 35Q)
    • Algebra II showed the most significant growth, with students outperforming the norm by 168 Quantiles (198Q vs. 30Q)

    These outcomes are a testament to the power of relevance in education. By embedding math concepts within real-world career contexts, we transformed abstract concepts into meaningful, tangible skills. Students not only mastered math content at unprecedented levels but also began to see the subject as a critical tool for their futures.

    What we found astounded even us, though we shouldn’t have been surprised, based on decades of research that indicated what would happen. Once we answered the question of when students would use this, their mastery of the math content took on purpose and meaning. Contextualizing math is the path forward for math instruction across the country.

    And there’s no time to waste. As a recent Urban Institute study indicated, students’ math proficiencies were even more significant than reading in positively impacting their later earning power. If we can change students’ attitudes about math, not just their math problems, the economic benefits to students, families, communities, and states will be profound.

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  • This math platform leverages AI coaching to help students tackle tough concepts

    This math platform leverages AI coaching to help students tackle tough concepts

    eSchool News is counting down the 10 most-read stories of 2025. Story #5 focuses on a math platform that offers AI coaching for maximum impact.

    Math is a fundamental part of K-12 education, but students often face significant challenges in mastering increasingly challenging math concepts.

    Many students suffer from math anxiety, which can lead to a lack of confidence and motivation. Gaps in foundational knowledge, especially in early grades and exacerbated by continued pandemic-related learning loss, can make advanced topics more difficult to grasp later on. Some students may feel disengaged if the curriculum does not connect to their interests or learning styles.

    Teachers, on the other hand, face challenges in addressing diverse student needs within a single classroom. Differentiated instruction is essential, but time constraints, large class sizes, and varying skill levels make personalized learning difficult.

    To overcome these challenges, schools must emphasize early intervention, interactive teaching strategies, and the use of engaging digital tools.

    Last year in New York City Public Schools, Franklin Delano Roosevelt High School (FDR) teachers started using a real-time AI math coaching platform from Edia to give students instant access to math support.

    Edia aligns with Illustrative Mathematics’ IM Math, which New York City Public Schools adopted in 2024 as part of its “NYC Solves” initiative–a program aiming to help students develop the problem-solving, critical thinking, and math skills necessary for lifetime success. Because Edia has the same lessons and activities built into its system, learning concepts are reinforced for students.

    FDR started using Edia in September of 2024, first as a teacher-facing tool until all data protection measures were in place, and now as an instructional tool for students in the classroom and at home.

    The math platform’s AI coaching helps motivate students to persevere through tough-to-learn topics, particularly when they’re completing work at home.

    “I was looking for something to have a back-and-forth for students, so that when they need help, they’d be able to ask for it, at any time of the day,” said Salvatore Catalano, assistant principal of math and technology at FDR.

    On Edia’s platform, an AI coach reads students’ work and gives them personalized feedback based on their mistakes so they can think about their answers, try again, and master concepts.

    Some FDR classes use Edia several days a week for specific math supports, while others use it for homework assignments. As students work through assignments on the platform, they must answer all questions in a given problem set correctly before proceeding.

    Jeff Carney, a math teacher at FDR, primarily uses the Edia platform for homework assignments, and said it helps students with academic discovery.

    “With the shift toward more constructivist modes of teaching, we can build really strong conceptual knowledge, but students need time to build out procedural fluency,” he said. “That’s hard to do in one class session, and hard to do when students are on their own. Edia supports the constructivist model of discovery, which at times can be slower, but leads to deeper conceptual understanding–it lets us have that class time, and students can build up procedural fluency at home with Edia.”

    On Edia, teachers can see every question a student asks the AI coach as they try to complete a problem set.

    “It’s a nice interface–I can see if a student made multiple attempts on a problem and finally got the correct answer, but I also can see all the different questions they’re asking,” Carney said. “That gives me a better understanding of what they’re thinking as they try to solve the problem. It’s hugely helpful to see how they’re processing the information piece by piece and where their misconceptions might be.”

    As students ask questions, they also build independent research skills as they learn to identify where they struggle and, in turn, ask the AI coach the right questions to target areas where they need to improve.

    “We can’t have 30 kids saying, ‘I don’t get it’–there has to be a self-sufficient aspect to this, and I believe students can figure out what they’re trying to do,” Carney said.

    “I think having this platform as our main homework tool has allowed students to build up that self-efficacy more, which has been great–that’s been a huge help in enabling the constructivist model and building up those self-efficacy skills students need,” he added.

    Because FDR has a large ELL population, the platform’s language translation feature is particularly helpful.

    “We set up students with an Illustrative Math-aligned activity on Edia and let them engage with that AI coaching tool,” Carney said. “Kids who have just arrived or who are just learning their first English words can use their home languages, and that’s helpful.”

    Edia’s platform also serves as a self-reflection tool of sorts for students.

    “If you’re able to keep track of the questions you’re asking, you know for yourself where you need improvement. You only learn when you’re asking the good questions,” Catalano noted.

    The results? Sixty-five percent of students using Edia improved their scores on the state’s Regents exam in algebra, with some demonstrating as much as a 40-point increase, Catalano said, noting that while increased scores don’t necessarily mean students earned passing grades, they do demonstrate growth.

    “Of the students in a class using it regularly with fidelity, about 80 percent improved,” he said.

    For more spotlights on innovative edtech, visit eSN’s Profiles in Innovation hub.

    Laura Ascione
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  • 5 cheat sheets for parents of preschoolers

    5 cheat sheets for parents of preschoolers

    by Jackie Mader, The Hechinger Report
    November 27, 2025

    When my oldest child was a 2-year-old, we relocated to a new state and I found myself back at square one with my search for child care. In my new city, I now had a very good problem: There was an abundance of programs with availability, and I had a choice of where to enroll my son. As I toured a half-dozen of them, however, I worried that even as an early childhood reporter, I wasn’t asking the right questions or paying attention to the right thing. 

    A few months later, our early childhood team at Hechinger launched a project digging into the elements of a high-quality preschool. That article and the corresponding video became a quick and easy guide as I looked at options for my second child. It’s what I sent to friends who asked me for advice while navigating their own searches. 

    While I love telling stories from the field, my colleagues and I are also passionate about providing helpful tools and guides for teachers and caregivers. Here are a few of my favorite early ed “cheat sheets” from our decade of reporting on early childhood.

    1.  The five elements of a good preschool: What should you look for when you step inside a preschool classroom? What clues can you find on the walls or bookshelves? What questions should you ask teachers and school administrators? This video and article break it down. While classrooms and programs will vary by setting, many of these elements, like the way teachers talk to children and an emphasis on play, apply everywhere.

    2. Cracking down on unsafe sleep products: As an anxious new parent, nothing scared me more than hearing about infant deaths due to unsafe sleep products. Still, when desperate and exhausted, I tried several items that I heard would help my babies sleep, including some that the American Academy of Pediatrics later discouraged in updated safe sleep guidelines in 2022. While reporting this article, I was stunned by the lack of evidence and oversight of products that many parents like myself believe are tested before they are available to buy.

    3. How to boost math skills by talking about math with your kids: Most parents know how important it is to read to children. But did you know that there are easy ways caregivers can develop math skills? Earlier this year, my colleague Jill Barshay looked at a wave of research from the past dozen years on simple things adults can do to lay an early foundation in math. 

    4. How to answer tough questions about race and racism with your children: Research shows racial stereotypes start early, and that’s why it’s important to talk to young children about different races and read books and offer toys that have diverse characters. Many parents feel ill equipped for these conversations, however. In 2020, I asked three experts how they would respond to real questions from young kids about race and racism so adults feel better prepared for the questions that children inevitably ask.

    5. How parents can support their kids with play: With all the challenges of being a parent, it can be hard to hear there’s yet another thing we should be doing. But this 2023 conversation with researcher Charlotte Anne Wright helped me reframe the way I think about play and my role in it with my own children. While it’s important to give children opportunities for free play, Wright’s research shows “guided play,” or play with a learning goal in mind and light support from a parent, can have benefits for children, too. It’s not as heavy of a lift as it sounds, and Wright provides simple ways parents can engage in playful learning with their children on bus rides and trips to the laundromat.

    This story about preschoolers was produced by The Hechinger Report, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for the Hechinger newsletter.

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  • Why early STEAM education unlocks the future for all learners

    Why early STEAM education unlocks the future for all learners

    Key points:

    When we imagine the future of America’s workforce, we often picture engineers, coders, scientists, and innovators tackling the challenges of tomorrow. However, the truth is that a student’s future does not begin in a college classroom, or even in high school–it starts in the earliest years of a child’s education.

    Early exposure to science, technology, engineering, arts, and mathematics (STEAM) builds the foundation for critical thinking, collaboration, and creativity. Research indicates that children introduced to STEAM concepts before the age of eight are significantly more likely to pursue STEM-related fields later in life. Yet for too many children, especially neurodivergent learners and those in underserved communities, STEAM education comes too late or not at all. That gap represents a missed opportunity not only for those children, but also for the industries and communities that will rely on their talents in the future.

    The missed opportunity in early education

    In most school systems, STEAM instruction ramps up in middle school or high school, long after the formative years when children are naturally most curious and open to exploring. By waiting until later grades, we miss the chance to harness early curiosity, which is the spark that drives innovation.

    This late introduction disproportionately affects children with disabilities or learning differences. These learners often benefit from structured, hands-on exploration and thrive when provided with tools to connect abstract concepts to real-world applications. Without early access, they may struggle to build confidence or see themselves as capable contributors to fields like aerospace, technology, or engineering. If STEAM employers fail to cultivate neurodivergent learners, they miss out on theirunique problem-solving skills, specialized strengths, and diverse thinking that drives true innovation. Beyond shrinking the talent pipeline, this oversight risks stalling progress in fields like aerospace, energy, and technology while weakening their competitive edge.

    The result is a long-term underrepresentation of neurodivergent individuals in high-demand, high-paying fields. Without access to an early STEAM curriculum, both neurodivergent students and employers will miss opportunities for advancement.

    Why neurodivergent learners benefit most

    Neurodivergent learners, such as children with autism, ADHD, or dyslexia, often excel when lessons are tactile, visual, and inquiry-based. Early STEAM education naturally aligns with these learning styles. For example, building a simple bridge with blocks is more than play; it’s an exercise in engineering, problem-solving, and teamwork. Programming a toy robot introduces logic, sequencing, and cause-and-effect.

    These types of early STEAM experiences also support executive functioning, improve social-emotional development, and build persistence. These are crucial skills in STEM careers, where theories often fail, and continued experimentation is necessary. Additionally, building these skills helps children see themselves as creators and innovators rather than passive participants in their education.

    When neurodivergent children are given access to STEAM at an early age, they are not only better equipped academically but also more confident in their ability to belong in spaces that have traditionally excluded them.

    Houston as a case study

    Here in Houston, we recognize the importance of early STEAM education in shaping our collective future. As the world’s Energy Capital and a hub for aerospace innovation, Houston’s economy will continue to rely on the next generation of thinkers, builders and problem-solvers. That pipeline begins not in a university laboratory, but in preschool classrooms and afterschool programs.

    At Collaborative for Children, we’ve seen this firsthand through our Collab-Lab, a mobile classroom that brings hands-on STEAM experiences to underserved neighborhoods. In these spaces, children experiment with coding, explore engineering principles, and engage in collaborative problem-solving long before they reach middle school. For neurodivergent learners in particular, the Collab-Lab provides an environment where curiosity is encouraged, mistakes are celebrated as part of the learning process, and every child has the chance to succeed. Additionally, we are equipping the teachers in our 125 Centers of Excellence throughout the city in practical teaching modalities for neurodivergent learners. We are committed to creating equal opportunity for all students.

    Our approach demonstrates what is possible when early childhood education is viewed not just as childcare, but as workforce development. If we can prioritize early STEAM access in Houston, other cities across the country can also expand access for all students.

    A national priority

    To prepare America’s workforce for the challenges ahead, we must treat early STEAM education as a national priority. This requires policymakers, educators and industry leaders to collaborate in new and meaningful ways.

    Here are three critical steps we must take:

    1. Expand funding and resources for early STEAM curriculum. Every preschool and early elementary program should have access to inquiry-based materials that spark curiosity in young learners.
    2. Ensure inclusion of neurodivergent learners in program design. Curricula and classrooms must reflect diverse learning needs so that all children, regardless of ability, have the opportunity to engage fully.
    3. Forge stronger partnerships between early education and industry. Employers in aerospace, energy, and technology should see investment in early childhood STEAM as part of their long-term workforce strategy.

    The stakes are high. If we delay STEAM learning until later grades, we risk leaving behind countless children and narrowing the talent pipeline that will fuel our nation’s most critical industries. But if we act early, we unlock not just potential careers, but potential lives filled with confidence, creativity and contribution.

    Closing thoughts

    The innovators of tomorrow are sitting in preschool classrooms today. They are building with blocks, asking “why,” and imagining worlds we cannot yet see. Among them are children who are neurodivergent–who, with the proper support, may go on to design spacecrafts, engineer renewable energy solutions, or code the next groundbreaking technology.

    If we want a future that is diverse, inclusive, and innovative, the path is clear: We must start with STEAM education in the earliest years, for every child.

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  • Teaching math the way the brain learns changes everything

    Teaching math the way the brain learns changes everything

    Key points:

    Far too many students enter math class expecting to fail. For them, math isn’t just a subject–it’s a source of anxiety that chips away at their confidence and makes them question their abilities. A growing conversation around math phobia is bringing this crisis into focus. A recent article, for example, unpacked the damage caused by the belief that “I’m just not a math person” and argued that traditional math instruction often leaves even bright, capable students feeling defeated.

    When a single subject holds such sway over not just academic outcomes but a student’s sense of self and future potential, we can’t afford to treat this as business as usual. It’s not enough to explore why this is happening. We need to focus on how to fix it. And I believe the answer lies in rethinking how we teach math, aligning instruction with the way the brain actually learns.

    Context first, then content

    A key shortcoming of traditional math curriculum–and a major contributor to students’ fear of math–is the lack of meaningful context. Our brains rely on context to make sense of new information, yet math is often taught in isolation from how we naturally learn. The fix isn’t simply throwing in more “real-world” examples. What students truly need is context, and visual examples are one of the best ways to get there. When math concepts are presented visually, students can better grasp the structure of a problem and follow the logic behind each step, building deeper understanding and confidence along the way.

    In traditional math instruction, students are often taught a new concept by being shown a procedure and then practicing it repeatedly in hopes that understanding will eventually follow. But this approach is backward. Our brains don’t learn that way, especially when it comes to math. Students need context first. Without existing schemas to draw from, they struggle to make sense of new ideas. Providing context helps them build the mental frameworks necessary for real understanding.

    Why visual-first context matters

    Visual-first context gives students the tools they need to truly understand math. A curriculum built around visual-first exploration allows students to have an interactive experience–poking and prodding at a problem, testing ideas, observing patterns, and discovering solutions. From there, students develop procedures organically, leading to a deeper, more complete understanding. Using visual-first curriculum activates multiple parts of the brain, creating a deeper, lasting understanding. Shifting to a math curriculum that prioritizes introducing new concepts through a visual context makes math more approachable and accessible by aligning with how the brain naturally learns.

    To overcome “math phobia,” we also need to rethink the heavy emphasis on memorization in today’s math instruction. Too often, students can solve problems not because they understand the underlying concepts, but because they’ve memorized a set of steps. This approach limits growth and deeper learning. Memorization of the right answers does not lead to understanding, but understanding can lead to the right answers.

    Take, for example, a third grader learning their times tables. The third grader can memorize the answers to each square on the times table along with its coordinating multipliers, but that doesn’t mean they understand multiplication. If, instead, they grasp how multiplication works–what it means–they can figure out the times tables on their own. The reverse isn’t true. Without conceptual understanding, students are limited to recall, which puts them at a disadvantage when trying to build off previous knowledge.

    Learning from other subjects

    To design a math curriculum that aligns with how the brain naturally learns new information, we can take cues from how other subjects are taught. In English, for example, students don’t start by memorizing grammar rules in isolation–they’re first exposed to those rules within the context of stories. Imagine asking a student to take a grammar quiz before they’ve ever read a sentence–that would seem absurd. Yet in math, we often expect students to master procedures before they’ve had any meaningful exposure to the concepts behind them.

    Most other subjects are built around context. Students gain background knowledge before being expected to apply what they’ve learned. By giving students a story or a visual context for the mind to process–breaking it down and making connections–students can approach problems like a puzzle or game, instead of a dreaded exercise. Math can do the same. By adopting the contextual strategies used in other subjects, math instruction can become more intuitive and engaging, moving beyond the traditional textbook filled with equations.

    Math doesn’t have to be a source of fear–it can be a source of joy, curiosity, and confidence. But only if we design it the way the brain learns: with visuals first, understanding at the center, and every student in mind. By using approaches that provide visual-first context, students can engage with math in a way that mirrors how the brain naturally learns. This shift in learning makes math more approachable and accessible for all learners.

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  • UC San Diego Sees Students’ Math Skills Plummet

    UC San Diego Sees Students’ Math Skills Plummet

    Laser1987/iStock/Getty Images

    The number of first-year students at the University of California, San Diego, whose math skills fall below a middle school level has increased nearly 30-fold over the past five years, according to a new report from the university’s Senate–Administration Working Group on Admissions. In the 2025 fall cohort, one in eight students placed into math below a middle school level, despite having a solid math GPA.

    The number of first-year students in remedial math courses at the university surged to 390 in fall 2022, up from 32 students in fall 2020. The remedial math course was designed in 2016 and only addressed missing high school math knowledge, but instructors quickly realized that many of their students had knowledge gaps that went back to middle or elementary school, the report states. For fall 2024, UC San Diego revamped its remedial math course to address middle school math gaps and introduced an additional remedial course to cover high school math. In fall 2025, 921 students enrolled in one of these two courses—11.8 percent of the incoming class.

    “This deterioration coincided with the COVID-19 pandemic and its effects on education, the elimination of standardized testing, grade inflation, and the expansion of admissions from under-resourced high schools,” the report states. “The combination of these factors has produced an incoming class increasingly unprepared for the quantitative and analytical rigor expected at UC San Diego.”

    Within the UC system, the San Diego campus isn’t alone, but its problem is “significantly worse,” the report states. This is partly because the university has, since 2022, admitted and enrolled more students from low-income schools that saw greater COVID-era learning loss than other UC campuses. Many other UC campuses are seeing similar, though smaller, declines in student preparation. About half of UC campus math chairs responded to a survey saying that the “number of first-year students that are unable to start in college-level precalculus” increased twofold between fall 2020 and fall 2025, and the other half said the number increased threefold. 

    High school grade inflation is not helping the university evaluate students’ math skills, the report states. In 2024, the average high school math GPA for students in Math 2, the middle school–level remedial math course, was 3.65—an A-minus.

    “At the same time our admit pool is slipping in math preparation, we see a slight improvement in their math grades from high school,” the report states. “The elimination of standardized testing together with COVID resulted in a mismatch between students’ course level/grades and their actual levels of preparation, with far-reaching implications for determining math readiness and course placement.”

    The working group put forward a number of recommendations for addressing these shortcomings, including using a “math index” based on historical placement data and transcript-based variables to “predict students’ likelihood of placement into remedial math.” The group also recommended establishing feedback mechanisms with high schools and requiring math placement testing by June 1 for incoming students, among other things.

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  • A Teacher’s Take on Game-Based Learning – The 74

    A Teacher’s Take on Game-Based Learning – The 74


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    I see it every fall: A student suddenly needs to go to the bathroom mid-lesson. Another zones out completely, distracting nearby classmates during a lesson. Tears well up as a child struggles with a problem they just can’t get through.

    These are the telltale signs of math anxiety creeping back into my classroom, and it’s heartbreakingly common. Between 70% and 78% of students experience a decline in math skills over the summer across elementary grades. By the time they reach fifth grade, students can lag behind their peers by two to three years.

    That means students are missing out on crucial math skills that form the foundation for everything that comes later. As many teachers can attest, math remains one of the hardest subjects to teach because the basics aren’t always as black and white as they seem.

    I’ve had to look for new ways to break down those barriers and ease the pressure. That’s why I’ve leaned into game-based learning. It takes something stressful and makes it approachable. In teaching math, that makes all the difference.

    I first brought games into my math block because I wanted to try something different. A student suggested we review a concept with a math game he had used, and I decided to give it a shot.

    There are plenty of games: Math Reveal, Quizizz and Coolmath among them. In my class we use Prodigy, which allows students to play as wizards exploring different fantasy worlds. They progress through the game by engaging in math-based quests and battles, answering a series of math questions to power spells, cast attacks or heal their wizard. Behind the scenes, the platform analyzes each student’s strengths and gaps, then adjusts and tailors content to the appropriate learning level.

    The benefits were clear almost immediately, and the atmosphere in my classroom shifted. Kids who normally avoided eye contact were leaning in, laughing and actually asking to do math. It was a small change at first, but it began breaking down the anxiety that had been holding students back.

    Their anxiety turns into curiosity, and their avoidance shifts into active participation. Students knew they could make mistakes, try again and keep moving without the fear of failure they often carried into traditional lessons.

    Over time, I’ve learned that these games weren’t just fun. They were powerful teaching tools. Game-based learning platforms helped students review after new lessons and revisit older concepts to keep their skills sharp. As a result, when we moved on to fractions or multi-step problems, they weren’t burdened by forgotten fundamentals.

    Now, I incorporate game-based learning throughout my curriculum. I may introduce a new lesson with a quick round or have students partner up to practice and reinforce a concept. Before a test, I can assign relevant game modules that give students a low-stakes way to practice and prepare.

    I noticed students catching up quicker than in previous years. At the start of one school year, I had eight students who were pulled out of my class for extra math help. By the end of the year, only two needed the extra support.

    And let’s be honest: These tools have helped me, too. Teaching math can be overwhelming, especially with constant pressure to get every student up to speed and prepared for benchmark tests.

    Game-based learning became a comforting resource for me because it offers new ways to personalize lessons and celebrate small wins. As students play, I can track their learning in real time to see which skills they’ve mastered, where they’re struggling and how their performance is shifting over time. Students can move at their own pace now, and I can step into the role of guide rather than taskmaster.

    Like any classroom tool, game-based learning works best when you use it with intention. Over the years, I’ve learned some strategies that make it more than just “play time.”

    • Play along: When I first started using game-based learning platforms, I didn’t fully understand how each game worked or the way they built in rewards, challenges, and storylines that keep kids engaged.

      That changed when I created my own character and began playing alongside my students. Suddenly, when a student shouted, “I just beat the Puppet Master!” I knew exactly what that meant, and I could celebrate and learn with them.

      By experiencing the games myself, I learned how to implement them in the classroom. I could see firsthand how to weave them into lessons, when to use them for review versus pre-teaching, and how to keep the fun from becoming a distraction.

    • Assign with purpose: I don’t just let students log in and click around. I strategically tie games to the key concepts we’re learning that week or use them to revisit skills. For example, I might assign a short warm-up where they tackle problems from earlier in the year so they’re never losing touch with old material. Cyclical practice helps build long-term retention while lowering the stress of new concepts.
    • Differentiate lessons: One of the biggest wins with game-based learning is how easy it is to differentiate and personalize learning. In any classroom, I have students at wildly different levels: Some need extra review, others are ready to race ahead. With games, I can assign work that meets each child where they are.

      That flexibility saves me time, but more importantly, it saves students from unnecessary stress. They can master concepts step by step, and I can gently move them up without overwhelming them.

    When I first introduced game-based learning, I didn’t know what to expect. It felt like one more thing to manage. But I let students guide me, and the results spoke for themselves. They were more engaged, less anxious and more willing to try.

    For teachers who are unsure, my advice is simple: Give it a chance. Watch your students light up when math feels less like a hurdle and more like a game. For me, the greatest reward has been seeing kids who once dreaded math start to relax, build confidence and move from “I can’t do this” to “Can we play again?”

    Game-based learning isn’t about replacing rigor. It’s about sparking curiosity, reducing fear and creating the kind of engagement that fosters a genuine love of learning. Most of all, it reminds us — and our students — that math can, and should, be fun.


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  • Teachers unions leverage contracts to fight climate change

    Teachers unions leverage contracts to fight climate change

    This story first appeared in Hechinger’s climate and education newsletter. Sign up here

    In Illinois, the Chicago Teachers Union won a contract with the city’s schools to add solar panels on some buildings and clean energy career pathways for students, among other actions. In Minnesota, the Minneapolis Federation of Educators demanded that the district create a task force on environmental issues and provide free metro passes for students. And in California, the Los Angeles teachers union’s demands include electrifying the district’s bus fleet and providing electric vehicle charging stations at all schools. 

    Those are among the examples in a new report on how unionized teachers are pushing their school districts to take action on the climate crisis, which is damaging school buildings and disrupting learning. The report — produced by the nonprofit Building Power Resource Center, which supports local governments and leaders, and the Labor Network for Sustainability, a nonprofit that seeks to unite labor and climate groups — describes how educators can raise demands for climate action when they negotiate labor contracts with their districts. By emphasizing the financial case for switching to renewable energy, educators can simultaneously act on climate change, improve conditions in schools and save districts money, it says. 

    As federal support and financial incentives for climate action wither, this sort of local action is becoming more difficult — but also more urgent, advocates say. Chicago Public Schools has relied on funding for electric buses that has been sunsetted by the Trump administration, said Jackson Potter, vice president of the Chicago Teachers Union. But the district is also seeking other local and state funding and nonprofit support.

    Bradley Marianno, an associate professor in the College of Education at the University of Nevada, Las Vegas, said that educator unions embracing climate action is part of a move started about 15 years ago in which more progressive unions — like those in Chicago, Los Angeles and elsewhere — focus on “collective good bargaining,” or advocating for changes that are good for their members but also the broader community. But this approach is unlikely to catch on everywhere: “The risk lies in members feeling that core issues like wages and working conditions are being overlooked in favor of more global causes,” he wrote in an email. 

    I recently caught up with Potter, the CTU vice president, about the report and his union’s approach to bargaining for climate action. Collaborating with local environmental and community groups, the Chicago Teachers Union ultimately succeeded in winning a contract that calls for identifying schools for solar panels and electrification, expanding indoor air quality monitoring, helping educators integrate climate change into their curriculum, and establishing training for students in clean energy jobs, among other steps. 

    This interview has been edited for length and clarity. 

    The report talks about contract negotiations being an underused — and effective — lever for demanding climate action. Why do you see that process as such an opportunity for climate action?

    On the local level, our schools are 84, 83 years old on average. There is lead paint, lead pipes, mold, asbestos, PCBs, all kinds of contamination in the HVAC system and the walls that require upgrades. By our estimate, the district needs $30 billion worth of upgrades, and right now I think they spend $500 million a year to just do patch-up work. We’re at a point where it’s a system fail of epic proportions if we can’t figure out a way to transition and make things healthier. And so if you’re going to do a roof repair, put solar on it, have independence from fossil fuels, clean air in areas that have faced environmental racism and contamination. 

    We’re also dealing with a legacy of discrimination and harm, and that is true of the nation. So how do we get out of this and also save the planet and also prevent greater climate events that further destabilize vulnerable communities and put people at risk? It made sense for us to use our contract as a path to do both things — deal with this local crisis that was screaming for new solutions and ideas, in a moment when the climate is on fire, literally.  

    How challenging was it to get educators to view climate issues as a priority? There are so many other things, around pay and other issues, on the table. 

    When we started, it almost felt like people in the membership, in the community, viewed it as a niche issue. Like, ‘Oh, isn’t that cute, you care about green technology.’ As we figured out how to think about it and talk about it and probe where people were having issues in their schools, it became really obvious that when you started talking about asbestos, lead and mold remediation — and helping communities that have been hit the hardest with cumulative impacts and carcinogens and how those things are present in schools — that became much more tangible. Or even quality food and lunch and breakfast for students who are low-income. It went from bottom of the list to top of the list, instantaneously. 

    Your contract calls for a number of climate-related actions, including green pathways for students and agreements with building trade unions to create good jobs for students. Tell me about that. 

    We’re trying to use the transformation of our facilities as another opportunity for families and students in these communities that have been harmed the most to get the greatest benefit from the transformation. So if we can install solar, we want our students to be part of that project on the ground in their schools, gaining the skills and apprenticeship credentials to become the electricians of the future. And using that as a project labor agreement [which establishes the terms of work on a certain project] with the trades to open doors and opportunities. The same goes for all the other improvements — whether it’s heat pumps, HVAC systems, geothermal. And for EV — we have outdated auto shop programming that’s exclusively based on the combustible engine reliant on fossil fuels, whereas in [the nearby city of] Belvidere they are building electric cars per the United Auto Workers’ new contract. Could we gain a career path on electric vehicles that allows students to gain that mechanical knowledge and insight and prepares them for the vehicles of the future? 

    The report talks about the Batesville School District in Arkansas that was able to increase teacher salaries because of savings from solar. Have you tried to make the case for higher teacher salaries because of these climate steps?  

    The $500 million our district allocates for facility upgrades annually comes out of the general fund, so we haven’t at all thought about it in terms of salary. We’ve thought about it in terms of having a school nurse, social worker, mental health interventions at a moment when there is so much trauma. We see this as a win-win: The fewer dollars the district has to spend on facility needs means the more dollars they can spend on instructional and social-emotional needs for students. In terms of the Arkansas model, it’s pretty basic. If you get off the fossil fuel pipelines and electric lines and you become self-sufficient, essentially, powering your own electric and heat, there is going to be a boon, particularly if there are up-front subsidies. 

    Math and climate change 

    When temperatures rise in classrooms, students have more trouble concentrating and their learning suffers — in math, in particular. That’s according to a new report from NWEA, an education research and testing company.

    The report, part of a growing body of evidence of the harms of extreme heat on student performance, found that math scores declined when outdoor temperatures on test days rose above 80 degrees Fahrenheit. Students in high-poverty schools, which are less likely to have air conditioning, saw declines up to twice as large as those in wealthier schools. 

    The learning losses grew as temperatures rose. Students who took tests on 101-degree days scored roughly 0.06 standard deviations below students who tested when temperatures were 60 degrees, the equivalent of about 10 percent of the learning a fifth grader typically gains in a school year. 

    It’s not entirely clear why student math scores suffer more than reading when temperatures rise. But Sofia Postell, an NWEA research analyst, said that on math tests, students must problem-solve and rely on their memories, and that kind of thinking is particularly difficult when students are hot and tired. Anxiety could be a factor too, she wrote in an email: “Research has also shown that heat increases anxiety, and some students may experience more testing anxiety around math exams.”

    The study was based on data from roughly 3 million scores on NWEA’s signature MAP Growth test for third to eighth graders in six states. 

    The report urged school, district and state officials to take several steps to reduce the effects of high heat on student learning and testing. Ideally, tests would be scheduled during times of the year when it wasn’t so hot, it said, and also during mornings, when temperatures are cooler. Leaders also need to invest in updating HVAC systems to keep kids cool. 

    “Extreme heat has already detrimentally impacted student learning and these effects will only intensify without action,” wrote Postell. 

    Mea culpa: A quick note to say I got two things wrong in my last newsletter — the name of the Natural Resources Defense Council was incorrect, as was the number of hours of learning California students have missed so far this year. It’s more than 54,000. 

    Contact editor Caroline Preston at 212-870-8965, via Signal at CarolineP.83 or on email at [email protected].

    This story about teachers unions was produced by The Hechinger Report, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for the Hechinger newsletter on climate and education.

    The Hechinger Report provides in-depth, fact-based, unbiased reporting on education that is free to all readers. But that doesn’t mean it’s free to produce. Our work keeps educators and the public informed about pressing issues at schools and on campuses throughout the country. We tell the whole story, even when the details are inconvenient. Help us keep doing that.

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  • As temperatures rise, math performance drops

    As temperatures rise, math performance drops

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    Dive Brief:

    • Academic performance drops when temperatures rise, according to a study released Thursday by the NWEA. When test-day temperatures clocked over 80 degrees, students had lower math MAP Growth scores, the organization that administers the assessment found. 

    • Extreme heat affects high-poverty students especially. The NWEA study found that high heat negatively impacted math scores up to twice as much for students in high-poverty schools than for those from low-poverty schools.

    • The study recommends educators set testing schedules around weather conditions when possible, create better testing conditions by moving testing to cooler areas and testing during the morning, invest in updated HVAC infrastructure, and ensure that districts’ infrastructure planning takes into account high-poverty communities. 

    Dive Insight:

    In 2020, over half of the nation’s schools (54%) needed to update or replace multiple building systems or features in their schools, according to a report released by the Government Accountability Office. About 41% of public school districts needed to update or replace the HVAC systems in at least half of their schools, according to the report. 

    “If not addressed, such problems can lead to indoor air quality problems and mold, and in some cases caused schools to adjust schedules temporarily,” the GAO report found.

    At the same time, the school year is getting hotter.

    Heat waves impact schools “seemingly everywhere,” according to the Climate Action Campaign, including in Arizona, Georgia, Michigan and Wisconsin. In August, for example, schools in Portland, Oregon, closed early in anticipation of a heat wave, according to local reports.

    And by this year, about 2,671 additional school districts were expected to log 32 or more days of weather over 80 degrees —  the heat threshold where cooling systems are typically installed. That number of school districts is a 39% increase since 1970, according to a 2021 project by the Center for Climate Integrity

    Such climate changes impact academics, a finding confirmed by the NWEA study released Thursday. 

    It gathered data from nearly 3 million MAP Growth tests administered to students in grades 3-6 across six states between 2022 and 2024. The study found that on days hotter than 101 degrees, students’ math performance was about 0.06 standard deviations below students who tested in 60 degree weather. The difference is about 10% of a 5th grader’s learning during a school year.

    “Our findings show that as temperatures continue to rise, disparities in school facilities, such as having appropriate HVAC systems, can deepen existing inequities and make school infrastructure and building conditions significant issues of educational equity,” said Sofia Postell, research analyst at NWEA, in a Thursday statement.

    The findings expand on previous ones examining heat’s impacts on student achievement. 

    In 2020, a study published by the American Economic Association found that “heat directly disrupts learning time,” and that without air conditioning, a school year hotter by 1 degree reduces that year’s learning by 1%. The same study also found that hot school days disproportionately impact minority students, and even account for about 5% of the racial achievement gap.

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