The increasingly complex and often contentious debate surrounding math reforms, encompassing diverse pedagogical approaches and curriculum designs, necessitates a focused and informed response from all stakeholders involved in shaping educational policy and guiding classroom instruction. This call to action comes from a comprehensive report released Tuesday by the Center on Reinventing Public Education (CRPE), which aims to serve as a crucial guide for policymakers, educators, and parents navigating this intricate landscape. The report’s objective is to equip these stakeholders with a nuanced understanding of the issue, enabling them to critically evaluate competing claims and make well-informed decisions about the most effective math education strategies for their respective school systems.
This surge in attention toward the "science of math" follows a period of intense public and professional discourse surrounding "science of reading" approaches in literacy instruction. The science of reading movement champions the explicit teaching of the connections between letters and sounds, emphasizing decoding skills and phonetic awareness. This stands in contrast to the "three-cueing" approach, which encourages students to utilize context, meaning, and visual cues to decipher unfamiliar words. The urgency for reform in both reading and mathematics instruction stems from a concerning trend of declining or stagnating student performance. Data from the 2024 National Assessment of Educational Progress (NAEP) revealed that both 4th and 8th-grade math scores in 2024 fell below pre-pandemic levels recorded in 2019, underscoring the critical need for effective instructional strategies.
However, unlike the relatively broad consensus that has emerged around science of reading methodologies, the "science of math" movement remains a subject of significant debate and lacks a unified agreement, as highlighted in CRPE’s 60-page report. Alexander Kurz, a senior fellow at CRPE and co-author of the report, explained that the core of the contention lies in the perceived dichotomy between conceptual understanding and procedural fluency. "There is a debate around conceptual understanding versus procedural fluency, so we pit one thing against the other, but the reality is a lot more complicated," Kurz stated. He further emphasized that a thorough comprehension of the "science of math" debate’s intricacies is essential to "sharpen the discussion and crystallize some of the next steps" for educators, policymakers, and other stakeholders.
Understanding the "Science of Math" Movement
At its core, the "science of math" movement advocates for a research-driven approach to mathematics instruction. Proponents argue that teaching methodologies and curricula should be informed by empirical research and cognitive science—a principle shared by researchers, advocacy organizations, and educators alike. In practical terms, this translates to classroom approaches that often feature explicit instruction, structured, teacher-led lessons, guided practice with mathematical problems, and timely, corrective feedback for students. It is crucial to note that this movement is not advocating for rote memorization of mathematical formulas or for students to spend the entirety of their class time passively listening to lectures.
Furthermore, the science of math movement emphasizes that a singular, universally effective, evidence-based practice does not exist for all students. Advocates assert that these research-informed approaches are particularly beneficial for students with disabilities and those who are struggling learners, providing them with more targeted and effective support.
Despite its aims, the science of math movement has encountered criticism from prominent mathematics organizations. These critics argue that the movement "misapplies research and promotes too narrow a vision of what teaching could be," according to CRPE’s report. A significant point of contention revolves around the unresolved consensus regarding what constitutes robust scientific evidence in mathematics education and whose professional expertise should ultimately guide decisions about instructional practices.
Navigating the Historical Context: The "Math Wars"
The contemporary "science of math" discourse is deeply embedded within the broader, long-standing "math wars" that have characterized educational debates for decades. These conflicts center on fundamental questions about what students should learn in mathematics and the most effective ways to teach the subject. The roots of these debates can be traced back to the early 20th century, when discussions revolved around whether foundational education should prioritize the teacher’s knowledge and experience within a formal curriculum, or if the starting point should be the individual needs, interests, and abilities of the students themselves.
Historically, the "math wars" have been characterized by two primary factions: traditionalists and reformers. Traditionalists, for instance, have often favored an emphasis on procedural fluency—the ability to execute mathematical procedures accurately and efficiently—over conceptual understanding—the deep comprehension of mathematical principles. They tend to prefer explicit instruction, where teachers directly present information and skills, over discovery learning, where students are encouraged to explore and derive mathematical concepts independently. Conversely, reformers typically prioritize conceptual understanding over rote procedural drills and advocate for inquiry-based learning, where students engage in problem-solving and exploration, over direct instruction.
However, as Alexander Kurz’s research indicates, the current iteration of the math wars, particularly concerning the science of math, presents a more complex scenario. The research itself offers competing recommendations on effective instructional approaches, creating a challenging environment for educators. Kurz pointed out the difficulty faced by teachers: "And, he said, it’s not fair to ask teachers to reconcile those differences." This leads to a fundamental question of authority and evidence: "Who gets to decide on the evidence is now a new question," Kurz observed.
Despite these deep-seated disagreements, there are areas of common ground between traditionalists and reformers. Both factions generally agree that students require both fluency and understanding to succeed in mathematics. They also acknowledge that learners’ needs are diverse and that teachers necessitate dedicated professional development and robust support systems to effectively implement any instructional approach.
Current State of Math Instruction and Policy
In response to the ongoing debates and the urgent need for improved student outcomes, states across the nation are actively refining their approaches to math instruction. There is a discernible trend towards more structured and intervention-focused methodologies, though the specific implementation varies considerably in terms of scope, intensity, and emphasis across different states.
CRPE’s research reveals that as of late 2025, a significant number of states have enacted new math policies since 2022. Specifically, 18 states and the District of Columbia have introduced legislative or policy changes. States such as Alabama, Maryland, Iowa, Kentucky, Mississippi, and Oklahoma have adopted broad, multi-component packages that incorporate several key themes associated with the science of math movement. These comprehensive reforms often include elements of explicit instruction, evidence-based practices, and a focus on foundational skills.
Beyond these broad packages, several states are implementing more targeted reforms. For instance, Florida and Kentucky have prioritized the identification and support for students experiencing math difficulties, including those with diagnosed dyscalculia, a specific learning disability that affects a person’s ability to understand numbers and math. In parallel, Texas and New Mexico are pursuing policies aimed at expanding access to advanced mathematics courses, ensuring that more students have the opportunity to engage with challenging and enriching mathematical content.
In contrast, California’s recent update to its math framework appears to lean more towards a reform-oriented approach. This framework places a significant emphasis on discovery learning, collaborative group work, and sociocultural responsiveness, while concurrently de-emphasizing memorization and direct instruction. This divergence highlights the ongoing ideological differences within the broader math education community.
Implications and the Path Forward
As the "math wars" and the specific debates surrounding the "science of math" continue to intensify, Alexander Kurz offers a cautionary note. He warns of the potential for a "forever math war" if the current polarization of instructional approaches persists. Kurz stresses the critical need for more robust quantitative and qualitative research into various math instructional methodologies. Equally important, he emphasizes, is a deeper understanding and exploration of the common ground that exists between different pedagogical philosophies.
"If you want to issue broad guidance about how to teach math to an entire state or entire nation, you better have more than just anecdotes," Kurz asserted, advocating for evidence-based decision-making. He further elaborated on the inadequacy of simply acknowledging the validity of multiple perspectives: "’It is not sufficient to say, ‘Well, both sides matter.’ This doesn’t tell teachers what exactly to do Monday morning,’ he stated. ‘That’s where we need to take a stance.’" This call for a more definitive stance, grounded in rigorous research and a clear understanding of student needs, is crucial for moving forward and ensuring that all students receive high-quality mathematics education. The report from CRPE serves as a vital resource for initiating these critical conversations and fostering the informed decision-making necessary to improve mathematics instruction for the benefit of all learners.
