Spatial skills can predict mathematics performance, with many researchers investigating how and why these skills are related. However, a literature review on spatial ability revealed a multiplicity of spatial taxonomies and analytical frameworks that lack convergence, presenting a confusing terrain for researchers to navigate. We expose two…

With feedback gathered from townhall meetings at the start of 2025, Kentucky's education leaders are revising the state's assessment and accountability framework to give districts more choice in how they assess student mastery of content and skills and to give their communities full rein to design local school accountability systems tied to their…

Students who struggle to complete an assignment may rely on self-regulatory strategies such as rereading class notes or learning from worked-out examples from textbooks to handle tasks beyond their capability. Learners may also reach out to teachers or peers for assistance. In the past, seeking help from other individuals has been viewed as a…

The National Assessment of Educational Progress (NAEP) is an integral measure of academic progress across the nation and over time. It is the largest nationally representative and continuing assessment of what our nation's students know and can do in various subjects, such as civics, mathematics, reading, and U.S. history. The program also…

In this article, the authors focus on five instructional approaches with a strong evidence base for the teaching and learning of math: (a) plan, model, and practice: systematic and explicit instruction; (b) focus on the language of math; (c) use multiple representations, including number lines; (d) build fluency; and (e) provide word problem…

The COVID-19 pandemic prompted schools to transition to remote instruction during the latter half of the 2019-20 school year and continuing into the 2020-21 school year. National Assessment of Educational Progress (NAEP) data trends indicate that there were statistically significant declines in students' mathematics and reading scores between 2020…

This article provides teachers with a toolkit for assessing students in the context of data-based individualization (DBI) in mathematics. Assessing students is a critical component of DBI because it provides teachers with information about what they may need to modify in their instructional programs. In this article, we provide teachers with…

Evidence shows that to improve student persistence in mathematics, we must change our course design to encourage students to have a growth mindset. By using standards-based grading, students earn grades based on their actual learning, so they are motivated to persist with difficult topics until they achieve understanding. Mastery-based testing has…

Even before the pandemic slowed learning for many, only 39 percent of California students demonstrated proficiency on the state math assessment. During the pandemic, the proportion of math-proficient students fell to one-third. At the same time, the STEM workforce faces shortages and a lack of diversity, which call into question the longstanding…

In 2024, the National Center for Education Statistics (NCES) administered the National Assessment of Educational Progress (NAEP) mathematics assessment to representative samples of fourth- and eighth-grade students in the nation, states, the District of Columbia, Puerto Rico, Department of Defense schools, and 26 participating large urban…

In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.

The field of mathematics education has engaged in perennial debate about whether transmission-oriented or constructivist approaches to teaching will best help students learn. Yet, both fluency, learned through step-by-step procedural instruction, and the mathematical flexibility that comes from constructivist methods play an important role in…

The teaching of fractions is often identified as the point in primary school instruction when the "wheels tend to fall off". While there could be many reasons for this, the overuse of one 'preferred' resource at the expense of a range of representations will often create gaps in understanding at best, and misconceptions at its worst. In…

Research and practice are increasingly examining the role students' mathematical sense of belonging plays in their mathematics achievement, participation, and persistence (Kebreab et al., 2023, Kebreab et al., 2024). As mathematics education leaders in national and regional non-profit organizations, the authors are especially interested in the…

This article addressed California's proposed math curriculum framework which has ignited a ferocious debate, touching off a revival of the 1990s math wars and attracting national media attention. Early drafts of the new framework faced a firestorm of criticism, with opponents charging that the guidelines sacrificed accelerated learning for high…