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…

Many approaches have been taken to study gender (in)equities in mathematics education, including studies of students' achievement on standardized tests, participation in postgraduate degrees and careers, participation in the classroom, and students and teachers' mathematics identities. In this dissertation, I used Baxter (2003b)'s Feminist…

'Mathematical sophistication' behaviours are often exercised by mathematicians in their work. In this article, the importance of mathematical sophistication will be discussed and three mathematics problems that activate mathematical sophistication behaviours will be presented.

Mathematical representation includes the process of transforming problems or ideas into new forms, including changing pictures or physical models into symbols, words, or sentences that can facilitate students in solving mathematical problems. Pythagorean Theorem material is widely used in analytic geometry, so this material becomes important for…

This brief is part of a continuing series for California education leaders on key policy issues related to teachers and teaching. With California in the process of revising its K-12 math framework and with educators and students grappling with lost instructional time during the COVID-19 pandemic, now is an opportune moment to examine ways to…

The basic notions of combinatorics, including systematic listing and permutations, are important topics of mathematics that are recommended to be learned eventually from elementary schools. However, there is little research in mathematics education regarding elementary students' combinatorial strategies. The purpose of this research is to…

In this study, we focus on a specific visual representation that is used across several mathematics and science content areas: the 'partitioned square' (PS). Previous research has examined PSs in single content areas in isolation, such as for mathematics polynomials or biology random mating, where the PS was generally in the service of other…

In this paper, we explore how the typical second year undergraduate topic of matrix diagonalisation can be applied to solve a geometric problem which arises frequently in Vector Calculus: to find the curve of intersection of a plane and a surface. We use GeoGebra, which offers a cost-free and dynamic interface, to explore a specific variant of…

This study considered a preservice teacher's (PST's) attention to multilingual learner core practices within her approximations of practice of mathematics language routines during a secondary mathematics methods course. We used a framework of approximations of practice to understand how a PST enacted and developed an understanding of multilingual…

The most common challenges students face in solving first-order ordinary differential equations (ODEs) can be overcome by identifying the types of errors, understanding the factors that cause difficulties, and finding appropriate solutions. Therefore, this research aimed to adopt a descriptive qualitative approach, including nine sixth-semester…

The study reported in this paper is motivated by an article published on a financial portal that presented loan repayments with a continuous approach, as opposed to the discrete approach of addressing loan repayments applied in mathematics courses for economists. Using the Anthropological Theory of the Didactic, we analyse the current didactic…

Substantial research has explored the connection between children's spontaneous focusing on numerosity (SFON) and their current and later mathematical achievement. However, the findings have been inconsistent, and no comprehensive investigation has yet been conducted. This meta-analysis examines the relation between SFON and mathematics…

There are contentious and persistent gender differences reported in some measures of spatial skills, particularly mental rotation and, to a lesser extent, perspective-taking, which may have an impact on mathematics success. Furthermore, pathways between spatial skills and mathematics may be mediated by other cognitive factors, such as fluid…

Our work investigated how six primary school students used a non-traditional method for adding and subtracting: the ABN method, a Spanish acronym for Open (method) Based on Numbers. Commognitive theory [Sfard, A. 2008. "Thinking as Communicating: Human Development, the Growth of Discourses, and Mathematizing." New York: Cambridge…

For decades, calculus has towered over the high-school math landscape, its mastery viewed as the surest marker of high academic achievement. Yet in New England as across the nation, changes are underway: Statistics and data science courses are multiplying, and state leaders are re-engineering graduation rules so students can choose the pathway…