Math skills are critical for students' success in other subjects and later in life, yet far too many teacher prep programs fail to give aspiring teachers the essential knowledge they need to be effective math teachers--undermining student learning before the first lesson even begins. To develop great math teachers, teacher prep programs must…

This is the executive summary for "Teacher Prep Review: Solving for Math Success." It provides key findings from the full report and recommendations.

This paper examines the conceptions of 'number sense' as promoted in pre-service primary mathematics education courses at 11 South African Higher Education Institutions through the texts used by academics or prescribed for students. While all the participating institutions agree that the development of primary school learners' 'number sense' is…

Improving instruction in elementary mathematics is critical to supporting better academic and life outcomes for our students. While weak elementary math instruction is not a new challenge, the COVID-19 pandemic appears to have exacerbated the issue. Many states have reported that students have lost more learning in math than in reading over the…

Research reported in this article has been conducted from the theoretical perspective of the Anthropological Theory of the Didactic developed by Y. Chevallard and his collaborators, and from the institutional perspective of university mathematics education in France. It focuses on the teaching and learning of algebraic structures. The article…

We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the…

As developments in technology progress, their use in education in general and in mathematics teaching specifically increases. The aim of this study is to explore the potential of technology use in mathematics lessons in the schools by examining prior research on the use of technology in mathematics teaching. Within the scope of the study, a…

In this work, we study the mathematical practice of defining by mathematics researchers. Since research is an important part of many professional mathematicians, understanding how they do research is a necessary step before thinking about future researchers' undergraduate and postgraduate education. We focus on the defining process associated with…

This article presents a research apparatus for investigating and making sense of stories that emerge from feedback that mathematicians provide on students' proofs. Using the commognitive framework, the notion of "didactical discourse on proof" is developed as a lens for conceptualizing mathematicians' practice of feedback provision. The…

Mathematics teacher educators frequently provide in-service teachers (ISTs) opportunities to practice teaching within the university classroom. While these opportunities are valuable, some question whether they focus too narrowly on learning a particular procedure for teaching instead of learning why and when to use that procedure. To address this…

The stories of high-achieving African American mathematics students are gaining prominence in the research literature. In this multiple case study, I use a critical race theoretical frame to document and analyze the experiences of 4 mathematically persistent African American male students who earned undergraduate degrees in mathematics and…

Why would anyone think of teaching and learning mathematics directly from primary historical sources? We aim to answer this question while sharing our own experiences, and those of our students across several decades. We will first describe the evolution of our motivation for teaching with primary sources, and our current view of the advantages…

This paper explores how in-service teachers enrolled in a graduate proof course interpret, understand, and use generic examples as part of their proving and justification activities. Generic examples, which are capable of proving and justifying with strong explanatory power, are particularly important for teachers considering teaching proof in…

Although positive effects of lesson study on teachers learning are reported, only some studies have investigated teacher noticing as an analytical tool for supporting teachers with an explicit focus, as in LS, and more empirical evidence is needed. This qualitative interpretive case study design aims to investigate the noticing processes of a…

This case study investigated how three teachers developed mathematical modelling activities integrated with content standards through participation in a course on mathematical modelling. The class activities involved experiencing a mathematical modelling activity, reading and rating example mathematical modelling activities, reading articles about…