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.

Mathematical spaces often reinforce and perpetuate whiteness. Despite efforts to decenter whiteness in secondary and post-secondary classrooms, equity-oriented strategies can still perpetuate whiteness. In this action research study, I turned the lens of whiteness upon my instructional practices and curriculum. Using an analytic framework for…

In the last decade, researchers have focused more on how to provide instructional supports for mathematics writing (Powell et al., 2017). In this synthesis, we examined 22 studies about mathematics writing to determine the overall mathematics-writing and mathematics outcomes of mathematics-writing instruction, the mathematics-writing and…

Grades K-12 institutions in the United States continue to have a more culturally, linguistically, and racially diverse student population, with Hispanic and Asian students increasing in record numbers (United States Census Bureau, 2023). As a result, K-12 mathematics teachers are expected more than ever to design, select, and implement…

How much explicit logical reasoning instruction should be included in first-year mathematics courses, particularly those for non-math majors? We argue that all first-year students in mathematics courses should receive explicit instruction in logical reasoning. Engaging with precise logical statements is a fundamental skill in mathematics,…

Fraction knowledge is an essential building block for successful completion of advanced mathematics courses and linked to the development of algebraic understanding. Many students, especially those with disabilities, experience significant difficulties developing fraction knowledge. Intensive fraction interventions have been shown to be effective…

Graded Troubleshooting (GTS) is a powerful routine that teachers can use easily to engender students' metacognitive thinking and boost their understanding of mathematics concepts and procedures. This article describes a new GTS activity designed to prompt students to efficiently exploit worked examples when asked to diagnose erroneous examples…

Inferentialism has emerged as a valuable theoretical resource in mathematics education. As a theory of meaning about the use and content of concepts, it offers a fresh perspective on traditional epistemological and linguistic questions in the field. Despite its emergence, important inferentialist ideas still need to be operationalized. In this…

This study explores the effectiveness of different problem-posing approaches in improving learning outcomes and problem-posing abilities among prospective mathematics teachers. This study employed a pre- and post-tests control group experimental design. The experimental group engaged in online and direct problem-posing, the comparison group used…

Mathematics textbooks play an important role in providing learning opportunities for students, and connections have been emphasized in the curriculum reforms of many countries. However, few studies have conducted comparative research on mathematics textbooks from the perspective of connections, particularly with respect to the difficulty of the…

Metacognition supports students in successfully working through struggle by equipping them with the tools to maintain an awareness of what they are doing and to change directions when needed to overcome obstacles. Thus, it is of little surprise that effective problem solvers spend a significant amount of time analyzing tasks relative to the amount…

Background: Achievement emotions are important for mathematical achievement. However, it is currently unclear how specific combinations of emotions--and their associated control and value appraisals--relate to mathematics performance, especially in younger students. Aims: The aims of this study were to (i) identify heterogeneous profiles of…

This study reviews the literature on error patterns in mathematics among students with mathematics difficulty. We analyzed and synthesized the findings from 17 studies, focusing on the characteristics of error analysis studies, the mathematics topics examined, and the specific error patterns identified. The results revealed the following: (a) the…

Early intervention and identity-building can promote the idea among students that everyone is a math person. Natalie Parker-Holliman and Tenisha Marcel-Herbert share practical tools and strategies that schools and teachers can use to build students' confidence and strengthen their mathematical foundation. They highlight the significance of culture…