Making meaning with math in physics requires blending physical conceptual knowledge with mathematical symbology. Students in introductory physics classes often struggle with this, but it is an essential component of learning how to think with math. Teaching the dimensionality of measured quantities and dimensional analysis (DA) is a valuable first…

In this mixed-methods research, the relationship between four factors of individual online learners and their mathematics self-concept was explored. In addition, the challenges the students faced in learning mathematics online during the Coronavirus disease (COVID-19) pandemic were determined. The participant students were from two mathematics…

Background: Evaluations of effectiveness of educational reforms are often based on the level of improvement in student performance from one cycle of a particular assessment to the next. However, improvements in overall performance do not necessarily translate to improved equality. Indeed, improvements that favour certain subgroups of students can…

The appropriateness of guess and check as a problem-solving strategy has been debated. This qualitative study examines the use of guess and check by middle-grades students to solve linear systems of equations. Students' reasoning is examined within the number sequences framework, which is based in part on students' units coordination. Only…

Research on elementary students' reasoning on patterning problems with pictorial representations has illustrated that students can visualize structure in patterns in different ways. In this paper, we offer a characterization of students' spatial structures and numerical structures and explain how the link between these two structures can support…

Positioning teachers as designers of curricular resources invites opportunities for exploration at the intersection of content, pedagogy, and design. As researchers accepting greater responsibility for preparing teachers to maintain a commitment to their pedagogical vision in practice, this work seeks to cultivate the imagination of humanistic…

The gender gap in mathematics outcomes, where women are most affected, is well documented internationally and is particularly high in Chilean secondary education. This study explores the educational inclusion of girls in mathematics classrooms. The coding of videos from 79 school lessons, involving 2,295 students, allowed us to compare how and how…

In this article, Janice Padula discusses and compares schools of thought on what mathematics is and what mathematicians do. This discussion aims to encourage lively classroom discussion and interest in mathematics for high achieving Form 12 students and first (or higher) year university students enrolled in a mathematics degree program.…

This article focuses on the unintended consequences of within-class ability grouping on primary students of mathematics. I review relevant research, including promising approaches to teaching in mixed ability settings. I then outline four ways in which these groupings are typically structured, discussing some of the issues that arise with each of…

There is a broad consensus that beginning teachers of mathematics need a strong foundation in mathematical knowledge for teaching (MKT), defined as the mathematical knowledge required to recognize, understand, and respond to the mathematical work of teaching in which one must engage. One recurrent challenge in teacher education is how to provide…

We report on the use of a data-gathering task requiring preservice primary teachers to 'graph' their emerging relationships with mathematics. A cultural-historical activity approach was used to analyse data from nine final year preservice primary teachers to reveal what and how key events in their lives helped shape their current mathematical…

This program focused on improving mathematics content and pedagogy for fifth-grade teachers, including regular classroom teachers and exceptional education teachers, as they implemented the Common Core State Standards (CCSS) for Mathematics. Concentrating work with a single grade allowed for tightening breadth while increasing depth of content.…

Technology-based learning tools provide new opportunities to engage students in learning academic content. This study focuses on one such tool, Play Lu Interactive Technology (PLIT), and analyzes how students' math achievement on standardized test scores differs between students who have used PLIT and students who have not. PLIT is designed to…

This volume provides an in-depth, comparative examination of how primary mathematics education is influenced by national education reform, policy, local resources, and culture in three different countries. By drawing on first-hand observations and interviews, as well as analysis of policy documents and learning resources, the book considers the…

This paper investigates two specific probabilistic biases which middle graders usually exhibit when reasoning about probability and randomness on assessment items. We discuss how students' reasoning about key probability concepts undergirds statistics literacy related to randomness, independence, and the likelihood of future events based on past…