This article explores the features of students' reasoning and sense-making when computer programming and mathematics interact, specifically, using the exterior angle concept to make different regular polygons with Scratch as a programming tool. At the end of the 2019 spring term in a public elementary school, data were obtained from a pretest, a…

The first stage of a study in Québec enabled us to draw up a statistical portrait of probability teaching practices self-reported by 626 teachers at the elementary and secondary levels. For the second stage of the study, discussed here, we wanted to elaborate on some of the questionnaire answers and to discuss professional development avenues…

Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…

Previous research suggests that integrating music into mathematics can benefit students' mathematics learning but leaves questions as to exactly how students interact with music context and mathematics simultaneously. This study used a descriptive multiple-case study design to understand the way high school students utilize music while engaging in…

This study examined how coaching by a professional development provider assuaged math anxiety in elementary teachers. Studies have shown that elementary teachers have high levels of math anxiety which can lead them to avoid teaching mathematics in productive ways and ultimately pass their math anxiety on to students. This study furthers the…

This study compares the impact of two New York State mathematics Regents-level course sequences on the number of secondary mathematics courses taken by New York City Department of Education (NYCDOE) students and explores the potential that programming decisions could increase or diminish the mathematics learning opportunity and achievement of…

Lesson study is a model of effective professional development that originated in Japan and has become popular among math teachers worldwide in recent decades. Idaho math teachers have engaged in lesson study as a method of professional development for the past six years. Research is needed to determine the impact of lesson study on the…

Mathematics achievement levels in the middle school grades have reportedly been below proficiency for students in the United States. The math workshop model has been identified as a possible approach to increase student achievement in mathematics. The purpose of this generic qualitative study, guided by Mezirow's transformative learning theory,…

In response to a shift to high-stakes assessments, teachers are changing their instruction and approaches away from research-based formal training on best practices teaching in response to the stress and pressure this shift has created (Avalos et al., 2020; Gonzalez et al., 2017; Musoleno & White, 2010). More research is needed on teachers who…

Students in Urban District 1 were not meeting grade level learning outcomes in mathematics on state- and district-administered benchmark assessments. The purpose of this study was to determine if including a specific educational video game (EVG), Prodigy, in mathematics instruction with third-grade students would influence students' math…

This study explored the mathematical beliefs of two second-grade teachers. This exploration included 1) the nature of mathematics beliefs and orientation towards teaching and learning held by the teachers, 2) how their beliefs were developed and, when applicable, changed, and 3) how their beliefs influenced their mathematics instruction. It used…

Through a series of four papers, this dissertation investigates developmental mathematics students' experiences with relearning, or the experience of learning about content one has already tried to learn in a previous mathematics course. Developmental math courses typically focus on K-12 algebra, and are required for graduation but notorious for…

This Fast Five provides an overview of key evidence-based practices that should be considered as part of core mathematics instruction, as well as intervention settings to meet the needs of all students.

Developing and supporting understanding of the meaning of multiplication and multiplicative relationships in students with mathematics learning disabilities requires carefully designed instruction that emphasizes strategic representation use. This article discusses three ways in which teachers can incorporate multiple representations within…

More research attention and implementation support are needed for mathematics intervention as student achievement in this area continues to fall below desirable levels. Incremental rehearsal is an intervention to help students build reading, vocabulary, and math fluency. Research supports the use of incremental rehearsal for improving math fact…