This research aims to conduct a fixed-effects meta-analysis to unpack the causal role of music interventions on mathematics achievement. Findings indicated that music interventions had a small to moderate positive effect on mathematics achievement (N = 77,595, k = 245, g = 0.36, p < 0.01, 95% CI [0.34, 0.38]). Mathematics skills, instructional…

Children's foundational mathematical skills are critical for future academic attainment. While home mathematical activities (HMAs) have been proposed to support these skills, the extent to which engaging in them supports mathematical skills remains unclear. This preregistered systematic review and multilevel meta-analysis identified 351 effect…

The efficacy of mathematics interventions for students with mathematics difficulties is a critical concern in educational research, particularly in light of the increasing demand for effective instructional strategies. While previous meta-analyses have explored various aspects of mathematics interventions, our study uniquely focuses on a broad…

This paper describes a project assigned in a multivariable calculus course. The project showcases many fundamental concepts studied in a typical course, including the distance formula, equations of lines and planes, intersection of planes, Lagrange multipliers, integrals in both Cartesian and polar coordinates, parametric equations, and arc length.

This research centers on implementing Quantitative Reasoning (QR) within a differential equations course at an urban public community college. As a participant in the Numeracy Infusion for College Educators (NICE) faculty development program, I sought to integrate QR skills into my curriculum. Students in the course were introduced to QR goals…

The current meta-analysis quantifies the average effect of worked examples on mathematics performance from elementary grades to postsecondary settings and to assess what moderates this effect. Though thousands of worked examples studies have been conducted to date, a corresponding meta-analysis has yet to be published. Exclusionary coding was…

There is a strong relationship between the quality of education, teachers' decisions and instructional actions, and knowledge. All of them have an important role outcome of the lesson and students' learning. The focus of this study was to discover how the process of students' learning or incapability of learning was affected by teaching practices.…

In the current article, the authors outline ways for early childhood educators, such as general and special education teachers, district math coaches, and other personnel involved with school- and district-level math initiatives, to engage caregivers in home math activities, with a focus on concepts already taught in school and aligned with…

A teacher of mathematics knows mathematics as a teacher and as a mathematician. Whilst the existing research on teacher knowledge contributes to our understanding of the ways of knowing mathematics as a teacher, little is known about ways of knowing mathematics as a mathematician. Guided by the conceptual framework of mathematical practices (MPs)…

Purposeful questioning is one of the most important elements to promote successful mathematics understanding (National Council of Teachers of Mathematics, 2014; Ontario Ministry of Education, 2011). Questioning helps teachers to elicit, interpret, and respond to student thinking (Stein et al., 2008) and supports students' understanding,…

We present findings from an analysis of tests of teacher mathematical knowledge identified over a 20-year period of mathematics education literature. This analysis is part of a larger project aimed at developing a repository of instruments and their associated validity evidence for use in mathematics education. We report on how these tests are…

Background: Various findings regarding the relationship between math anxiety and engagement have been identified in the literature, with many focusing on general math anxiety and overall math engagement. Objectives: Based on the control-value theory, this study examined the relationships between trait- and state-math anxiety and behavioural and…

With a focus on related rates problems, the present study reports on quantitative and covariational reasoning opportunities provided by five widely used calculus textbooks in the United States. There are three major results from this study. First, quantitative reasoning opportunities are plentiful, while covariational reasoning opportunities are…

Functions and graphs are fundamental mathematical concepts in mathematics and are vital to helping students comprehend the relationship between variables and other advanced topics in higher-level mathematics. Research has shown that students continually possess misconceptions and inaccurate thinking about functions and function representations.…

Learning trajectories refer to the progression of students' knowledge acquisition and skill development within a specific domain. By identifying students' proficiency levels across specific knowledge points or attributes, cognitive diagnostic models (CDMs) allow researchers to systematically describe and analyze learning trajectories. This study…