One typical challenge in algebra education is that many students justify the equivalence of expressions only by referring to transformation rules that they perceive as arbitrary without being able to justify these rules. A good algebraic understanding involves connecting the transformation rules to other characterizations of equivalence of…

The success or failure of education systems in promoting student problem-solving skills depends on attitudinal, political, and pedagogical variables. Among these variables, the design of mathematics textbooks is thought to partially explain why students from high-achieving countries show better problem-solving ability in international assessments.…

This document contains a model policy for state departments of education to create a K-8 Math Act or policy. The intent of such Legislature is that each student is prepared for success in Algebra.

Math to Mastery (MTM) is a multi-component math intervention that has demonstrated effective results in building math fluency and skill acquisition. Few studies have explored the use of brief experimental analysis (BEA) procedures to create an individualized, abbreviated MTM intervention to address skill deficits in basic math. The purpose of this…

The current study was conducted to investigate the relationship between math anxiety and math achievement, highlighting differences in motivation based on age, and the mediating effects of task persistence as well as aspects of the expectancy-value theory. The students in the study (grade five N = 335, grade eight N = 251) were from Estonian…

For over a decade, Which One Doesn't Belong? (WODB; Danielson, 2016) has been a beloved classroom routine that invites students to engage in mathematical decision-making and justification. In the WODB routine, four related figures are shown to students, and they are asked to decide which of them doesn't belong with the other three. The beauty of…

Adaptive teachers use student data to guide instruction. Learn about using an anecdotal record form to support adaptive teaching. In this article, the authors describe how teachers can use learning trajectories to make adaptive decisions to meet the needs of their students. They provide an example using the U .S. Math Recovery Council's learning…

Aim/Purpose: This study examines the relationship between primary school teachers' knowledge and their acceptance of digital game-based learning (DGBL) in mathematics teaching. Background: The rapid integration of digital technology in education highlights the potential of DGBL in primary mathematics education. Despite its advantages, 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 technical report describes the entire development process for all mathematics items and tests used in CBMSkills. A brief introduction highlights the purpose of the assessment system, noting their important relationship with easyCBM. Given the items are designed to provide teachers diagnostic information on students' specific skills within…

Mathematics instruction in primary school has been influenced by many policy changes and empirical findings in the previous two decades. Geometry lessons, in particular, were re-evaluated due to a paradigm change and, consequently, were attributed a new meaning within the mathematics curriculum worldwide. The present paper focuses on this paradigm…

A large body of research has shown the effectiveness of formative assessment on student learning. Yet research on teachers' implementation of formative assessment is relatively underdeveloped. In addition, there has been a lack of effective instruments for observing teachers' formative assessment practices. This study focuses on the ongoing…

This study reviewed papers in the Web of Science database from 2010 to 2020, which were relevant to the integration of the dynamic geometric software, GeoGebra, into mathematics education with a focus on publication trends, research methods, participants, application domains, learning strategies, and research issues. It was found that there have…

Evidence in South Africa of poor performance on word problems points to particular challenges among learners relating to difficulties with, on the one hand, making sense of mathematical word problems and, on the other, moving beyond inefficient counting based calculation methods. While many studies in mathematics education in South Africa have…