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…

Using picture books in teaching is a popular trend in early childhood education. However, little attention has been paid to such pedagogy in mathematics learning. For this article, we reviewed 16 empirical studies from the past two decades (2000-2022) regarding the use of picture books in mathematics instruction, in order to investigate their…

This study focuses on the knowledge revealed and developed by Elementary Mathematics teachers, in a teacher education course related to the representation of fraction division and the flexibility of the reference unit. The teachers solved a task aimed at mobilizing (and accessing) their knowledge related to their approaches to the sense of…

Purpose: Guided by the model of domain learning theory, this study was intended to determine the extent to which integrating a 10-min physical activity (PA) break in elementary school mathematics lessons would enhance the learning of mathematics content. Methods: A sample of 22 intact classes from a random sample of eight schools in Taiwan were…

Background: Internationally, the teaching of division has noted that the use of sharing situations with sharing actions (one-by-one distribution) is the predominant division model at the beginning of schooling. In South Africa, research suggests a sharing situation with sharing actions is also preferred in the early grades. Aim: This paper aims to…

This research evaluated the influence of technology-based teaching models on the development of critical thinking abilities in elementary school mathematics teacher candidates, as measured using Facione's (1990) criteria. The research was conducted with fourth-grade students studying in the Faculty of Education, Elementary Mathematics Education at…

The purpose of this study was to understand children's operations on fragmenting schemes while they are engaged with three different visual models, including circle, rectangle, and length model. This study was a sequential explanatory mixed method, which included two phases that happened sequentially with the dominant use of the quantitative…

As part of a longitudinal study focused on mathematical play, we (Melissa, Amy, and Anita) are often faced with questions about what counts as play and what mathematics (and other learning) we see in play, and whose play is most likely to be seen or dismissed. Rather than discuss our findings from classroom videos of kindergarten children engaged…

The purpose of this paper was to examine current mathematics interventions designed for students in kindergarten through eighth grade to determine how often they incorporated the five strands of mathematical proficiency identified by the National Research Council (2001). The five strands are conceptual understanding, procedural knowledge,…

In this article, we describe a case study that was conducted within a study aiming to diagnose grade 5 students' concept images of parallelograms. The theoretical framework that we adopted for this study was that of concept definition--concept image as reported by Tall and Vinner ("Educational Studies in Mathematics" 12:151-169, 1981), a…

Research in the area of equivalence and the equal sign dates back decades, demonstrating students often possess misconceptions concerning the meaning of equivalence and the equal sign. Students often understand the equal sign to mean the answer comes next (i.e., an operational definition) instead of the same as (i.e., a relational definition).…

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…