Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…

Mathematics has been crucial to learning and extending the frontiers of knowledge in all academic areas. At the elementary level, several teaching approaches have been implemented to improve students' mathematical achievement. However, compared to traditional teaching exposition techniques, the teaching with the use of math manipulatives has been…

Background: Digital game-based learning is gaining increased attention from both researchers and educators for improving mathematics instruction. However, the evidence for game-based learning is mixed and research with rigorous research design and analyses are limited. Objective: Here, in a pre-registered randomized controlled study, we…

This study reports on comparing the presentation of mathematical content, types of responses required of students, conformity with the curriculum outcomes, and potentially confusing expressions in the subjects of percentages, triangles, and quadrilaterals of fifth-grade mathematics textbooks used in Turkey and Singapore. Document analysis of the…

In this study, we propose an integrated hierarchical model of computational estimation strategies (IHMCES), which can be used to organize a set of computational estimation strategies, used by a group of individuals, in strategy ranges. IHMCES can be used for the description of the repertoire, profile and flexibility of individuals regarding the…

The aim of this study was to examine the effects of self-regulated Jigsaw IV on mathematics achievement, self-efficacy beliefs, and mathematics anxiety among 5th-grade students. The pretest and post-test non-equivalent control group design was utilized in the study. The participants consisted of 40 fifth graders, half of them were assigned to the…

This study reports the findings from a year-long randomized evaluation assessing the impact of assigning 62 classrooms in Nigeria to receive either blocked or interleaved math problem sets. Blocked practice sessions focused on a single skill at a time. Interleaved problem sets alternated between different skills within a practice session. On tests…

This article shares two activities geared toward students in middle school that engage students in analyzing measures of center, specifically the arithmetic mean, and using transnumerative thinking with the ultimate goal of improving students' statistical literacy. Both activities support the Common Core standard, 6.SP.B.5 "Summarize and…

Determining the effectiveness of core mathematics curricula is foundational to evidence-based practice. Examining effectiveness heterogeneity is also crucial to better understanding mathematics achievement among English language learners (ELLs). In this study, we used a quasi-experimental design (difference-in-differences) to examine the impact of…

This paper explores how learning analytics data provided by a math problem-solving educational technology platform informed 5th and 6th grade teachers' instructional decisions around socioemotional learning (SEL). MathSpring is an educational technology tool that provides teachers with data on students' effort, progress, and emotions while…

Nowadays, learning should be directed to develop the 21st-century core competencies, including creative thinking in problem-solving. Therefore, the present study aimed to improve the students' creative thinking and mathematics learning outcome through the implementation of the Treffinger learning model with Realistic Mathematics Education (RME)…

Modern concept of education is based on students' centered learning approaches where collaborative instructional strategy is an emerging approach. It has been tested in different subjects and its effectiveness has been proved. Therefore, this experimental study investigated the effects of Collaborative Instructional Strategy (CIS) on mathematics…

Determining the effectiveness of core mathematics curricula is foundational to evidence-based practice. Examining effectiveness heterogeneity is also crucial to better understanding mathematics achievement among English language learners (ELLs). In this study, we used a quasi-experimental design (difference-in-differences) to examine the impact of…

This study investigates the use of manipulatives by elementary students working on a fraction task. Extending previous work on the role played by the manipulatives in students' activity, we aim at describing how the choices made for the task design disrupt students' activity, creating opportunities to learn. The theoretical underpinnings allow…

Cognitive, numeracy, and motivational factors have been implicated in math achievement. However, few studies have investigated these factors simultaneously and in middle childhood, limiting our understanding of the relative contributions of these factors during an important developmental period. The current study investigated how one numeracy,…