This study aimed to evaluate the effectiveness of a remedial teaching intervention in improving learners' understanding of trigonometric equations. Using a mixed methods exploratory case study design, a purposive sample of 24 Grade 11 learners from a rural school in the Eastern Cape province participated in the intervention. The research involved…

This paper introduces an approach that uses latent class analysis to identify cut scores (LCA-CS) and categorize respondents based on context scales derived from largescale assessments like PIRLS, TIMSS, and NAEP. Context scales use Likert scale items to measure latent constructs of interest and classify respondents into meaningful ordered…

This study examined the effects of students' motivational beliefs and school mathematics instructional quality on students' mathematics achievement based on the Opportunity Propensity Framework. We selected 8854 15-year-old students from 683 schools across 5 countries/economies (Hong Kong, Macao, Shanghai-China, Singapore, Chinese Taipei) in PISA…

The aim of this book is to convey to teachers the potential of out-of-school environments for mathematics education. This book is primarily intended to inform teachers about the potential of out-of-school learning environments for mathematics learning/teaching. First of all, these environments will be introduced to teachers. It will be explained…

Professional competence is an important factor in determining the quality of teachers' education. A limited number of studies examine preservice teachers' professional competencies from a person-centered approach. The current study aims to identify latent profiles of preservice teachers' professional competencies. Data were collected from 545…

The purpose of this study was to evaluate the effect of a mathematics intervention that utilized the Universal Design for Learning (UDL) framework on mathematical problem solving skills for three middle school students with extensive support needs (ESN). Participants were taught to solve percent of change word problems related to personal finance…

The present study aimed to develop a valid and reliable instrument to determine the symbolic mathematics language literacy perceptions of junior high school students, and to investigate literacy perceptions based on gender, final mathematics achievement scores, significance of using symbols, and school grade variables. The study group included 312…

Singaporean children are the best performers on international achievement tests in mathematics (i.e. the TIMSS). Their excellent results could be due at least partly to certain characteristics of the textbooks used there (Oates 2014). Therefore, these materials could be taken as a good benchmark to describe and evaluate aspects of the textbooks of…

In this article, we describe one possible way to modify volume tasks in textbooks to promote conceptual understanding of the volume formula: length × width × height. From the results of previous studies regarding students' understanding of volume measurement, we identified three conceptual ideas key to understanding volume: filling…

Three mathematics education researchers discuss their findings on the use of diagrams in math instruction for English language learners. The authors show how diagrams can help students who are English learners better develop mathematical thinking and communicate their mathematical understanding.

Now in its fourth edition--with more than 50 new questions and a new chapter on financial literacy--this bestselling resource helps experienced and novice teachers effectively and efficiently differentiate mathematics instruction in K-grade 8. Math education expert Marian Small shows teachers how to get started and become expert at using two…

This article provides information to educational leaders about how to address the challenge of supporting students who are emergent multilingual--i.e., those identified as English Learners (ELs) by their schools--in middle grades mathematics classes. The ideas in this article draw on research and collaborations with hundreds of teachers across the…

In this study, the authors investigate the ways in which young students demonstrate their critical mathematical thinking (CMT). Students aged 5-6 who are beginning their first formal year of education participated in the study. Data is presented from individual clinical interviews undertaken with 16 students. These interviews were analysed using…

Automated scoring of student responses to open-ended questions, including short-answer questions, has great potential to scale to a large number of responses. Recent approaches for automated scoring rely on supervised learning, i.e., training classifiers or fine-tuning language models on a small number of responses with human-provided score…

This exploratory study examined whether instruction aligned with the Institute of Education Sciences recommendations (i.e., use of worked examples, representations, deep questions) predicts student learning of early algebra, particularly inverse relations, in elementary classrooms. Instructional quality was determined through an…