This study explores the effects of number structure characteristics on student thinking in solving missing-value proportion problems. Prior research has documented that the presence of an integer ratio is beneficial, particularly if the integer relationship is within the same measure space. Less information on student performance is available,…

Individual differences in Cattell-Horn-Carroll (CHC) cognitive abilities are related to individual differences in math problem solving. However, it is less clear whether cognitive abilities are associated with math problem solving directly or indirectly via math component skills and whether these relations differ across grade levels. We used…

In this paper, we demonstrate how atypical visual representations of a triangle, square or a parallelogram may hinder students' understanding of a median and altitude. We analyze responses and reasoning given by 16 preservice middle school teachers in a Geometry Connection class. Particularly, the data were garnered from three specific questions…

Twenty-five first-year preservice teachers attending a university in the Midwest of the United States of America participated in a whole-class-setting study aimed at investigating their knowledge of how they made sense of fraction concepts and operations, and how the development of this knowledge was facilitated during a mathematics education…

This paper articulates a stance on the study of students' meaningful mathematics understanding with multiple representations. We integrate Thompson's theory of quantitative reasoning and Dreyfus' theory of multiple representations in our approach to frame and conduct empirical investigations of the study of meaningful understanding of function. We…

Students' learning experiences in an introductory statistics course for non-math majors are compared between two different instructional approaches under controlled conditions. Two sections of the course (n = 52) are taught using a flipped classroom approach and one section (n = 30) is taught using a traditional lecture approach. All sections are…

This article draws on critical theories and perspectives on mathematics education to explain the tendency of mathematics teaching worldwide to remain focused on developing procedural understanding, despite repeated calls from the mathematics education community for a more relevant and engaging curriculum. It highlights how conventional approaches…

This study aims to investigate the effectiveness of the Emporium instructional method in a course of college algebra and trigonometry by comparing to the traditional lecture method. The math emporium method is a nontraditional instructional method of learning math that has been implemented at several universities with much success and has been…

Students in grades 3 and 4 attending a traditional public elementary school in a northeastern state did not meet proficiency levels in mathematics as measured by the state's assessment system. Published reports indicated that students attending the Montessori programs were more proficient in solving math problems compared to students in…

This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the writing of the guidance report "Improving Mathematics in the Early Years and Key Stage One" (ED612298). The review aimed to synthesise the best available international evidence regarding teaching and learning of mathematics for…

Purpose: To assess students' problem-solving skills, this study aims to investigate the consistency between self- and peer-ratings in consideration of the teachers' ratings in the process. Method: This study was a descriptive study which examines the mathematical problem-solving skills with the MFRM model concerning self-, peer- and teachers'…

This paper explores misconceptions and errors (M/Es) of eighth-grade students in Nepal with a quasi-experimental design with nonequivalent control and experimental groups. The treatment was implemented with teaching episodes based on different remedial strategies of addressing students' M/Es. Students of control groups were taught under…

Project-based learning (PjBL) is an appropriate learning model that can shape students' scientific, social and higher-order thinking. Implementing PjBL in education gives students the freedom to plan their own learning activities, conduct projects collaboratively and produce products. In a healthy menu project, PjBL can help students calculate…

This paper reports on a review of a series of video tutorials that were developed for offering at a distance to primary school students of Trinidad and Tobago during the pandemic. The materials selected for the review focused on the teaching of problem-solving skills based on topics drawn from the mathematics curriculum. The tutorials were…

Teaching meaningful and productive mathematical argument in school requires teachers who are comfortable with diverse forms of mathematical justification. This study examines the written and oral justifications of pre-service middle school teachers (PSTs) in a single classroom, focusing on the types of justifications they use during the patterns…