Many studies have examined representational abilities, but few have explored the use of lesson study activities based on didactical design research, which integrated STEM to solve problems in higher education. This research aimed to develop a STEM-based blended lecture design that optimized the representation abilities of prospective mathematics…

Background/purpose: Over the past few decades, there has been a growing scholarly interest in mathematical self-efficacy, given its significant impact on students' motivation, persistence, and achievement. However, there is still a limited understanding of how these beliefs develop in culturally specific, non-Western settings, particularly in Arab…

Background/purpose: This study aimed to develop and validate a causal model of factors influencing the mathematical reasoning ability of Grade 6 students in Thailand. Materials/methods: The sample consisted of 530 students selected through multi-stage random sampling. Research instruments included a basic mathematics knowledge test, a mathematical…

Students with learning and other education-related disabilities generally demonstrate low mathematics achievement. While this is a complex phenomenon, one related factor may be low teacher self-efficacy for teaching mathematics to these students. The current study was a preliminary investigation (N = 40) into (a) differences in self-efficacy…

This study aimed to investigate the effectiveness of Differentiated Instruction (DI) using Writing to Learn (WtL) in a bilingual context to improve students' communication and connection abilities in mathematics. This study used mixed methods as a quasi-experimental design with a nonrandomized control group. The experimental class applied DI using…

This study explores two Year 2 teachers' perceptions of the affordances of a novel mathematical manipulative, the Keyboard, based on their observations of its use in the classroom. Analysis of the semi-structured interviews indicated that the Keyboard's linear structure, design features, and hands-on nature promoted flexible number strategies,…

Evidence of positive associations between the frequency of home math activities and preschool children's math skills is mixed, and the operationalization of home math activities varies across studies. We test whether home math activities can be grouped by activity factors based on the math subdomain they target (i.e., counting and cardinality,…

Given the growing relevance of issues of educational inclusion at an international level, educational curricula have stressed the need for addressing the student diversity in the classroom. In this article, the aspects of the mathematical teaching and learning process prioritised by a prospective teacher when incorporating Universal Design for…

Studies have investigated the effect of cognitive activation on students' performance, with some suggesting positive effects, while others report mixed or negative ones. This study aims to explore the factors contributing to this inconsistency by investigating the association between students' perceived cognitive activation and their mathematics…

In this paper, we examine mathematicians' views on the value of advanced mathematics for secondary mathematics teachers. The data comprise semi-structured interviews with 24 mathematicians from 10 universities. The findings indicate that the value of advanced mathematics courses for prospective secondary mathematics teachers lies in their…

The purpose of this study is to explore the relation between the teaching of Mathematics and the teaching of Statistics at high school level in the South African Context. The study also examines and analyses examples of statistical teaching situations from both a mathematical and a statistical perspective with view to reveal the links between the…

We explore the various Mathematica functions for performing Gaussian elimination, specifically when the linear system contains input parameters. On the one hand, we want the solution, perhaps heuristically found, to be in terms of the input parameters, and as general as possible. On the other hand, we must adhere to all necessary conditions and…

Algebraic identities, which are considered as one of the important subjects of mathematics and mathematics education, have important areas of use such as physics, chemistry, many branches of engineering, as well as calculating the distances among the earth, sun and stars and planning space travels. Algebraic identities play an important role in…

This is the third article in the "On the Shoulders of Giants" series that takes an outstanding mathematician, tells something of their life and work, and provides an item or two based on their achievements that can be used in a primary class. This article focuses on the work of Cheryl Praeger, with an activity based upon her work with…

All differential equations students have encountered eigenvectors and eigenvalues in their study of systems of linear differential equations. The eigenvectors and phase plane solutions are displayed in a Cartesian plane, yet a geometric understanding can be enhanced, and is arguably better, if the system is represented in polar coordinates. A…