This study explores the effectiveness of different problem-posing approaches in improving learning outcomes and problem-posing abilities among prospective mathematics teachers. This study employed a pre- and post-tests control group experimental design. The experimental group engaged in online and direct problem-posing, the comparison group used…

Background/purpose. This study aims to examine the effects of integrated board game development and cooperative learning on pre-service mathematics teachers' mathematical reasoning, conceptual understanding, creativity, and teamwork skills in Thailand. Materials/methods. Using a mixed-methods approach within the PAOR…

This paper examines Grade 10 students' conceptions of proof in a secondary school in Singapore. Using a purposive survey of 9 mathematical items, proofs by 8 students for two items, one on Number and Algebra and another on Geometry and Trigonometry, were coded using Harel's proof schemes. The findings show that the students' proofs for the two…

In the evolving landscape of 21st-century education, inquiry-based learning (IBL) has emerged as a leading pedagogical framework to foster critical thinking, problem-solving, and conceptual understanding in students. However, the effective integration of IBL in primary school mathematics education remains a complex challenge, particularly in the…

Socioeconomic status (SES) influences school success. Students with lower SES may face challenges that this study aims to address through instructional scaffolding. To be effective, such support needs to consider students' individual strengths and weaknesses. In this study, 321 sixth-grade students used an e-textbook about fractions. They were…

We present an innovative educational design for basic arithmetic that responds to students' documented difficulties with adding and subtracting single-digit positive and negative numbers. The design utilizes MOVES, a technological architecture that combines floor- and wall-projected interactive interfaces. Students enact arithmetic operations,…

Writing-intensive and proof-based mathematics courses have a variety of unique course outcomes and challenges. As such, active learning in these courses may differ from what we traditionally expect to see in an "active" first-year calculus course: an interactive in-class activity can be replaced with an out-of-class reading and homework…

Mathematics textbooks play an important role in providing learning opportunities for students, and connections have been emphasized in the curriculum reforms of many countries. However, few studies have conducted comparative research on mathematics textbooks from the perspective of connections, particularly with respect to the difficulty of the…

This research is motivated by low critical and creative thinking skills. Apart from that, many previous studies have looked at the effect of worksheets on critical and creative thinking skills. It is worth evaluating whether the statistical results of these studies can be trusted and reported. For this reason, this research aims to compile and…

Analogy has played an important role in developing modern mathematics. However, it is unclear to what extent students are granted opportunities to productively reason by analogy. This article proposes a set of lessons for introducing topics in ring theory that allow students to engage with the process of reasoning by analogy while exploring new…

A method is presented which can be used to obtain analytical solutions for boundary value problems (BVPs) using the matrix exponential and Maple. Systems of second order, linear differential equations are expressed as two or more first order equations in matrix form, and their solutions are obtained using the matrix exponential, matrix…

The Building Painted Cubes Task is a groupworthy algebraic task. Students build cubes using linking unit cubes, search for algebraic patterns, and report findings on posters. This task can create spaces for students to see themselves as doers of mathematics.

Undergraduate mathematics tutoring centres are prevalent in many countries; however, there is limited research-based evidence on effective organizational structures for these centres. In this study, we consider two research questions. First, how can the quantitative and qualitative data from 10 mathematics tutoring centres be organized for…

In this paper, we draw on recent research on so-called Fermi problems and situate the fundamental principles underlying this type of tasks and their use from a task design perspective. We use the models and modelling perspective on teaching and learning to elaborate on aspects related to the design of single-use, as well as sequences of, Fermi…

Purpose: Research shows that postsecondary students are largely unaware of the impact of algorithms on their everyday lives. Also, most noncomputer science students are not being taught about algorithms as part of the regular curriculum. This exploratory, qualitative study aims to explore subject-matter experts' insights and perceptions of the…