Mathematical games are widely used in primary school classrooms, yet the activities that are labelled as "games" vary considerably in their structure, cognitive demands, and potential to support student reasoning. This conceptual paper offers a typology that distinguishes between pseudo-games, superficial games, gamification, and…

Assessing and monitoring the mathematics progress of students is a key role for teachers. It is important for assessment tools to identify students who are not yet thriving and provide guidance for teachers about how to support these students. In our study, teachers assessed 396 Grade 1 students midway through the school year using the Mathematics…

Generative Artificial Intelligence (GenAI) chatbots provide teachers with opportunities to enhance their expertise by exploring topics relevant to their practice. However, studies have raised concerns about ChatGPT's mathematical accuracy. This pilot study evaluated ChatGPT's Pedagogical Content Knowledge (PCK) and Content Knowledge (CK),…

In recent years, research on mathematics teachers' beliefs has increasingly shifted its focus toward understanding their connection with instructional practices. This article introduces a model designed to explore mathematics teachers' beliefs through a comprehensive analysis of their practices. The contributions of models that study the…

Undergraduate science students face difficulties using mathematics in their physics courses. Choosing an institutional perspective, we consider that these students experience a permanent transition between mathematics in their mathematics courses and mathematics in their physics courses. We refer to the anthropological theory of the didactic and…

We examine the meanings students give to points when they are graphing relationships between quantities in dynamic, experiential contexts. Using data from teaching experiments with middle-grades students, we illustrate two main categories of meanings: iconic and quantitative. We then introduce four distinct subcategories of meanings: (a) iconic…

Background/purpose: This study aims to analyze students' ability to solve differential calculus problems in relation to their prior mathematical knowledge (PMK). Materials/methods: A qualitative research design method was employed. Participants in this study were 103 third-semester students at the university enrolled in the Differential Calculus…

The 2030 Sustainable Development Goals of UNESCO places a focus on quality education for all learners. However, meeting the requirements for quality education seems far-fetched for some developing countries, such as South Africa. The reason being that mathematics performance in South Africa is still an area of concern. The assumption is that this…

Solving contextual math problems has been a central activity in mathematics education for decades, as they are believed to meet the requirements of being meaningful to students due to their contextual relevance and enable them to engage in deep learning characterized by the use of higher-order skills. Deep learning is activated when students are…

Students with learning disorders are often seen primarily through their challenges, with less focus on their strengths, divergent thinking, or mathematical insight. The current study seeks to offer a different view by exploring the arithmetic abilities of third-grade students with learning disorders through the lens of mathematical creativity.…

The use of learning analytics tools can support teaching and learning, but teachers' adoption of these is a complex process that must be better understood to encourage uptake. We implemented a professional development programme designed to support secondary school mathematics teachers in adopting both new pedagogical practices and an advising…

In classical calculus textbooks, the existence of primitive functions of continuous functions is proved by using Riemann integrals. Recently, Patrik Lundström gave a proof via polynomials, based on the Weierstrass approximation theorem. In this note, it is shown that the proof will be easy by using continuous piecewise linear functions.

This study explores secondary mathematics teachers' perceptions of the experiences that contributed to their capacities to understand mathematical modeling and to facilitate students' modeling experiences. The retrospective research methods and transformative learning theory frame used in the study honor teachers as adult learners and value their…

Special tutorials both online and off-line were experimented in order to provide extra support for the senior pre-service mathematics teachers at an Australian regional university to improve their learning experience and achieve the best possible learning outcomes in an advanced mathematics course focusing on solving ordinary differential…

The teachers' beliefs in ethnomathematics-based numeracy learning are a crucial element to be able to develop students' numeracy skills. The teachers' beliefs in developing students' numeracy skills through ethnomathematics-based numeracy learning is a teacher's personal view about certain practices that are considered correct, which include four…