This research aimed to 1) study compositions and indicators towards learning management competencies for enhancing critical thinking of math teachers in secondary schools, and 2) to check construct validity of learning management competencies for enhancing critical thinking of math teachers in secondary schools. The sample group was 260…

The research aimed to measure the effect of educators' teaching effectiveness focusing on content knowledge (CK) and pedagogical content knowledge (PCK) as key determinants. A descriptive survey design was utilised for the study and the participating educators were selected through a simple random sampling method. Four research questions were…

Malaysia recorded the largest decline among other ASEAN countries in the 2022 PISA mathematics performance. Although the COVID-19 pandemic may have contributed to this poor mathematics performance, previous PISA trends have shown that Malaysian students were already struggling in mathematics before the pandemic. Given this pressing concern, this…

This study examines the impact of working memory capacity and mathematics anxiety on the creative reasoning of prospective mathematics teachers, highlighting how these cognitive factors shape problem-solving processes. This research used a mixed-method sequence explanatory method with a sample size of 60 people for quantitative research, and four…

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…

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…