It is agreed that algebra has an important role in physics, particularly through handling symbols. A lot of previous research has focused on how mathematics is used in physics from perspectives where mathematics is taken for granted, and not addressing potential differences of mathematics in the physics classroom and in the mathematics classroom.…

A teacher of mathematics knows mathematics as a teacher and as a mathematician. Whilst the existing research on teacher knowledge contributes to our understanding of the ways of knowing mathematics as a teacher, little is known about ways of knowing mathematics as a mathematician. Guided by the conceptual framework of mathematical practices (MPs)…

The aim of this pilot study is to evaluate the relevance of the use of history in mathematics education. This paper presents an experiment carried out in France with sixth-grade students (n=108) in which an ancient number system is used, an approach that is commonly suggested in French sixth-grade textbooks but has previously been unassessed.…

Attention to the disconnection between culture and mathematics has been addressed then and now (Wilder (in: Graves et al., Proceedings of the international congress of mathematicians, American Mathematical Society, 1950; Liu in Taiwan Journal of Mathematics Education, 8:79-88, 2021b). Recently, studies, workshops, and contests about an approach to…

Personal epistemological beliefs play a key role in teacher engagement with professional learning, so consideration of epistemic cognition is integral to the designing of sustainable professional learning. This qualitative study uses Chinn et al's (2014) model of epistemic aims, epistemic ideals and reliable epistemic processes (the AIR model) as…

While proof has been studied from different perspectives in the mathematics education literature for decades, students continue to struggle to build proof comprehension. Complicating this, the manner in which proof comprehension is assessed largely remains to be the definition-theorem-proof format in which students are asked to reproduce proofs or…

This study aims to determine the effectiveness of ethnomathematics-based learning on students' mathematical literacy through a meta-analysis study. Primary studies were collected from Google Scholar and ERIC databases based on the inclusion criteria. The results of the literature review obtained 16 studies, either from theses, proceedings, or…

Various studies have highlighted the important influence of math ability in a numerate society. In this study, we investigated the influence of emotional (math anxiety and math enjoyment) and cognitive-motivational (math self-efficacy) factors on math performance. Participants were 145 fifth-grade students (84 boys and 61 girls). The results…

Mathematical "magic," or experiences of beauty and creativity for K-12 mathematics students, can contribute to deepened content understanding. However, creating opportunities for mathematical "magic" in mathematics classrooms has been a challenge for classroom practitioners. To support development of these experiences in…

This study is the first to examine the associations between the occurrence, frequency, and adaptivity of children's subtraction by addition strategy use (SBA; e.g., 712 - 346 = ?; 346 + 54 = 400, 400 + 300 = 700, 700 + 12 = 712, and 54 + 300 + 12 = 366) and their underlying conceptual knowledge. Specifically, we focused on two rarely studied…

This paper reports on students' conceptions of minima points. Written assignments and individual interviews uncovered salient, concept images, as well as erroneous "mis-out examples" that mistakenly regard examples as non-examples and "mis-in examples" that mistakenly grant non-examples the status of examples. We used Tall and…

The professional character of mathematics teachers is influenced not only by their ability to manage learning but also by their beliefs about the subjects they teach. These beliefs include beliefs about the nature of mathematics (BNM), beliefs about mathematics learning (BTM), and beliefs about assessments (BAM). Together, these beliefs shape the…

Only a limited number of research has examined preservice preschool teachers' attitudes toward and beliefs about teaching mathematics, likely because there are no instruments aimed at preschool settings that have appropriately established psychometric properties. In the current study, we addressed this deficit and aimed to adapt the Preschool…

In response to the challenge of geometry's abstract and less engaging nature for students, this study explored the potential of connecting geometry to cultural elements, specifically geometric ornaments found in various cultures worldwide. Geometric ornaments, laden with cultural and spiritual significance, serve as a bridge between mathematics…

One of the main objectives of international large-scale assessments is to make comparisons between different countries, education policies, education systems, or subgroups. One of the main criteria for making comparisons between different groups is to ensure measurement invariance. The purpose of this study was to test the measurement invariance…