This paper focuses on the definitions and the mis-out and mis-in examples of rational numbers that four prospective elementary teachers presented while working on rational number assignments. The participants were first asked to respond, individually, to an Individual Rational Number Assignment, consisting of items aiming at detecting their…

Collaborative learning is a group learning paradigm in which individuals or students work together to solve problems or complete tasks, exemplifying the essence of collective educational efforts. There are a lot of collaborative learning methods available; however, finding one that is suitable for the complex nature of mathematical problem-solving…

Calculus is perhaps the most widely taught and researched upper-secondary/post-secondary mathematics subject the world over. The research literature is amassing greater clarity around students' understandings of calculus, yet calculus instruction tends to be at odds with this literature, maintaining a focus on procedural aspects of the subject.…

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…

Children's math performance is strongly correlated with later life outcomes, but early gaps in math skills are stubbornly difficult to close. It is therefore important to identify student math needs early. Using Grade 1-3 student records from Kentucky public schools, the study finds that typically recommended cut scores for widely used early grade…

Curricula are regularly updated to keep pace with social developments and scientific advancements. In this context, a new curriculum called the Maarif Model of Century of Türkiye was introduced into the Turkish Education System in 2024. Taxonomic approaches are often employed in the development of curricula; however, the specific taxonomic…

Using structural equation modeling, a previous study investigated the longitudinal relationships of role-related mathematics identity, efficacy, and interest to grade 12 mathematics performance. The results indicated that both mathematics identity and educational expectations at grade 11 were statistically and substantively significant predictors…

This research explores the impact of integrating Reflective Pedagogy within Mathematical Knowledge for Teaching (MKT), framed by the TPACK model, on enhancing mathematics proficiency in Rwandan Teacher Training Colleges (TTCs). The study involved 433 Year 2 TTC students in the Science and Mathematics Education program using a quasi-experimental…

For decades, mastery ambitions related to processes like problem-solving, modelling, and reasoning have been incorporated in mathematics curricula around the world. Meanwhile, such ambitions are hindered by syllabusism, a term I use to denote a conviction that results in mastery of a subject being equated with proficiency in a specific subject…

In this paper, we propose a novel conceptual framework tailored for modeling the meaning of mathematical concepts in university-level mathematics, addressing their rigorous nature and their relationships with related concepts as well as interpretations in various contexts. Within this framework, we present a model of meaning for the concepts of…

Students' competence in solving trigonometry has been in doubt but little attention has been given in the area of research. An assessment of students' answers to trigonometry problems is crucial to dealing with their conceptual challenges. This study employed a descriptive qualitative research design, with the goal of evaluating errors made by…

This paper reports on a two-part investigation into how students think about and use summation (sigma) notation. During an instructional design experiment, two participating students struggled with this notation, but also reasoned about it in creative ways. This motivated a follow-up study in which we administered a free-response three-item survey…

This study aimed to ascertain the contribution of children's effortful control (EC) to math achievement by testing the mediational involvement of math anxiety. Participants were 704 children (367 girls) aged between 7 and 12 years (M = 9.43, SD = 1.23). Children's EC was measured by parent's report, math anxiety was assessed through self-report,…

Effective math instruction is crucial for developing students' problem-solving abilities. This Spotlight explores key strategies and approaches to enhance math teaching and learning. From laying the foundation for algebra in kindergarten to improving understanding of fractions, these articles offer valuable perspectives. Discover how to help…

Students often perceive mathematics as a challenging and abstract subject, leading to disengagement and anxiety. To address these challenges, educators have increasingly turned to math games as a pedagogical tool to make learning more interactive and enjoyable. This paper explores the potential of math games, particularly Bachet's game, as…