The overwhelming presence of a procedural meaning of equality and equations reported in previous research has led to a call for suitable pedagogical interventions to nurture a relational meaning of these concepts. This paper is a response to that call. Drawing on the theory of objectification, the first part deals with the configuration of a Grade…

This paper reports on an experiment involving 108 sixth-grade French students in which the history of Chinese numeration was used in mathematics education. The aim of this study is to evaluate the relevance of using ancient number systems in mathematics education, which is common in French textbooks. In the experiment a pre-test with usual…

The multi-faceted nature of mathematics knowledge for teaching, including pedagogical content knowledge (PCK), has been studied widely in elementary classrooms, but little research has focused on senior secondary mathematics teaching. This study utilised the Knowledge Quartet (Rowland et al., "Research in Mathematics Education," 17(2),…

In this article, the authors (a mathematics educator and a literacy educator) offer a framework to engage students with mathematics and children's literature through a read-aloud experience in which teacher and students engage with the text while problem solving. The authors describe the narrative-first approach as a strategy during which the…

In the multivariable calculus course, a standard application of triple integration is to find volumes of bounded regions in R[superscript 3]. In this article, we consider the problem of computing volumes, by way of examples, of regions bounded by planes and quadric surfaces. For illustration, we present the solution to two basic but non-standard…

Mathematics is traditionally taught using direct instruction, which has been found to engender negative affective responses towards the subject, including anxiety and low self-efficacy (Borko et al., 1992; Mischo & Maas, 2013). Direct instruction places authority on the instructor and involves teaching students about mathematics instead of…

Close to a decade ago Hong Kong completed the implementation of a New three-year Senior Secondary (NSS) curriculum by introducing the Hong Kong Diploma of (HKDSE) examination. Because mathematics is one of the core subjects intricately involved in this education reform, it is necessary to evaluate the connection between the Hong Kong S1 - S6…

Despite the burgeoning adoption of informal learning in people's daily lives, the actual effects of informal learning activities, especially technology-related informal learning activities, are much less reported than those of formal learning. Furthermore, there is a notable lack of research on the effects of technology-related informal…

Over the last several decades, digital technology (DT) integration in teaching and learning mathematics has received considerable attention, as such integration has not led to the expected results. Teacher education is a critical factor -- even more important than access to tools and devices -- in technology-enhanced teaching and learning. The…

The extent of engagement between students and their teachers, peers, academic and extracurricular activities goes a long way in creating a sense of belonging for students and effectual improvement in their performance in the subject matter. This study investigated the effect of mastery learning instructional scheme (MLIS) on post-basic school…

The study investigated the impact of pedagogies of practice approach on pre-service teachers' professional noticing skills in perimeter and area measurement concepts. Thirty-two pre-service teachers engaged in a video-based module situated in pedagogies of practice framework, and the analysis of three pre-service teachers was provided for in-depth…

Urban school leaders can support mathematics instruction that acknowledges and sustains students' racialized and cultured ways of knowing and being. Yet, leadership for racial justice is often discussed separately from instructional improvement. In this conceptual inquiry, we investigate how leadership can integrate antiracist practices into…

Incorporating open-ended real-world tasks enhances students' access to mathematical and real-life knowledge and maximizes learning experiences. This article examines how a secondary mathematics teacher used an open-ended problem on distributing pay raises to teach mathematical concepts and fairness to students. The teacher's actions exemplify…

Problem-solving ability was one of the competencies that students had to have, but it became more important when learning mathematics. Quite a lot of research has studied this ability, but not much has studied how to optimise it, especially using didactical design research based on lesson study. Participants in this research were 10 students…

The purpose of this study was to explore the effect of visually assisted guided discovery learning strategy on grade 10 students' problem solving skills of learning plane geometry in Woldia City, North Wollo, and Ethiopia. A nonequivalent quasi-experimental pretest-posttest-control group design and a case study design were used. The population of…