This study is a systematic review of Technological Pedagogical and Content Knowledge (TPACK) studies concerning primary mathematics education published between 2005 and 2022. The aim of the systematic review was to identify the common features of previous TPACK research on primary mathematics education and identify the research gaps based on their…

The authors provide a comprehensive and practical guide to early childhood mathematics, blending research, practice, and inspiration into a resource that teachers can immediately use. Through anecdotes, illustrative videos with a comprehensive index, and detailed assessment protocols, they show how learning trajectories and formative assessment…

In the field of mathematics education, the importance of visualization cannot be overstated, especially in mathematical problem-solving. The review's objective is to investigate visualization in mathematical problem-solving in secondary schools. Its status, regional contribution, subject domains, and outcomes should be the focus and…

Even though teacher educators are often recognized as key actors in implementing curriculum reforms, little is known about their joint meaning-making about these reforms. In this article, Bernstein's description of the general recontextualizing processes is used to identify the local processes which contributed to teacher educators'…

Black students are marginalized in mathematics education in the USA, including through their language. However, there is little research on how mathematics teachers can best serve Black Language (BL) speakers. Because BL is a significant sensemaking resource for Black students in mathematics, we investigate how BL-speaking mathematics teachers use…

An important source for the difficulties students face with fractions is the natural number bias (NNB), which refers to the phenomenon of applying natural number properties in fraction tasks, even when this is inappropriate (e.g., 1/4+1/3 = 2/7). The present longitudinal study investigates whether this misconception is related to the development…

This paper examines how different approaches in mathematics education conceptualise the relationship between school mathematics and university mathematics. The approaches considered here include: (a) Klein's elementary mathematics from a higher standpoint; (b) Shulman's transformation of disciplinary subject matter into subject matter for…

Mathematical flexibility has been widely acknowledged as an important learning goal in mathematical education and has received increasing research attention in order to explore its nature, facilitating mechanisms, and promotion interventions. Given that researchers conceptualize, assess, and explain flexibility in mathematical problem solving from…

Language as a cultural element influences Aboriginal pupils' mathematic performance. This study examines the utility of oral test in native language for computation and word problem mathematics items using score comparability. The sample includes 230 Grade 5 Orang Asli pupils from eight Malaysian primary schools in two states. By employing…

Background/purpose: Although mathematical representation ability is a significant ability and an interesting topic to study, quite a few researchers have studied this ability, and even fewer have examined it through the implementation of epistemic learning patterns based on problem-solving. In fact, this learning pattern is epistemic and makes…

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…

This paper investigates the connection between the spiral teaching method and mathematical rigor in K-12 education. Defining rigor as a balanced integration of conceptual understanding, application, and procedural fluency (contrasting it with rote learning), the paper posits that the spiral approach cultivates this rigor. By revisiting…

The Mindsets mathematics program addresses the challenge of engaging middle school students in rigorous, grade-level math by making mathematical reasoning relevant, collaborative, and accessible. This research examines how the program uses hands-on, real-world challenges to promote engagement and deep understanding while meaningfully improving…

As grading reform efforts such as standards-based grading and grading for equity gain popularity, school leaders play a key role in supporting mathematics teachers' implementation efforts. This paper describes what mathematics leaders need to know about grading reform and what mathematics leaders should do to support teachers in implementing…

Research has shown that many primary students experience transition barriers between additive and multiplicative thinking. This paper analysed responses from 253 Years 3 to 6 students to a diagnostic assessment which consists of whole number multiplication and division problems involving equal groups, arrays, multiplicative comparison and…