In agreement with the main tenets of the anthropological theory of the didactic (ATD), this study uncovers dependencies between what students can learn, the established curriculum and the current state of mathematicians' mathematics ('scholarly mathematics'). One main result is that the mathematics taught, too often taken for granted by curriculum…

Translation is a critical issue in international mathematics education studies but has seldom been carefully investigated. How can a theoretical approach be translated and subsequently used in different languages, and to what extent could the translation processes deepen the approach itself? This paper addresses such issues in the case of the…

The study involved 2,575 students selected through a combination of probability and non-probability sampling procedures. Explanatory sequential mixed methods design was used. Participants completed the FennemaSherman Mathematics Attitude Scales (FSMAS) to provide the quantitative data for the research. The qualitative data were gathered through…

This research article contributes to the growing literature highlighting the potential for innovation in mathematics education through design cycles that involve creative risk-taking and failure-based learning. Specifically, we explore how "failed" cycles of Story"Circles"--a practice-based professional development approach…

This case study inspected mathematical learning opportunities that employed the results from the participating preservice teachers' (n=75) original visual arts creation process. Data obtained during this study provided empirical evidence for the educational viability of employing original Mondrian-style rectangle sets as a context for generating…

Mathematicians frequently attend their peers' lectures to learn new mathematical content. The goal of this paper is to investigate what mathematicians learned from the lectures. Our research took place at a 2-week workshop on inner model theory, a topic of set theory, which was largely comprised of a series of lectures. We asked the six workshop…

In intervention studies, high rates of "implementation fidelity" are important markers of a study's success; however, the definition of implementation fidelity is both complex and dynamic. In this synthesis, we examined the dimensions of implementation fidelity measured and reported in 99 studies in which researchers utilized a…

Preservice teachers commonly struggle with topics related to fractions, ratio, and proportion. The use of double number lines can facilitate the teaching in these areas and provide autonomy and flexibility in mathematical thinking. Moreover, double number lines support many topics in the curriculum, including unit rate, convenience scaling, and…

Problem solving is the most important factor in mathematics learning. The results of Trends of International Mathematics and Science Study (TIMSS) and Program for International Students Assessment (PISA) show Malaysian students are facing difficulties in problem solving. This study investigates the ability of foundation level students of a public…

This article investigates the knowledge arising in mathematics teachers' planning of how to manage transitions within and beyond dynamic geometry environments in the topic of circle theorems. The notion of situated abstraction is used to elaborate the central TPACK construct within mathematics education and address previous criticisms of the…

This study recruited 428 Singaporean children at risk of math learning difficulties (MLD; M[subscript age] = 83.9 months, SD[subscript age] = 4.35 months; 41% female). Using a factor mixture model that considered both quantitative and qualitative differences in math ability, two qualitatively different groups were identified: one with generalized…

Teachers' emotions while they teach and how these may play out in their students' experience of mathematics lessons is under-researched. Here, we present a proposition for the incorporation of a type of data not typically included in the study of teacher emotions while they teach: physiological data. Specifically, we present our use of a GSR…

Proof facilitates conceptual and meaningful learning in mathematics education rather than rote memorization. In this study, incorrect theorems and proofs are used to assess secondary school pre-service mathematics teachers' proof assessing skills. Using the case study method, the study is conducted on preservice mathematics teachers studying at…

In this paper we follow a hypothetical mathematician who is working on a problem that is eventually solved. We treat this problem as if it were difficult for the mathematician. In following the mathematician's work, we note both what she does and what she doesn't do in the process. By the latter, we consider the times when progress is not being…

The article describes how to derive the equation of curves that are obtained from string art. Conversely, if the equation of a curve is given, one can find the relation between the intercepts either on a rectangular axes, skewed axis, or a circle to trace out these curves. Some of these curves can be easily traced out using the string art if they…