The concept of the limit is often experienced as a very abstract concept. In this study we explore the understanding of the concept of the limit with 74 students who are prospective high school mathematics teachers. The study is located within the first of three calculus courses which they study as part of their bachelor's degree in education at a…

In this article we report on a study focused on revealing and categorizing the arguments that preservice mathematics teachers put forward when they are asked about why mathematics is taught, which is a question closely related to the justification problem in mathematics education. Another focus of the study is the identification of myths within…

The aim of this study is twofold: to determine which knowledge type (procedural or conceptual) is predominant in basic mathematics topics among preservice primary mathematics teachers and the relation between these knowledge types. The study group consisted of 97 freshmen studying at Primary Mathematics Teaching Department. Case study method was…

Combining mathematical and physical understanding in reasoning is difficult, and a growing body of research shows that students experience problems with the combination of physics and mathematics in reasoning beyond the introductory level. We investigated students' reasoning about boundary conditions (BCs) for the diffusion equation by conducting…

Integration is seen as a main factor for students to stay in university and eventually graduate. In conventional lecture-based teaching, students might avoid asking for academic help from teachers, which weakens the student-teacher relationship and distances students from the faculty. To decrease distance and ease integration, more student-centred…

This study reports on in-service mathematics teachers' views of geometry in the context of ethnomathematics. A convergent parallel mixed method design which includes both quantitative and qualitative methods was used to provide a deeper understanding of how the participants view geometry from an ethnomathematics perspective. Questionnaires and…

This study examines how preservice elementary mathematics teachers create patterns, write pattern problems, and prepare and apply lesson plans on this topic. In this context, five preservice elementary mathematics teachers who were in the final semester of their undergraduate education volunteered to participate in this research. The study was…

Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…

Some pre-service mathematics teachers in South Africa are nervous about the content of Euclidean geometry because they did not study Euclidean geometry in high school but will be expected to teach same when they start their teaching career. Because of this, graduating pre-service mathematics teachers were enrolled for a six-week intervention…

This study aimed to examine the impact of game and simulation-based learning environments on the success, concept knowledge, and attitude of prospective teachers regarding probability. The sample of the study consisted of 94 prospective mathematics teachers. The study was conducted in accordance with the quasi-experimental study design and the…

This study used a modified mathematical knowledge for teaching (MKT) framework to compare the "common content knowledge" (CCK) of two groups of purposively selected pre-service primary mathematics teachers (n = 86) in relation to spatial visualization. Specifically, thirty-five pre-service teachers (n[subscript 1] = 35) with a pure…

This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…

Designed for this study as a conceptual framework comprising particular educational approaches and techniques for mathematics teaching and learning, the Successful Mathematics Classroom (SMC) aimed to promote college students' mathematics self-efficacy, motivation, and achievement. Through using a case study methodology, a range of tests and…

In this paper we explore the difficulties engineering undergraduates encounter with tertiary mathematics. Results from our survey (N = 71) show that students in our sample face issues mostly related to the challenging nature of university mathematics, the absence of worked examples during lectures and the discontinuity of school and university…

A growing emphasis on computational thinking worldwide necessitates student proficiency in creating algorithms. Focusing on the use of counterexamples for developing student-invented algorithms, I reanalyze two pieces of data from previously published research, pertaining to two different cases of students' algorithmatizing activity. In both…