In an attempt to improve Technological Pedagogical Content Knowledge (TPACK), prospective mathematics teachers (N=52) were trained in creating technology-based mathematics teaching materials. They learned visual programming, worked in pairs and created mathematics stories, which are intended to improve fourth grade students' mathematics word…

Although professional organizations such as the National Council of Teachers of Mathematics (NCTM) continue to push for the role of equity inside of mathematics classrooms, the need for culturally relevant pedagogy (CRP) remains just as necessary today as it has for the last two decades. In this study, the authors share ways in which one…

Gifted students need a form of special education through extracurricular and learning experiences because they have extraordinary potential in terms of intelligence, creativity, social and mentality, compared to other students. This study aims to investigate various teaching and learning approaches designed for gifted students, and to constitute…

The purpose of this study was to examine the effectiveness of video-based mathematics instruction for seven middle school students with specific learning disability (SLD), using an augmented reality-based training package. The dependent variable was the percentage of steps students performed correctly to solve each type of mathematics problem. The…

In the effort to create a multiculturally sensitive citizenry, addressing issues of immigration is critical in today's schools and society. Mathematics and social studies are subjects sensitive to the cultural and population shifts of society. Since STEM subjects and skills are what drive the 21st century classroom today, it is important that…

In this paper, we report on the cross-cultural comparative analysis that was undertaken as part of the Social Unit of Learning project investigating student collaborative problem solving in China and Australia. The video-based research examined the 'negotiative foci' of dyadic student interaction during collaborative problem solving within the…

The goal of this study is to characterize how pre-service teachers recognize students' reasoning, based in the unitizing process, when students solve ratio comparison problems and, how they consider the unitizing process as a Key Development Understanding to propose teaching decisions. Ninety-one pre-service primary teachers interpreted primary…

Concerns about the influence of misconceptions, culture and social setting on probabilistic reasoning of teacher trainees led to a study in this area to explore the reasoning of preservice teachers from a college of education in Ghana. This study investigates preservice teachers' misconceptions and difficulties in probabilistic problems solving…

Several publishing companies now offer competing brands of online homework (OHW) software. Students rarely have a voice in choosing their required course materials, even though, ultimately, they will be asked to use and pay for these systems. In this study, Calculus I students each tested three different OHW systems. The students were then asked…

This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this…

Using data from teaching experiments and theories from quantitative reasoning, we built second-order accounts of students' mathematics with regards to how they conceived rate of change through operating on existing quantities. In this report, we explain three different ways STEM undergraduates structurally conceive rate of change as they…

This study enquires into the embodied processes of children in solving multiplication tasks, considering how such processes can expand access to spatial reasoning skills and simultaneously develop students' understanding of multiplication. The analysis focused on four Year 2 students as they completed two embodied tasks. The aim was to understand…

This article revisits and expands upon a previous phenomenographic study characterising the qualitatively different ways in which South African undergraduate physics students may experience the use of +/- signs in one-dimensional kinematics (1DK). We find the original categorisation as applicable for interpreting Swedish university-level students'…

The literature describes different stances concerning the focus on how mathematics should be taught, with some preferring a conceptual knowledge approach and others a procedural knowledge approach. The current study investigated the relationship between students' conceptual and procedural knowledge in a calculus context. To better understand the…

The purpose of this study was to examine how pre-service mathematics teachers (PMTs) integrated a dynamic geometry environment (DGE) into their reasoning process while solving geometric locus problems. Task-based interviews based on the locus problems were conducted with eight PMTs working in pairs. The PMTs could use a computer with access to…