The aim in the current study is to examine the conceptualizations of zero in arithmetic operations among students with learning disabilities (LD) and no learning disabilities (N-LD). The similarities and differences in the understandings of students with LD and N-LD of zero in arithmetical operations will be discussed. The study is a multiple case…

It is critical that elementary students develop understanding of fractional numbers because understanding concepts such as fraction magnitude predict later mathematics success. Representing fractions in multiple ways assists students in developing a sense of fraction magnitude. A systematic approach to presenting multiple representations is the…

Mathematical creativity is considered beneficial for learning mathematics. However, research studies that provide empirical evidence of students' mathematical creativity in regular mathematics classrooms are relatively scarce. This study explores the idea of mini-creativity (mini-c), which is defined as the creative processes involved in the…

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…

The knowledge of math fact fluency skills is crucial for children to develop both related and subsequent necessary math skills. Students require fluency in basic math facts in order to successfully understand and perform more complicated math problems. Research has shown that students demonstrating math skill deficits are likely to have limited…

Zero has been philosophically and symbolically interpreted differently from other numbers throughout history. While it is foundational to all mathematics, in early grades, it is denounced as representing "nothing." In this study, the understanding of zero among students with learning disabilities (LD) and no learning disabilities (NLD)…

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'…

This paper reports on a study that explored the subject and pedagogical content knowledge displayed by high school mathematics teachers in the Khomas education region in Namibia. The study was based on a quantitative approach using a survey design. A stratified random sampling method was used to select the participants in all the four school…

The purpose of this study is to explore the expressions of confidence by a group of South African mathematics teachers about teaching mathematics and statistics concepts from various perspectives. The participants were 75 mathematics teachers who were teaching Grades 4 to 12 in KwaZulu-Natal (KZN) schools. They then were asked to express their…

The aim of this study is to determine the effect of the use of concept cartoons on the academic achievements of students in a mathematics course. The model of the research is based on a quasi-experimental design from quantitative research methods and supported by an interview from the qualitative methods. The purpose of qualitative data collected…

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…

This article analyzes elementary school students' didactical situation in traditional games through ethnomathematics learning. The conventional game studied was "Endog-Endogan" or egg games from the Sundanese culture, West Java, Indonesia. This qualitative and quantitative study applied the design of the didactic learning stage. The…

When students see mathematics as an integrated field of study, they make connections, gain a deeper understanding of mathematical concepts, and see mathematics as a whole rather than disconnected, unrelated ideas. Measurement concepts are the perfect "seed to plant" to show how different mathematical strands integrate within other…

In this article, the author presents a Desmos activity where students adjust the measures of angles in radians to reposition a laser and a mirror so the beam passes through three stationary targets. This Radian Lasers activity can be extended to simulate project-based learning (PBL), a pedagogical approach for applying concepts and skills from…

In this paper, we describe an experiment in using history to work on problem-solving and the relationship between arithmetic and algebra. The students involved attended the first year of the Italian upper secondary school (grade 9). The original sources we used are problems from Italian treatises on arithmetic and algebra that appeared in the…