The development of mathematical reasoning skills has increasingly been of focus for the teaching and learning of mathematics. This research utilizes a teaching simulation using the methodology of scriptwriting, in which prospective teachers are asked to complete a script of a dialogue from a classroom simulation involving fraction multiplication…

This study investigates what mathematicians, who teach academic mathematics courses to secondary school mathematics teachers, want to teach them about the discipline of mathematics. Data sources included interviews with five research mathematicians. The data analysis revealed that expanding teachers' knowledge about the discipline of mathematics…

Based on the expectancy-value perspective on identity and identity formation, this paper explores the relationship between math identity (MI) and the dimensions of motivation (i.e. intrinsic value, attainment value, utility value and perceived competence) and math achievement in primary school. An additional aim of our research was to explore…

The purpose of this study was twofold. First, to explore middle and high school students' intuitively-based (mis)conceptions in probability, particularly availability and representativeness heuristics. Second, to investigate teachers' awareness of these intuitively-based (mis)conceptions and the effectiveness of their instructional practices to…

Preservice mathematics teachers are sometimes trained in programs so that they have both their own courses and joint courses with mathematics majors from the beginning of their studies. While this is thought to provide them with both deep mathematical knowledge and teaching-specific content right from the start, many of them report disaffection…

Explainable recommendation, which provides an explanation about why a quiz is recommended, helps to improve transparency, persuasiveness, and trustworthiness. However, little research examined the effectiveness of the explainable recommender, especially on academic performance. To survey its effectiveness, the authors evaluate the math academic…

The purpose of this quantitative ex post facto study is to determine if and to what extent is there a statistically significant difference in math aptitude, as measured by SAT-Math scores, between African American male and female public high school students enrolled in a STEM program versus those enrolled in a non-STEM program in a high school of…

This scholarly inquiry critically examines the pedagogical aspects pertaining to the instruction and acquisition of Abstract Algebra within the realm of University Mathematics Education (UME). Drawing upon multiple lenses, including epistemological, cognitive, phenomenological, and institutional perspectives, this study investigates the formidable…

Providing an overview of the accumulated scientific knowledge regarding the learning of geometry with dynamic software by pre-service mathematics teachers is currently a pertinent issue in Mathematics Education. The interest in this topic within the field is reflected in the significance attributed to the role of the teacher as a pivotal actor in…

This study delves into the correlation between the beliefs of five university mathematics teachers regarding the teaching of mathematics and their instructional practices. Adopting a case study methodology, this research aimed to thoroughly investigate this relationship. The collection of data was carried out through questionnaires, and the…

In this paper, we investigated the contribution of both cognitive and affective factors to mathematical skills. In particular, we looked at the protective role of self-concept for mathematical learning and performance. In a field study, we tested the relation of math self-concept and short-term visuo-spatial working memory to the mathematical…

Introduction: The 2022 NAEP Mathematics Assessment reported the "largest score declines in NAEP mathematics at grades 4 and 8 since initial assessments in 1990" (NAEP, 2022). More disturbing is that those who could least afford to lose ground lost the most. Gaps based on race, gender, and disability remain virtually unchanged from year…

Students' experience errors in solving proportional problems and prospective teachers' experience were the same thing. Research that explained the wrong strategy for understanding proportional problems still needed to be completed. Objectives to describe the wrong strategies chosen by prospective teachers in solving proportional questions and the…

The development of proportional reasoning is crucial for higher-level mathematical skills. Various studies have demonstrated that the numerical structures of problems have an impact on the strategies used to solve direct proportional problems. This research was conducted to determine eighth grade students' strategies for solving inverse…

This paper describes an interdisciplinary collaboration of faculty and students from chemistry and mathematics to develop and implement an activity showcasing the relevance of calculus in chemistry to first-semester calculus students. The activity focuses on using calculus optimization methods to maximize the ground-state radial probability…