Informed citizenship in the 21st Century requires individuals to be numerate. In Australia, all teachers are expected to attend to numeracy inherent in the subjects they teach. Many teachers, however, find this approach challenging and may not see potential benefits for subject learning. Drawing on lesson vignettes and post-lesson interviews, a…

This study aims to understand the ways in which problem-based teaching in a mathematics content course can alleviate pre-service elementary school teachers' mathematics anxiety. The significance of this work is to help increase the content and pedagogical knowledge of mathematics education, as outlined in STEM policies. Using a mixed method…

This study evaluates the implementation of a collaborative/game-based learning strategy on final year B.Sc. students focused on reinforcing the Taylor theorem (a mathematical concept previously learned, usually forgotten over time and widely used in chemical engineering) and analyses its effect on their academic performance. To this end, the…

One of the main goals of lower division "service" mathematics courses is to provide STEM-intending students with opportunities to engage in activities and contexts that can support their efforts to apply the mathematical ideas they are learning to successive major courses. The Mathematics Association of America has supported many…

In this paper, we describe the influence of the implementation of methodology for teaching and learning multiple integrals based on the constructivist approach and the interconnectedness of multiple representations (with an emphasis on dynamic representations) for different mathematical objects using GeoGebra's applications Graphing Calculator and…

This article uses the concurrent mixed methods design to explore the errors made by 171 Grade Seven learners in algebraic problem-solving within the Assin Central Municipality in Ghana. The participants were categorized into low-achieving and high-achieving groups based on their performance in a pretest, to help provide a detailed examination of…

This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers' knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers' mathematical knowledge for teaching. An embedded mixed-methods case…

"High Yield Routines 2nd Edition, Grades K-8," is an essential resource for elementary and middle school mathematics teachers seeking to enhance their instructional practices and optimize classroom time. Authored by experienced educators, this book presents effective mathematical routines designed to integrate seamlessly into everyday…

Equivalence is a concept that comes up across the entire K-12 grade span and in many different areas of mathematics. Students who are bureaucratically designated as "English Learners" can explore equivalence across their K-12 academic careers while developing language to connect ideas. Drawing on what is known generally from theory and…

The purpose of this research is to construct a preliminary genetic decomposition delineating the mental constructions underlying probabilistic independence. This delineation is considered within the framework of APOS theory. While the use of the term independence in probability is often conflated with causation, the definition relies instead upon…

This study describes the metacognition profile of female and male mathematics' education students in understanding the concept of integral calculus in the category of classifying and summarizing. This research method was an explorative method with the qualitative approach. The subjects of this study were mathematics education students at the…

Geometry is used in different ways in the teaching of linear algebra. In this paper, I offer a typology of these ways, which I call varieties, and address three central questions. The first question is, "What varieties of use of geometry in the teaching of linear algebra exist?" This question is addressed through an analysis of six…

Mathematical representation has an essential role in solving mathematical problems. However, there are still many mathematics education students who have difficulty in representing ill-structured problems. Even though the ill-structured-problem-solving tasks designed to help mathematics education students understand the relevance and…

This study was designed to micro-analyze the role of the design of interactive diagrams in learning-teaching the concept of the indefinite integral. The presented case study focuses on the engagement of one pair of 17-year-old students with an interactive diagram for graphically learning-teaching the indefinite integral concept. The authors…

This article examines collaborative mathematical tasks that entail sympathetic coordinated movements. We discuss the affective bonds that form when students participate in such tasks. Using Maxine Sheets-Johnstone's term "affectivity" to characterize the responsive nature of bodies, we analyse data from a teaching experiment where…