Mathematical induction is a powerful method of proof, taught in most undergraduate programs involving mathematics and in secondary schools in some countries. It is also commonly known to be complex and difficult to comprehend. During the last five decades, mathematics education research has produced numerous studies on the learning and teaching of…

This article presents a new teaching method that embraces media production as a principle in education, aimed at effectively conveying the philosophy of mathematics. Based upon this premise, the content of the philosophy of mathematics course was reimagined as a digital newspaper, reminiscent of past printed editions. This transformation was…

Fostering students' mathematical creativity is important for their understanding and success in mathematics courses as well as their persistence in STEM, but it necessitates intentional instructional actions, such as designing and implementing tasks that have the potential to foster creativity. As teaching innovation requires support for…

In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both. In this paper, we show how each approach can be improved by incorporating an aspect of the other, based on a little known synthesis…

This study evaluates the effectiveness of a program aimed at enhancing the confidence and proficiency of prospective teachers in using culturally responsive teaching techniques to effectively instruct mathematics to diverse learners. The study outlines the process and products required during the program. The findings reveal the positive impact of…

Calculus has long been known as a "gateway course" to STEM fields in postsecondary education. To moderate this gatekeeping effect, Montclair State University researchers developed a peer-led, inquiry-based instructional support (IBIS) to run parallel to Calculus classes. The design of the IBIS model was informed by an instructional…

We study the ideas about teaching and learning mathematics that undergraduate students generate when they encounter tasks designed to embed approximations of teaching practice in mathematics courses taken by a general population of students. These tasks attend to the dual goals of developing an understanding of mathematics content and an…

The student experience with mathematical modelling has the potential to differ in nature to the experience of a typical mathematics student. The research reported in this paper forms part of a broader study looking into tertiary learning experiences for mathematical modelling. This paper reports on: What are the student experiences when learning…

This study proposed a low-cost, easy to set up and easy to modify virtual classroom simulation environment, "CartoonClass," and tested its impact on 27 pre-service primary school teachers' noticing development during a semester-long mathematics methods course. The participants' perceptions of using CartoonClass were also examined. A…

Learning is an active enterprise, where three dimensions stand out, cognitive, social, and physical, and, in addition, not all students learn in the same way. Grounded on these ideas, this article reports a study that aims to understand and characterize the performance of pre-service teachers when experiencing active learning strategies during…

Promoting equitable classrooms is a goal of postsecondary mathematics education, but there is still limited research on how faculty learn to teach more equitably. Despite the variety of techniques developed in primary and secondary education, there has been less use in higher education. This manuscript focuses on the 'assigning competence'…

Background: National and international assessments show South Africa's underperformance in mathematics. As many learners already fall behind in the early grades, where foundational number sense should be established, addressing the challenges of number sense in the Foundation Phase (FP) is important. Research recognises the need to better develop…

Quantitative skills are a highly-sought skillset for today's graduates. However, students often misperceive marketing as a soft-skills discipline, leading to a crisis of confidence when faced with quantitative components within the discipline. The Quantitative Competency Development (QCD) innovation aligns with AACSB learning assurance standards,…

Preservice teachers commonly struggle with topics related to fractions, ratio, and proportion. The use of double number lines can facilitate the teaching in these areas and provide autonomy and flexibility in mathematical thinking. Moreover, double number lines support many topics in the curriculum, including unit rate, convenience scaling, and…

In this paper, we discuss our experience in collaborating with mathematicians to increase their use of active learning pedagogy in a proof-based linear algebra course. The mathematicians we worked with valued using active learning pedagogy to increase student engagement but were reluctant to use active learning pedagogy due to time constraints.…