This book represents a pioneering effort to establish mathematical curiosity as its own field of study within mathematics education. The authors take a multifaceted approach, examining curiosity through three key lenses: cognitive (how the mind processes and engages with mathematical concepts), affective (the emotional and motivational aspects of…

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.…

Background: Pedagogical content knowledge (PCK) is presumed to have a significant influence on students' academic outcomes. The theoretical underpinning of this presumption lies in the belief that teachers with high level of PCK are better equipped to deliver high-quality instruction, thereby facilitate student learning and improving their…

In this paper, a simple proof of the Morley's Trisector Theorem is presented which involves basic plane geometry only. The use of backward geometric approach, trigonometry or advanced mathematical techniques is not required. It is suitable for introducing to secondary or undergraduate students, as well as teachers or instructors for learning or…

Coaching teachers is complex work as coaches must navigate multiple and competing roles of expert and colleague. Within mathematics education, there is a lack of research exploring how coaches enact their stance for coaching, balancing the roles of expert and colleague, in ways that best support teacher learning. Furthermore, little is known about…

Prior research highlights the role of number manipulation activities in fostering the early mathematical development of children. This study (N = 1,491) explored the effect of a bear-themed intervention on enhancing arithmetic abilities in kindergarten students. Utilizing a pre- and post-test design, the study compared the advancements of children…

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 study investigates whether the dynamically generated scaffolding provided by experts at the end of each modeling task was used effectively as a scaffold to foster preservice teachers' mathematical modeling competencies. The contingent support at the end of each modeling activity was used as the scaffold to foster preservice teachers'…

Three one-dimensional maps are presented. The maps are analysed with a combination of Feigenbaum diagrams, the calculation of global Lyapunov exponents, and the evaluation of fixed points. It is shown that in certain cases period two orbits can be evaluated by careful observation of the form of the related pairs of equations. A range of classroom…

This study aimed to design and analyze activities that enable students to investigate the probabilities of compound events and the equiprobability bias by a perception-based design that foregrounds sample sets. Drawing on historical insights and prior research, we designed activities to guide students in exploring the probabilities of compound…

Purpose: The purpose of this study was to evaluate the impact of using Imagine Math Facts on student mathematics proficiency. Methods: This retrospective study compared the performance of Grade 1-5 students who used or did not use the Imagine Math Facts program on a standardized assessment of mathematics proficiency. Statistical matching was…

In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.

Gestures are one of the ways in which mathematical cognition is embodied and have been elevated as a potentially important semiotic device in the teaching of mathematics. As such, a better understanding of gestures used during mathematics instruction (including frequency of use, types of gestures, how they are used, and the possible relationship…

The USA established and operated numerous Indian boarding schools nationwide from the late 1800s through the twenty-first century. These government institutions were part of an assimilation and Americanization policy for Indigenous Peoples through education. Previous research has documented how all aspects of the boarding schools' curricula and…

This paper reports findings related to the pursuit of describing a lived knowing for teaching mathematics. Specifically, we used an enactivist perspective to describe the knowing exhibited by three experienced high school teachers in their instructional actions while leading whole-class instruction on the topic of the equations of exponential…