Writing-intensive and proof-based mathematics courses have a variety of unique course outcomes and challenges. As such, active learning in these courses may differ from what we traditionally expect to see in an "active" first-year calculus course: an interactive in-class activity can be replaced with an out-of-class reading and homework…

Integrating literacy in science and mathematics learning and teaching has been an ongoing endeavour. There are frameworks developed to guide teachers' practices, but little is reported on assessing literacy simultaneously with scientific or mathematical content knowledge. We reviewed the literature on assessing literacy in science and mathematics…

Collaborative learning is a group learning paradigm in which individuals or students work together to solve problems or complete tasks, exemplifying the essence of collective educational efforts. There are a lot of collaborative learning methods available; however, finding one that is suitable for the complex nature of mathematical problem-solving…

Transitioning from material to theoretical geometry is often considered a significant challenge in compulsory education. Over the last twenty years, research rooted in the Theory of Didactical Situations (TDS) has explored how material geometry can support the teaching and learning of theoretical geometry, promoting continuity in teaching. These…

The Pirie-Kieren Model (PKM) was a paradigm shift in theories of learning by presenting a coherent, consistent theory compatible with complexity theory. PKM recognized that learning is non-linear, recursive, iterative, and emergent. PKM was one of the first theories to depart from the linear models of learning that dominated theories of learning…

This research paper examines the application and performance of gamification through the use of Kahoot in elementary Mathematics classrooms. The participants were 10 elementary school Mathematics teachers from across the United States. All data were collected over one semester through interviews questions and, subsequently, findings presented a…

Arguably, the ability to generalize is an essential characteristic of students who succeed in mathematics and computer science. Teachers should be aware of its presence in their classroom and have tools to encourage its existence. Thus, it is important to examine the successful ways that generalization is taught. This systematic review examined…

This literature review covers 42 years and has two main objectives: to identify the obstacles to learning the polar coordinate system and to explore the teaching proposals suggested to overcome them. These questions are answered by locating and analysing articles related to the topic published in research and practitioner journals specialising in…

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 literature review examines the use of photography in educational research and in education, to learn how photography could be better used in teaching and learning mathematics and mathematics education research. The authors analyzed 125 publications published between 1975 and 2023 to identify different research methods and teaching solutions…

Definitions play an integral role in mathematics and mathematics classes. Yet, expectations for definitions and how they are intended to operate, i.e., mathematical norms for definitions, can remain hidden from students and conflict with other discursive norms, explaining differences in mathematicians' and students' understandings of the nature of…

Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. For teachers, this knowledge can be used to help students develop a better understanding of mathematics by making visible the central ideas, and connection across topics and across levels. For students, this knowledge can…

"Elevating clinical practice in mathematics education" has potential to greatly transform the preparation of effective mathematics teachers. In the current climate of education, clinical practice includes: (1) traditional undergraduates in an educator preparation program, (2) post-baccalaureate individuals who have a degree in another…

This study investigates how preservice elementary teachers (PSTs) engage and reflect on two science disciplinary practices: engaging with representations and engaging in evidence-based arguments. In the context of elementary science, teachers blend multiple practices across curricular topics and instruction. However, studies of teachers' use of…

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…