This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that can be easily integrated into…

Various studies have indicated that incorporating origami activities into a geometry lesson can promote elementary and middle school students' mathematical reasoning, enhance their ability to use precise mathematical terminologies, and increase their communication skills. The authors wondered if origami activities have a place in high school…

The objective of this qualitative research is to study the mathematical work when solving a mathematical task in the domain of probability presented by Chilean high school mathematics teachers in pre-service and in-service training. We consider as theoretical support the Mathematical Working Space model and methodological design of a collective…

According to expectancy-value models, two important motivational constructs are task value and self-efficacy expectations. As students work intensively on mathematical problems in the classroom, teachers need the competence to judge whether students value solving the problem and how confident they are that they will succeed. However, not much is…

This paper reports on an ongoing project aimed at developing an inter-institutional system of professional support for the improvement of the Geometry for Teachers (GeT) courses that mathematics departments teach to preservice secondary teachers. In alignment with the literature on improvement science (see Bryk et al., 2015; Lewis, 2015), it is…

In the post-pandemic world, UNESCO advocates the development of open educational resources (OER) to remedy the financial pressures of students and their families. We thus conducted a dual-cycle action research study aiming to develop a sustainable model with minimal cost for creating OER for secondary school mathematics teachers and students. Our…

The Modelling Dance task is a mathematical modelling task that explores the relationship between mathematics and dance. The authors share the task sequence, adaptations made to support virtual implementation, and evidence of student learning related to learning goals.

In this article, we examine the ways in which the creation of a third space can bridge the divide between coursework and practice for preservice secondary mathematics teachers (PSTs) taking a technology, pedagogy, and content course. A university-based instructor partnered with two high school teachers to create a space in which PSTs draw upon and…

Mathematical dispositions (MD) and self-efficacy for teaching mathematics (SEFTM) are important elements of teachers? beliefs that significantly influence their behaviors and educational practices in the classroom. This study looked at relationships between pre-service teachers? (PSTs) MD and their SEFTM in connection with other descriptors…

Teaching mathematics and science embedded in social justice is not a familiar concept for many teachers, especially pre-service teachers. This qualitative, descriptive, and interpretative study examines the experiences and reflections of 26 middle grade and secondary pre-service mathematics and science teachers on teaching and learning mathematics…

The use of generative AI (Chat GPT) for the process of posing mathematical problems was introduced to 15 pre-service teachers (henceforth referred to as "teachers") in a re-training program aimed at teaching advanced secondary school mathematics. After solving mathematical problems, they were given an assignment to pose and refine…

The narrative permeating higher education institutions globally is the intention to advance the quality of preservice mathematics teachers to gain better performance than mathematics school learners. In this article we report on a qualitative case study which explored the pedagogical content knowledge (PCK) of preservice teachers (PST) (n = 20) at…

The researchers conducted a qualitative analysis of the perceptions of school personnel and pre-service teachers about an Algebra I tutoring program for students with learning disabilities. The researchers surveyed and interviewed the participants about the effectiveness of the program for the mathematics learning of the students with LD at the…

A cohort of pre-service mathematics students was exposed to a teaching strategy based on retrieval practice and test-potentiated learning. The aim of the study was to determine how high and low prior topic knowledge study participants compare in terms of their procedural fluency and conceptual understanding after exposure to the teaching strategy.…

Learners' perspectives on classroom teaching have been explored in various ways. Within the context of past research, the student voice approach has shown the potential of making teaching and learning more effective. This article reports on students' perceptions with the aim of revealing their predispositions in the sense of Bruner's perceptual…