Despite mandates from 1995 to incorporate Indigenous knowledge in all curricula in Manitoba, secondary mathematic curricula content has very few Indigenous perspectives, and what is provided is limited to viewing Indigenous artwork and architecture through the lens of Western Mathematics. In the spirit of Reconciliation, acknowledging that…

In response to teacher shortages, short-track teacher education programmes have been established for those with academic degrees in mathematics, who often bring their prior professional identities into teacher education. Given the limited time available to pre-service teachers, teacher education becomes critical in challenging individuals from…

Many studies highlighted the importance of mathematical justification in problem-solving. This paper describes students' mathematical justifications for solving derivative problems collaboratively, especially before and after the use of technology was allowed. We asked two undergraduate students who were preservice mathematics teachers in a paired…

The aim of this paper is to contribute to the ongoing discussion about the role of intuition and ambiguity in doing, teaching and learning mathematics. We start by discussing the ways in which limits and continuity are presented in Calculus textbooks, to illustrate some of the ambiguities, and to contrast them with precise and rigorous definitions…

Development of students' argumentative capability in mathematics supports deeper conceptual understanding and reasoning. However, young students often lack the prerequisite communicative competency. This study examines how one teacher supported students in building collective argumentation through an extended mathematical inquiry. Analysis of…

Background/purpose: It is an urgent necessity to identify geometric conceptual errors among students at different levels. These errors cannot be ignored, as they hinder the learning of related concepts. Teachers need to be aware of these errors, which are often embedded in students' cognitive structures, so that they can work on eliminating them…

Teachers play a crucial role as change agents in schools; however, research rarely positions teachers as the implementers of reform. Teachers in classrooms understand the complexity of their context and are well positioned to adapt professional learning to implement change in their schools. Multiple case study, one in Australia and one in Norway…

This paper reports on an innovative project which enhanced professional learning for in-service and pre-service teachers in a regional setting. By fostering collaborative mentor-mentee relationships and co-designing professional development activities, the project improved mathematics teaching practices and student outcomes. Utilising Breakspear's…

Facilitating whole-class discussions based on tasks that support inquiry and provide conceptual learning opportunities has been identified as a central, challenging task of teaching. We drew upon practice-based and interactionist research traditions to decompose how eight experienced Grades 5-7 mathematics teachers facilitated whole-class…

Early mathematics education presents middle-school students with the challenge of adding and subtracting negative integers. This paper reports on results from the experimental implementation of a proposed educational design for integer arithmetic that utilized the number-line (NL) form as a resource for students to enact simple addition and…

Place value competence in early years mathematics is a precursor for success in later grades. In this paper, we analyse the place value visual representations in workbooks from South Africa, Singapore and Australia. A cross-country comparison of curricula materials provides an opportunity to understand similarities and differences in use of visual…

The Reading and Appreciating Mathematical Proofs (RAMP) project seeks to provide novel resources for teaching undergraduate introduction to proof courses centered around reading activities. These reading activities include (1) reading rich proofs to learn new mathematics through proofs as well as to learn how to read proofs for understanding and…

This study explores secondary-school mathematics teachers' noticing of Critical Events Associated with Argumentation (CEAs), moments when students' reasoning or interactions become evident, offering teachers opportunities to promote argumentation in the classroom. Thirty-one teachers analyzed a written classroom scenario, identifying CEAs,…

This research aims to examine recent studies on the dimensions necessary for developing mathematical modelling instruction and established frameworks used in teaching mathematical modelling. The study followed the steps outlined as such: identification, screening, eligibility, inclusion, and data analysis throughout three search engines: ERIC,…

This interpretive cross-case study investigates complexity in the ways teachers frame mistakes and the reasons behind their framing, challenging the assumption in the literature that productive beliefs about errors generate productive error-handling practices, while unproductive beliefs result in unproductive practices. The study draws on…