Instructors manage several tensions as they engage students in defining, conjecturing, and proving, including building on students' contributions while maintaining the integrity of certain mathematical norms. This paper presents a case study of a teacher-researcher who was particularly skilled in balancing these tensions in a laboratory setting.…

The paper presents findings from a research study of 318 mathematics teachers' experiences of access to, and use of, digital technology in their professional development in marginalised communities in ten districts across Bangladesh. The innovative two-cycle qualitative study design involved early career researchers collaborating with…

With the myriad theories generated through research over the years, a continuing challenge for researchers is to navigate the multitude of theories in order to communicate their research, integrate empirical results, and make progress as a field by building upon empirical research. The Social Unit of Learning project was purposefully designed so…

In this paper, the construct of 'uncertainty' in professional mathematics is investigated in relation to mathematical creativity. Specific focus is on 'Big C' research mathematicians' conceptions of what uncertainty means and ways in which it influences their research. Based on the hypothesis that uncertainty is both a catalyst and a necessary…

Instructors manage several tensions as they support students to engage in mathematical disciplinary practices such as defining, conjecturing, and proving. These tensions include honoring students' contributions while simultaneously apprenticing students to following mathematical norms. I present a case study of a teacher-researcher in a laboratory…

This paper describes a Lesson Study in which in-service mathematics secondary-school teachers, collaborating with researchers, involve grade 10 students in tessellation problems. The data are collected by an experiment carried out in the context of the "Liceo Matematico" project, with three volunteer teachers. The experiment goal was to…

This book is about scientific inquiry. Designed for early and mid-career researchers, it is a practical manual for conducting and communicating high-quality research in (mathematics) education. Based on the authors' extensive experience as researchers, as mentors, and as members of the editorial team for the Journal for Research in Mathematics…

Proof is a fundamental aspect of mathematics. However, in the high school curriculum, it often receives uneven attention that is focused on form rather than understanding. One avenue for addressing this issue is to change and strengthen teachers' conceptions of proof. To explore this idea, we followed a group of teachers as they participated in a…

The purpose of this study was to explore how university researcher professional development design decisions built and sustained K-8 partnerships which foregrounded mathematics in integrated STEM via model-eliciting activities (MEAs). We applied a self-study methodology to facilitate a longitudinal examination of our practice in this multi-year…

In the Hungarian "Guided Discovery" approach to teaching mathematics, teachers' planning work plays a crucial role. Teachers following the approach develop teaching trajectories based on "series of problems". This work includes the choice, creation, transformation, organization and networking of problems with regard to various…

In this dissertation, I K-8 mathematics teacher agency and learning within a research-practice partnership (RPP) context. I asked three primary research questions: (a) How is teacher agency enacted within the RPP?; (b) what do teachers perceive they are learning from their participation in the RPP?; and (c) how is teacher agency connected to…

In this paper, we present the spontaneous and reasoned approaches by a Physicist (B.C.) and a Mathematician (T.B.). Section 1 is by B.C and section 2 is by T.B.

Mathematical resilience is an internal factor in students that is important to have in dealing with learning mathematics. This study aims to design efforts to construct mathematical resilience and develop sainsmatika-based teaching materials in constructing students' mathematical resilience. The research method used is the design method…

Research shows that when students engage with mathematical inquiry their problem-solving skills are strengthened. Demands in the revised Australian curriculum raised problem-solving of new senior secondary mathematics assessment, specifically in Queensland Problem-solving and Modelling Tasks (PSMTs). The challenge for Queensland was to scale…

This study aims to unveil the complexity of introducing and sustaining instructional improvement at a school site by documenting successes and challenges encountered by a research-practice partnership among university researchers, school and district leaders, and a mathematics coordinator from the county office of education. The study answers two…