In this article, we analyse a lesson on Thales's theorem in a Chilean secondary school classroom through the combination of two theories: Mathematics Teachers' Specialised Knowledge (ThMTSK) and Mathematical Working Spaces (ThMWS). Both theories, first separately and then in relation to one another, are used to analyse two tasks proposed by the…

Mathematics teacher education has increasingly compelled mathematics teacher educators (MTEs) to take up the challenge of preparing prospective teachers to embrace justice-oriented pedagogies. Given the current climate of growing attacks on critical educators, I argue for the need to make visible and organize the ongoing ways MTEs engage in…

In Chile, mathematics results are insufficient at the school level. To address this problem, the need to rethink teaching has been raised. Evidence indicates that epistemological beliefs are at the basis of pedagogical decisions, and their study has been developed mainly in primary and secondary school teachers. However, scientific evidence is…

In this survey paper we focus on aspects of the quality of teaching mathematics from several perspectives. We differentiate between effective aspects that are empirically proven and more normative ones that constitute "good teaching" but that are highly dependent on context. High quality of mathematics teaching includes characteristics…

We examined the characteristics of video annotations frequently discussed during debriefing conversations as part of video-assisted coaching cycles. We also analyzed how mathematics coaches used written annotations to inject ideas into debriefing conversations when supporting teachers to reflect on important classroom events. Coaches and teachers…

The present study aimed to describe teachers' instructional flows when implementing a mathematical problem-posing task using scriptwriting technique. With matchsticks, a growing pattern that increases by a constant unit was created and presented to the teachers as a problem-posing situation. We analyzed the instructional flows in 50 scripts,…

Comprehending and formulating strategies for geometry problems that require higher-order thinking skills (HOTS) is crucial in enhancing mathematics education. This study implements a qualitative case study approach to comprehend how prospective mathematics teachers with varying Adversity Quotients (AQ) solve geometry Higher-Order Thinking Skill…

This study describes preservice teachers' beliefs about teaching mathematics for social justice (TMSJ) after experiencing a two-part professional development (PD) workshop on the subject. The research question is: To what degree does a PD experience, designed by a preservice teacher, influence preservice teachers' beliefs about TMSJ? The lead…

In this paper we present findings from an initial phase of a more extensive study focussed on ways in which prospective mathematics teachers negotiate meaning from mathematics teacher education situations. The focus of this paper is on the language of one mathematics teacher educator and specifically the interpersonal aspects from one mathematics…

Teaching has long since been understood as a moral and ethical endeavor (e.g., hooks, 1994; Hansen, 2021). It is also widely understood that to be a "good" teacher, teachers must "learn." Teaching requires exquisite responsiveness to students, relationships, content, and the social and political world (e.g., Ball & Cohen,…

This study explores the views of mathematics teachers at Assosa University regarding effective mathematics teaching. The study used a case study method as a mode of inquiry through semi-structured interviews with five mathematics teachers at Assosa University. The data were analyzed thematically. The results showed that mathematics teachers view…

The modeling approach is used to prepare students to become responsible citizens and face the challenges and demands of modern times, mainly when they engage in modeling activities using digital tools. This study investigates the features of digital tools used in modeling processes among prospective teachers. Thirty-two prospective mathematics…

Examples play a variety of roles in proving and disproving. Buchbinder and Zaslavsky (2019) have produced an a priori mathematical framework for assessing students' understanding of the role of examples when proving and disproving universal and existential statements. In this paper, I highlight three important aspects that suggest an extension of…

Curricula in different countries emphasize that teachers implement problem-based learning (PBL) practices to develop students with problem-solving skills and enhance their academic performance. However, several studies have revealed that academic performance among students, particularly in mathematics, is low, particularly in Tanzania. Using a…

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…