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 introduction of large language models (LLMs) may change future pedagogical practices. Current research mainly focuses on the use of LLMs to tutor students, while the exploration of LLMs' potential to assist teachers is limited. Taking high school mathematics as an example, we propose a method that utilizes LLMs to enhance the quality of…

We outline the structure of a term-long graduate course on teaching undergraduate mathematics. We analyze reflections written by the graduate students participating in the course to understand how they experienced the course and how the course impacted their beliefs about teaching. We find that students enjoy the course and find it to be useful.…

Reimagining elementary mathematics pedagogy using a three-step process--See It, Say It, Symbolize It--author Patrick L. Sullivan provides a guide for developing a dynamic and flexible understanding of numbers and operations. By helping students develop a language that is consistent across concepts and connecting it to what is seen and symbolized,…

Coming from a social perspective, we introduce a classroom organizational frame, where students' proofs progress from collaborative construction in small groups, through whole-class presentation at the board by one of the constructors, to a posteriori reflection. This design is informed by a view on proofs as successive social processes in the…

This study draws upon critical bifocality (Chen & Horn, 2022) and intersectional frameworks (Collins, 2019; Crenshaw, 1989) to detail critical consciousness development over time in justice-oriented elementary mathematics educators. Specifically, a Critical Participatory Inquiry (CPI) approach facilitated collective theorizing amongst myself…

This article reports on a framework for collective professional learning and its influence on the development of four early-career mathematics teacher educators as they work to transform their practice. The Collective Reflection for Change (CRC) framework centers on a shared referent to orient collaborative noticing and wondering. Findings from an…

This research explores the impact of integrating Reflective Pedagogy within Mathematical Knowledge for Teaching (MKT), framed by the TPACK model, on enhancing mathematics proficiency in Rwandan Teacher Training Colleges (TTCs). The study involved 433 Year 2 TTC students in the Science and Mathematics Education program using a quasi-experimental…

This research aims to explore both the individual and combined relationships between the use of GeoGebra and productive disposition with students' strategic competence. The use of GeoGebra involves teacher-led activities designed to assist students in managing and engaging with learning, serving as a tool to enhance mathematics learning outcomes.…

Purpose: This study aims to develop a self-reflection scale useful for teachers to improve their skills and to clarify the Japanese teachers' characteristics during mathematics lesson observation (MLO). In MLO, it is important to understand the lesson plan in advance to clarify observation points, and we aim to develop a scale including these…

Research in mathematics education highlights the importance of including modelling for the teaching of this subject. In 2020, this trend coexisted with a grave contingency situation caused by the COVID-19 pandemic but which, despite its negative aspects, provided a realistic and authentic context for modelling. Given this situation, it is relevant…

Technological tools that provide automated feedback on classroom teaching afford a unique opportunity for educators to engage in self-reflection and work towards improvement goals, in particular to ensure that their instructional environment is equitable and productive for students. More information is needed about how teachers experience…

This study answers two research questions: (1) How do 12- and 13-year-old students respond to metacognitive questions posed during a complex task in mathematics or in science and (2) Do these responses differ by discipline? Content analysis was applied to responses collected from 92 students from a French-speaking Belgian school. The results…

Affective and cognitive processes may be jointly researched to better understand mathematics learning, paying special interest to emotions related to knowledge acquisition. However, it remains necessary to explore these processes in studies linked to the education of pre-service mathematics teachers. This study aims to characterize epistemic…

The performance of pre-service teachers (PSTs) is generally assessed during practicum by supervising teachers or observers who may provide subjectively different evaluations known to lack reliability and validity. This article examines a way to shift the evaluative emphasis to use of affective-reflective skills through use of a protocol that also…