Despite the use of axiomatic definitions for mathematical concepts, scholars struggle to produce a single definition of angle that does not have some limitations. Textbooks' treatment of angle and its measure reflects this multifaceted nature of the angle concept while informing the different ways learners conceive of these concepts. In this…

In this paper, we describe how pre-service teachers portray stereotypical mathematics teachers. Using longitudinal data -- from 2007 to 2020 -- of pre-service teachers' drawings (N = 767), we report on four clusters of stereotypical mathematics teachers. In all clusters, we find significant gender differences. Stereotypical teachers in two…

Using a critical race theoretical lens, we examine how South African secondary mathematics teachers of Black students characterised their preparation in the post-apartheid era, how they portrayed good mathematics instruction, and what challenges they identified as barriers to becoming a good mathematics instructor. We found that teachers…

This book is about promising research advancements that sparked directly or indirectly from intellectual contributions by distinguished internationally recognized mathematics educator and researcher, Edward A. Silver. The features of this book include: (1) A focus on the research areas that have benefited from Dr. Silver's intellectual…

High-school mathematics teachers tend to use computational, constructed response questions in their classroom tests. However, the rapid shift to distance learning resulting from the COVID-19 pandemic created technological obstacles to using these items. This study investigated teachers' reasons for using particular items and how they adapted their…

Teaching simulations such as scriptwriting tasks offer a novel way to support pre-service teachers in gaining diagnostic competencies and in guiding students to work through difficulties. We first report on the theory-driven development of a scriptwriting task, specifically the theoretically-founded language- and accompanying content-related…

We present a case study of an elementary teacher, Jen, who transformed her mathematics teaching practice and deepened her conception of angle measure. Employing Teacher Development Experiment methodology, rooted in a constructivist perspective of learning, we analysed sets of pre/post interviews and classroom observations, for two lessons on angle…

Continuing to study mathematics throughout schooling is considered important in most developed countries, where mathematics is incorporated within the curriculum until school-leaving age. By comparison, in England, relatively few post-16 (upper secondary) students study mathematics once it becomes optional. Core Maths qualifications, introduced in…

We report on an action research study conducted by two mathematics teacher educators in the United Kingdom and Hong Kong. The project consisted of three phases, the first two taking place in our respective teacher education courses and a final phase in which prospective mathematics teachers from both locations engaged in dialogue through a…

We give an unconventional, mythopoetic response to the question of Why teach mathematics to all learners in school? In our work with pre-service teachers, we attempt to teach how to value the vulnerability of the multispecies world in a relational, anti-colonial way through passionate immersion, and to use mathematics education towards the ends of…

Generalizing is a critical aspect of mathematics learning, with researchers and policy documents highlighting generalizing as a core mathematical practice. It can also be challenging to foster in class settings, and teachers need access to better resources to teach generalizing, including an understanding of effective forms of instruction. This…

The materials and artefacts used by teachers and students for learning mathematics have always had an important role in mathematics education. Key among such materials are textbooks and teacher guides. The study presented in this paper attempts to investigate the interaction between mathematics teachers and the teacher guide as well as its…

This paper makes an important and original contribution to the updating of methodological approaches to research syntheses. We analysed all 813 Proceedings of the British Society for Research into Learning Mathematics from 2003 to 2018, first using a quantitative corpus-survey and qualitative thematic coding and, again, independently, using topic…

This study investigates associations between mathematics pedagogy and teachers' integration of Information Communication Technologies (ICT). As an early adopter of presentation-oriented hardware and software in mathematics classrooms, England represents a critical case for investigating associations between mathematics pedagogy and teachers'…

This study analyses an online scenario-based instrument in which secondary mathematics teachers from across the United States were presented with episodes of mathematics instruction and then asked to make a decision at a critical juncture. The theory of practical rationality suggests that the decisions of mathematics teachers can be understood as…