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 use of visual representations (VRs) in mathematics is a strongly recommended practice in special education. Although recommended, little is known about special educators' knowledge of and instructional emphasis about VRs. Therefore, in this study, the authors examined special educators' own knowledge of and their instructional emphasis with…

Preservice teachers (PSTs) must be able to link content, effective teaching practices, and student learning; thus, it is critical for teacher educators to emphasize connections between research and practice in methods courses. Reflection plays an important role in this process. In this article, the authors discuss and illustrate a vignette…

The study explored the curriculum guidelines and primary school teachers' conceptions and practices of the Multiple Solutions Approach (MSA) in teaching mathematics using basic qualitative research design. Informal conversation interviews (ICIs), observations, video and document analyses were used to collect data. Participants included a purposive…

From the 1990s until 2017 the High Ability and Inquiry Research Group (HAIR) at McGill University in Montreal, received C$1.3M in research funds from Canadian, Quebec, and US agencies to support its research and graduate training in education and educational psychology. Their research encompassed two principal areas, Inquiry in Education and…

In this article the authors describe their efforts to support teachers' development of deep, connected understandings of school mathematics and to find ways to make use of the teachers' learning as a context for subsequent mathematical and pedagogical development. The authors detail the evolution of their model for Online Asynchronous…

The research article in this article is part of a larger study that examines an initiative to expand teacher expertise in facilitating mathematical problem solving within the framework of developing and field-testing pedagogical resources. We focus on one year of the study and report on the complex process of professional development as teachers…

This study offers an analysis of the learning of practicing teachers as they acquire a deeper knowledge of mathematics. While some professional developers have shifted part of their focus to helping practicing teachers acquire a deeper knowledge of mathematics (e.g., Stein & Silver, 1996), the results from studies often describe what translates…

This book supports primary teachers' early professional development and learning, tackling key questions and concerns that new teachers might face in their early careers, such as: How will I get through the first term? When will I feel like a "real" teacher? What can I expect from my first years in teaching? Drawing on the experiences of beginning…

This study explored fourth-grade teachers' understanding of mathematical problem solving, an aspect of the Vermont portfolio assessment program that has been largely ignored. Teachers' conceptions of problem solving, their knowledge of problem-solving strategies, their selection and evaluation of problem-solving tasks, and their instructional…

As part of the usual end of year meeting that has been a feature of the National Center for Engineering and Technology Education (NCETE) project, a conference intending to provide a forum for young voices in an outside of the Center was organized. The basic model for the gathering was borrowed from track and field. This was to be an intellectual…