This dissertation report follows a three-paper format, with each paper having a different but related focus. In Paper 1 I discuss conceptual analysis of mathematical ideas relative to its place within cognitive learning theories and research studies. In particular, I highlight specific ways mathematics education research uses conceptual analysis…

Students' construction, coordination, and abstraction of units underlie success across multiple mathematics domains. Structures for coordinating units underscore notions of numbers as composite units (e.g., five is a unit of five and five units of one). In this working group, we seek to facilitate collaboration amongst researchers and educators…

The development of scientific concepts and methods that supported analyses of individual cognition and learning occurred during the 1950s, 1960s, 1970s, and 1980s, with outstanding contributions by Newell and Simon (1972), van Dijk and Kintsch (1983), and others, providing an impressive and rapid scientific advance. At the same time, another…

The aim of this article is to contribute to the understanding and use of the theory of communities of practice. In order to clarify terms, explore applications for education and reflect on various critiques of the theory in the literature, two educational researchers conducted a series of interviews with the theorist Etienne Wenger-Trayner. The…

With COVID-19 continuing to make meeting face-to-face impossible, the Canadian Mathematics Education Study Group/Groupe Canadien d'Étude en Didactique des Mathématiques (CMESG/GCEDM) executive decided that, for the first time, the CMESG/GCEDM meeting would be held virtually. By necessity, the program had to be much compressed with no topic…

This article reviews seven different theories of giftedness that include creativity as a component, comparing and contrasting how each one conceptualizes creativity as a part of giftedness. The functions of creativity vary across the models, suggesting that while the field of gifted education often cites the importance of creativity, the…

In this reflective essay, a teacher educator describes her own transformation that occurred as a result of studying adult learning theory along with a group of doctoral students. In examining her habits of course design, she realized that her practices had departed from her ideals and that her course planning was guided as much by pragmatic…

It is now nearly thirty years since sociocultural theories of learning created great excitement and debate amongst those concerned with learning in diverse contexts. Since that time significant advances have been made in sociocultural theory and research. Various sociocultural approaches to the understanding of learning (for example, sociocultural…

Instructional coach initiatives aimed at teachers' professional development are expanding in reforming school districts across the United States. This study addresses the lack of research regarding the professional development of instructional coaches. Drawing on sociocultural learning theory, specifically a model called the Vygotsky Space, the…

The goal of this article is to examine students' mathematical development that occurs as a teacher works within each of 2 zones of learning: students' zones of proximal development (ZPD) and students' zones of potential construction (ZPC). ZPD, proposed by Vygotsky, is grounded in a social constructivist perspective on learning, whereas ZPC,…

This paper begins with a consideration of some important themes dealt with in the paper by Treagust and Duit. These include the relationship between research on conceptual change and educational practice, the significance of emotion and identity in the process of conceptual change, and role of cognitive conflict in motivating change. I then argue…

This paper presents the results of three experiments conducted in connection with development of a node-link based teaching/learning strategy. In experiment 1, subjects were instructed to either define concepts selected from a unit of introductory psychology or to describe the relationships existing between pairs of concepts. The cognitive…

Five psychologists who have approached the study of learning from different points of view were asked to prepare statements which examined their areas of interest for empirically-based knowledge of relevance to learning as found in the classroom. They presented their viewpoints at a symposium sponsored by Phi Delta Kappa. This book presents the…

Data analysis revealed that a post-organizer had a significant facilitating effect on immediate free-recall in a controlled lecture in college statistics, but no effect on immediate content recognition or delayed free-recall. (MP)

Article supports a duoprocess theory of concept identification which assumes semi-independent and sequential dimension selection and paired-associate learning. (Author)