In this article the authors explain that when engaging in a problem-solving conversation with a child, their goal goes beyond helping the child reach a correct answer. They want to learn about the child's mathematical thinking, support that thinking, and extend it as far as possible. This exploration of children's thinking is central to…

This study focuses on students' use of the mathematical concept of differentials in physics problem solving. For instance, in electrostatics, students need to set up an integral to find the electric field due to a charged bar, an activity that involves the application of mathematical differentials (e.g., "dr," "dq"). In this…

A growing body of research has examined the experiential grounding of scientific thought and the role of experiential intuitive knowledge in science learning. Meanwhile, research in cognitive linguistics has identified many "conceptual metaphors" (CMs), metaphorical mappings between abstract concepts and experiential source domains,…

This article critically reviews the extant literature on scientific creativity and metaphorical thinking. Metaphorical thinking is based on a conceptual transfer of relationships or mapping, from a well-known source domain to a poorly known target domain, which could result in creative outcomes in sciences. Creativity leads to products that are…

Background: Language has been shown to play a critical role in social cognitive reasoning in preschool and school-aged children, but little research has been conducted with adolescents. During adolescence, the ability to understand figurative language becomes increasingly important for social relationships and may affect social adjustment. This…

This submission contains the Proceedings of the 2014 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Alberta in Edmonton, Alberta. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

In order to investigate the nature of metaphoric generation, comprehension, and appreciation, 8 different groups of 16 subjects were asked to rate each of 20 terms within each of 8 categories (United States historical figures, modern world leaders, mammals, birds, fish, airplanes, land vehicles, and ships) on 21 scales such as "warlike…

This paper reports on five students' explorations of structural relationships between problem situations that they worked on over several years as participants in a long-term study. In particular, we describe the case of students who recognized isomorphisms between and among two problem situations and who used particular features of the problems…

Defends the role of humanities instruction in the education of engineering undergraduates in the areas of problem solving, risk taking, and the synthesis of metaphors and symbols. (AEA)

In this paper our first purpose is to outline a way of thinking about organizations and administration that has recently been gaining ground among theoreticians and practitioners, one that is portrayed frequently as a replacement for the well established newtonian or systems perspective. This way of thinking is the quantum perspective. Our second…

The overall intention of this project was to enhance awareness, for those involved with persons on the autism spectrum, of cognitive behaviour therapy (CBT) strategies for treating persons with autism spectrum disorders (ASD). The project involved a literature review on autism and the use of CBT strategies for people with autism spectrum disorders…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…