Chapter 4 Gerald a . Goldin Affect , Meta - Affect , and Mathematical Belief Structures

Affect and Meta-affect in Mathematical Problem Solving: a Representational Perspective

We discuss a research-based theoretical framework based on affect as an internal representational system. Key ideas include the concepts of meta-affect and affective structures, and the constructs of mathematical intimacy and mathematical integrity. We understand these as fundamental to powerful mathematical problem solving, and deserving of closer attention by educators. In a study of elementa...

Chapter 9 Affective Coherence : Affect as Embodied

In this chapter, we review behavioral research connecting affective embodiment and evaluative cognition. We argue that affect and belief exist in a dynamic relationship. Evaluative beliefs elicit affective experience, and affective experience provides data for evaluative conception. We propose that such reciprocal relationships exist because emotions are, in part, embodiments of evaluation. Tha...

PERSPECTIVES ON EMOTION IN MATHEMATICAL ENGAGEMENT , LEARNING , AND PROBLEM SOLVING Gerald

Representations , Inscriptions , Descriptions and Learning : A Kaleidoscope of Windows

My task is to reflect on the papers in the two Special Issues on "Representations and the Psychology of Mathematics Education," Journal of Mathematical Behavior Vol. 17, Numbers 1 and 2, especially to find common themes and opportunities for further progress. The papers were produced independently, but were based on and influenced by the discussions in the PME Working Group on Representations f...

The Role of Mathematics on Human Structure

This book explores the mathematical view of selected body systems and organs and as claimed by its author, “it has an objective to facilitate modern treatment with mathematical precision.”The author, Dr. Adhikari has PhD in mathematics and is the Head of the Institution and Department of Mathematics, Ghusuri Uchcha Madhyamic Vidyalaya, West Bengal, India. The motivation of the author in writing...