Intelligence, Learning and Understanding in Mathematics

This volume of papers is to celebrate the life and works of Richard R. Skemp, pioneer mathematics educator, empirical researcher, text-book author, theoretical thinker and practical teacher, who was the first to truly integrate the disciplines of psychology, mathematics and education. It has contributions relating to Richard's work by Zoltan P. Dienes, Pierre van Hiele, Efraim Fischbein and Bracha Muzicant, Bruce Harrison, Gary Davis, Eddie Gray, Michael Mitchelmore and Paul White,...
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This volume of papers is to celebrate the life and works of Richard R. Skemp, pioneer mathematics educator, empirical researcher, text-book author, theoretical thinker and practical teacher, who was the first to truly integrate the disciplines of psychology, mathematics and education. It has contributions relating to Richard's work by Zoltan P. Dienes, Pierre van Hiele, Efraim Fischbein and Bracha Muzicant, Bruce Harrison, Gary Davis, Eddie Gray, Michael Mitchelmore and Paul White, John Olive and Les Steffe, David Pimm, Anna Sfard, Kaye Stacey and Mollie MacGregor, David Tall, Michael Thomas, and two classic papers by Richard Skemp himself. Each author relates their own work to fundamental ideas introduced by Richard Skemp, including reflective intelligence; schemes and schemas; Conceptual-links and Associative-links; modes of building and testing; long-term learning theory abstraction; symbols in mathematics, including procepts (symbols as process and concept) related to Skemp's theory of faux amis; visualisation; and the fundamental ideas of instrumental understanding and relational understanding. We hope that this book will be used by tertiary mathematics educators in their undergraduate and postgraduate courses, as well as by researchers and pre-service teacher educators.