The Psychology of Learning Mathematics

ISBN-13: 9783844313062 / Angielski / Miękka / 2011 / 164 str.

Opis

This book overviews concepts, theories and research in the psychology of learning mathematics, including research methodologies. The organising framework is the classification of the central learning outcomes of school mathematics into facts, skills, conceptual structures, general strategies and appreciation. Each component is treated in one or two dedicated chapters. There is a chapter on theoretical and practical aspects of constructivist learning theory, and another on the mathematical processes, strategies, and thinking involved in mathematical problem solving, including meta-cognition. A further chapter treats attitudes to and the appreciation of mathematics. The last two chapters explore a theme that has emerged as important in the psychology of mathematics education in recent years, the impact of context, both task and social context. This concerns the cognitive and psychological significance of both the external representations and situated embodiments of mathematical ideas and tasks, and also their internal, mental representations. It also concerns the links between these two domains including theories of transfer of learning.

O autorze

Paul Ernest is Emeritus Professor at Exeter University, UK, specializing in fundamental questions about mathematics, philosophy, learning and society. His best known books are The Philosophy of Mathematics Education & Social Constructivism as a Philosophy of Mathematics. He edits the free online Philosophy of Mathematics Education Journal.