Proceedings of the Fourth International Congress on Mathematical Education

Proceedings of the Fourth International Congress on Mathematical Education

Author: M. Zweng

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 740

ISBN-13: 1468482238

DOWNLOAD EBOOK

Henry O. Pollak Chairman of the International Program Committee Bell Laboratories Murray Hill, New Jersey, USA The Fourth International Congress on Mathematics Education was held in Berkeley, California, USA, August 10-16, 1980. Previous Congresses were held in Lyons in 1969, Exeter in 1972, and Karlsruhe in 1976. Attendance at Berkeley was about 1800 full and 500 associate members from about 90 countries; at least half of these come from outside of North America. About 450 persons participated in the program either as speakers or as presiders; approximately 40 percent of these came from the U.S. or Canada. There were four plenary addresses; they were delivered by Hans Freudenthal on major problems of mathematics education, Hermina Sinclair on the relationship between the learning of language and of mathematics, Seymour Papert on the computer as carrier of mathematical culture, and Hua Loo-Keng on popularising and applying mathematical methods. Gearge Polya was the honorary president of the Congress; illness prevented his planned attendence but he sent a brief presentation entitled, "Mathematics Improves the Mind". There was a full program of speakers, panelists, debates, miniconferences, and meetings of working and study groups. In addition, 18 major projects from around the world were invited to make presentations, and various groups representing special areas of concern had the opportunity to meet and to plan their future activities.


Learning and Motivation in the Classroom

Learning and Motivation in the Classroom

Author: Scott G. Paris

Publisher: Routledge

Published: 2017-09-13

Total Pages: 314

ISBN-13: 135174335X

DOWNLOAD EBOOK

Throughout the twentieth century there had been substantial links between scientific psychology and education. Binet, Dewey, Thorndike, and other early pioneers were strongly interested in both realms. Taking advantage of a period of enthusiasm, this title, originally published in 1983, looks at the amalgamation of the recent advances at the time in theory and research in education and psychology, with a particular focus on cognition, motivation and social policy. This volume presents and discusses the implications of this work on learning and motivation for educational policy.


Mathematical Reasoning

Mathematical Reasoning

Author: Raymond Nickerson

Publisher: Taylor & Francis

Published: 2011-02-25

Total Pages: 597

ISBN-13: 1136945393

DOWNLOAD EBOOK

The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.


Handbook of Learning and Cognitive Processes (Volume 5)

Handbook of Learning and Cognitive Processes (Volume 5)

Author: William Estes

Publisher: Psychology Press

Published: 2014-06-20

Total Pages: 350

ISBN-13: 1317672011

DOWNLOAD EBOOK

Originally published in 1978 Volume 5 of this Handbook reflects a single theoretical orientation, that characterized by the term human information processing in the literature at the time, but which ranges over a very broad spectrum of cognitive activities. The first two chapters give some overall picture of the background, goals, method, and limitations of the information-processing approach. The remaining chapters treat in detail some principal areas of application – visual processing, mental chronometry, representation of spatial information in memory, problem solving, and the theory of instruction. The first three volumes of the Handbook presented an overview of the field, followed by treatments of conditioning, behavior theory, and human learning and retention. With the fourth volume, the focus of attention shifted from the domain of learning theory to that of cognitive psychology.


Conceptual and Procedural Knowledge

Conceptual and Procedural Knowledge

Author: James Hiebert

Publisher: Routledge

Published: 2013-08-21

Total Pages: 357

ISBN-13: 1136559833

DOWNLOAD EBOOK

First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.


Mind Bugs

Mind Bugs

Author: Kurt VanLehn

Publisher: MIT Press

Published: 1990

Total Pages: 286

ISBN-13: 9780262220361

DOWNLOAD EBOOK

As children acquire arithmetic skills, they often develop 'bugs'--small, local misconceptions that cause systematic errors. Mind Bugs combines a novel cognitive simulation process with careful hypothesis testing to explore how mathematics students acquire procedural skills in instructional settings, focusing in particular on these procedural misconceptions and what they reveal about the learning process.