The Process of Learning Mathematics

The Process of Learning Mathematics

The Commonwealth and International Library: Mathematical Topics

1st Edition - January 1, 1972

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  • Editor: L. R. Chapman
  • eBook ISBN: 9781483140018

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The Process of Learning Mathematics is a collection of essays from a two-term course of intercollegiate lectures for students of B.Ed. degree. This collection starts with two different views on the nature of mathematics. One essay discusses the role of intuition in understanding mathematics, while another paper expounds on the role of logic. This book then discusses the generalization, structure, and approximations used in teaching mathematics, and emphasizes the problems of applied mathematics and technology pertaining to equations of motion, mathematical representation of physical phenomena, or in relations such as conservation of matter. One paper reviews Piaget's studies on the development of children's thinking process, noting that teachers should consider the level of thinking the pupil uses when designing his teaching material. Another essay deals with how the existing knowledge in a student can affect new kinds of learning through assimilation and accommodation. This book then describes the use of symbols and "reflective intelligence," addressing reflective activities, communication, and the contribution of symbols. This text then discusses computer-assisted education and several mathematical teaching or learning experiments. This compendium can prove useful for mathematics majors, educators, school administrators, and math teachers.

Table of Contents

  • Contributors


    The Nature of Mathematics

    The Nature of Mathematics - Another View

    The Role of Intuition

    The Role of Logic

    Generalization and Structure

    Attempts to Investigate the Learning of Mathematics

    The Growth of Logical Thinking

    Schematic Learning

    Reflective Intelligence, and the Use of Symbols

    Motivation, Emotional and Interpersonal Factors

    Investigational Methods

    A Note on Discovery

    Structural Apparatus

    Computer-assisted Instruction

    The Uses of Programmed Material in British Schools and Colleges

    The Midlands Mathematical Experiment

    Scottish Mathematics Group

    School Mathematics Project; the Initial Stages

    Nuffield Foundation Mathematics Teaching Project

Product details

  • No. of pages: 406
  • Language: English
  • Copyright: © Pergamon 1972
  • Published: January 1, 1972
  • Imprint: Pergamon
  • eBook ISBN: 9781483140018

About the Editor

L. R. Chapman

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