Didactical phenomenology of mathematical structures / Hans Freudenthal.

Format:

Book

Author/Creator:

Freudenthal, Hans, 1905-1990.

Series:

Mathematics Education Library, 0924-4921 ; 1

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Physical Description:

1 online resource (607 p.)

Edition:

1st ed. 2002.

Place of Publication:

Boston : Kluwer Academic, 1983.

Language Note:

English

Summary:

The launch of a new book series is always a challenging event not only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delighted that the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction to anyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Educational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but as with Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work in the emerging discipline of mathematics education with an essential resource, and at a time of considerable concern about the whole mathematics curriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.

Contents:

As an Example: Length

The Method

Sets

Natural Numbers

Fractions

Ratio and Proportionality

Structures: In Particular, Geometrical Structures

Putting into Geometrical Contexts

Topology as a Geometrical Context

The Topographical Context

Figures and Configurations

Geometrical Mappings

Measuring by means of Geometry

Topography with Geometry

Negative Numbers and Directed Magnitudes

The Algebraic Language

Functions.

Notes:

Description based upon print version of record.

ISBN:

1-280-20782-5

9786610207824

0-306-47235-X

OCLC:

55664091