Didactical phenomenology of mathematical structures
Author(s)
Bibliographic Information
Didactical phenomenology of mathematical structures
（Mathematics education library）
D. Reidel Pub. Co., c1983
- : hard
- : pbk
Available at / 58 libraries
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Library of Education, National Institute for Educational Policy Research
: hard510.7||112032412541
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Note
"List of the author's publications on mathematics education": p. 579-585
Includes index
Description and Table of Contents
Description
The launch ofa new book series is always a challenging eventn ot 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 delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone 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 Edu cational 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 aswith 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 int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.
Table of 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.
by "Nielsen BookData"