l-hfr2.txt da l-hfr0.htm

HANS FREUDENTHAL
MATHEMATICS AS AN EDUCATIONAL TASK
Dordrecht, Reidel, 1973, pp. xii+ 680

.1  La struttura del libro e`:
    iii        [frontespizio]
    iv         [colophon]
    v          Preface
    xi         Contents
    xii        List of Symbols
    001 I.     The Mathematical Tradition
    017 II.    Mathematics Today
    052 III.   Tradition and Education
    064 IV.    Use and Aim of Mathematics Instruction
    099 V.     The Socratic Method
    109 VI.    Re-invention
    131 VII.   Organization of a Field by Mathematizing
    147 VIII.  Mathematical Rigour 147
    155 IX.    Instruction
    162 X.     The Mathematics Teacher
    170 XI.    The Number Concept - Objective Accesses
    242 XII.   Developing the Number Concept from Intuitive Methods
               to Algorithmizing and Rationalizing
    287 XIII.  Development of the Number Concept - The Algebraic Method
    313 XIV.   Development of the Number Concept - From the Algebraic Principle
               to the Global Organization of Algebra
    332 XV.    Sets and Functions 332
    401 XVI.   The Case of Geometry
    512 XVII.  Analysis
    580 XVIII. Probability and Statistics
    614 XIX.   Logic

    661 Appendix I.  Piaget and the Piaget School's Investigations
                     on the Development of Mathematical Notions
    677 Appendix II. Papers of the Author on Mathematical Instruction