Author | Freudenthal, Hans. author |
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Title | Mathematics as an Educational Task [electronic resource] / by Hans Freudenthal |
Imprint | Dordrecht : Springer Netherlands, 1973 |
Connect to | http://dx.doi.org/10.1007/978-94-010-2903-2 |
Descript | XII, 680 p. online resource |
I. The Mathematical Tradition -- II. Mathematics Today -- III. Tradition and Education -- IV. Use and Aim of Mathematics Instruction -- V. The Socratic Method -- VI. Re-invention -- VII. Organization of a Field by Mathematizing -- VIII. Mathematical Rigour -- IX. Instruction -- X. The Mathematics Teacher -- XI. The Number Concept โ Objective Accesses -- XII. Developing the Number Concept from Intuitive Methods to Algorithmizing and Rationalizing -- XIII. Development of the Number Concept โ The Algebraic Method -- XIV. Development of the Number Concept โ From the Algebraic Principle to the Global Organization of Algebra -- XV. Sets and Functions -- XVI. The Case of Geometry -- XVII. Analysis -- XVIII. Probability and Statistics -- XIX. Logic -- Appendix I. Piaget and the Piaget Schoolโs Investigations on the Development of Mathematical Notions -- Appendix II. Papers of the Author on Mathematical Instruction