Mathematics as an Educational Task

I. The Mathematical Tradition
II. Mathematics Today
III. Tradition and Education
IV. Use and Aim of Mathematical 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 - Objective Accesses
XII. Developing the Number Concept from Intuitive Methods to Algorithmizing and Rationalizing
XIII. Development of the Number Concept - The Algebraic Method
XIV. Development of the Number Concept - 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 School's Investigations on the Development of Mathematical Notions
Appendix II. Papers of the Author on Mathematical Instruction