Mathematics as an Educational Task
Mathematics as an Educational Task
复制标题
数学作为一项教育任务
DOI：
10.2307/3617810
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发表时间：
1972
影响因子：
8.8
通讯作者：
H. Freudenthal
中科院分区：
文献类型：
--
作者：
H. Freudenthal
I.数学传统-二.今天的数学三.传统与教育四.数学教学的目的和用途。第五章苏格拉底的方法六.再创造。-七.通过数学化来组织一个领域。八.数学严谨。九.指示。- X.数学老师-十一.数字概念-目标访问。十二.发展数的概念，从直观的方法，以promimizing和promimizing。十三.数字概念的发展-代数方法。十四.数字概念的发展-从代数原理到代数的全球组织。十五.集合和函数。十六.几何学的案例十七.分析。-十八.概率与统计十九.逻辑。-附录I.皮亚杰和皮亚杰学派对数学概念发展的研究附录二作者的论文在数学教学。
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 - 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.