MATHEMATICS LESSON ON THE BASIS OF THINKING ACTIVITY THAT DOES NOT RELY ON MATHEMATICAL LANGUAGE

成绩好的学生对逻辑作文活动感到厌烦，成绩差的学生对逻辑作文活动感到厌烦。相反，在先进学生的逻辑作文活动中，往往落后的学生无法促进他们的逻辑作文活动。这是存在个体差异的学生在数学课上最难解决的问题之一。要解决这一难题，确立允许广泛成就差异的数学课程原则是必不可少的。为此，必须明确允许广泛成就差异的具体课程原则。长期以来，教学研究者一直在指出：“儿童在数学课上的逻辑作文活动与数学家的逻辑作文活动在性质上是相同的。此外，弗赖登塔尔在1980年提出了“数学教育的主要问题”的以下含义。本年度的主要研究成果是提出了满足以下（1）和（2）的数学课程原则它以独立于数学语言的思维活动为基础。(1)这是《数学教育的几个重大问题》所要求的教学原则。(2)课程可以允许学生的广泛程度的差异。

Advanced students are bored in the logic composition activities of the students who tend to be behind. On the contrary, in advanced students' logic composition activities, the students who tend to be behind cannot promote their logic composition activities. This is one of the problems with the most difficult solution which hang around the lesson of the mathematics for students with individual difference. In order to solve this difficult problem, establishment of the mathematical lesson principle which permits the difference of broad degree of achievement is indispensable. For that purpose, it is indispensable that the concrete lesson principle which permits the difference of broad degree of achievement is shown.For some time, the researcher of study of instruction has been pointing out the following. "Children's logic composition activities in a mathematical lesson are the same activities as qualitatively as a mathematician's logic composition activities." Moreover, H.Freudenthal raised "Major problem of mathematics education" the following meanings in 1980.Problem : Show a principle of lesson in which the students construct mathematical proposition and its proof by their own efforts.A main research result this year is that we raised the mathematical lesson principle which satisfies the following (1) and (2) which used the thinking activities independent of mathematical language as the base.(1) It is the lesson principle for which "Major Problems of Mathematics Education" asks.(2) The lesson can permit the difference of students' broad degree of achievement.