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前苏联数学教育家斯托利亚尔指出:“数学教学是思维活动的教学”.因此,充分暴露数学思维过程应成为数学教师的重要任务.数学教学活动中存在三种思维活动,即数学家思维活动、教师思维活动、学生思维活动.其关系如图:数学家的思维活动→备课教师的思维活动上课幑幐反馈学生的思维活动其中数学家的思维活动或隐或显地存在于教材中.但由于教材的局限性,其呈现方式在一定程度上有时需要颠倒甚至删去数学家发现知识的过程,这样就常常会掩盖数学思维活动
Stollal, a former Soviet mathematical educator, pointed out: “Mathematics teaching is the teaching of thinking activities.” Therefore, fully exposing the process of mathematical thinking should be an important task for mathematics teachers. There are three kinds of thinking activities in mathematics teaching activities, namely Mathematician thinking activities, teacher thinking activities, student thinking activities. The relationship shown in Figure: mathematicians thinking activities → prepare teachers thinking activities class 幑 幐 feedback student’s thinking activities in which the mathematician’s thinking activities or implicit or obvious existence However, due to the limitations of teaching materials, the way of presentation sometimes needs to be reversed or even eliminated by mathematicians to find out the knowledge, which often masks mathematical thinking activities