关于数学的学术形态和教育形态——谈“火热的思考”与“冰冷的美丽”

Mathematics: the Academic for Mand the Educational Form

数学知识需要形式化的表述,但学生掌握数学知识必须经过朴素而火热的思考.教师的责任是返璞归真,运用适度的非形式化方法,将数学的学术形态转化为教育形态,展现数学的魅力,激起学生学习数学的热情.为此,在教学中应注意:(1)把数学教材中形式化的表述顺序颠倒过来;(2)认识到学生对数学的思考往往来自于个别范例和具体活动;(3)帮助学生揭示数学的内在联结;(4)将火热的思考提高到“数学思想方法”

Mathematical knowledge had two forms: academic and educational. Mathematics teacher should transfer the deductive,formal and academic the matics to the simple, informal and educational mathematics. Then students would fall into hot thinking.After that they also were able to enjoy the ice beauty of mathematics. Some examples were presented.