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数学是一种逻辑推理论证的技艺还是一种合情推理发现的技艺呢?对这个问题的不同回答,反映出不同数学教学取向,选择不同教学途径与教学方式,决定了发挥数学知识教育价值的不同程度与层次.如果回答的是前者,那么就把数学看做是一种结论,教学时就会强调这种结论得来的逻辑过程,从而重在展开带领学生进行逻辑论证思路的探究.如果回答的是后者,那么就强调作为结论的知识形成过程合情推理,它内含于观察、归纳、猜想等发现的心
Mathematics is a logical reasoning argument or a kind of meritorious reasoning skills? The different answers to this question, reflecting different mathematical teaching orientation, choose different ways of teaching and teaching, decided to play the value of mathematical knowledge and education Different degrees and levels.If the answer is the former, then put mathematics as a conclusion, teaching will emphasize the logical process of this conclusion, so as to start to lead students to explore the logic of argument.If The latter answer, then emphasize the reasoning process of knowledge formation as a conclusion, which contains the heart of discovery, induction, conjecture and other discoveries