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1教学中对关注推理的现状推理是由一个或几个已知的判断(前提),推导出一个未知的结论的思维过程.其核心就是基于事实说话,即由已知的概念、公理、定理等出发,猜想或推导出未知的结论的思维活动的过程.东北师范大学史宁中教授著《数学思想概论》中这样谈到:数学思想需要满足两个条件:一是数学产生、发展过程中所必须依赖的那些思想;二是学习过数学的人所具有的思维特征.史教授归纳了三种基本数学思想:抽象、推理和模型.通过抽象,把
1 The current situation of reasoning on reasoning in teaching Reasoning is based on one or several known judgments (premise), the process of thinking of an unknown conclusion is derived from the fact that the core is based on the fact that the known concepts, axioms, theorems Such as starting, guessing or deducing the unknown conclusion of thinking activities.Ningbiao Normal University, Professor Shi Ningzhong “Introduction to Mathematical Thought” in this way: Mathematical thinking needs to meet two conditions: First, the mathematical generation and development process Must rely on those ideas; the second is the thinking characteristics of those who have studied mathematics. Professor Shi summarized three basic mathematical ideas: abstraction, reasoning and model through the abstract, the