数学的原创性推理和模仿性推理之差异比较  

Discrepancy of Creative Reasoning and Imitative Reasoning

作　　者：张伟平[1] 杨玉东[2] 

机构地区：[1]上海师范大学数理信息学院,上海200234 [2]上海市教育科学研究院,上海200032

出　　处：《数学教育学报》2010年第1期74-77,共4页Journal of Mathematics Education

基　　金：教育部“十一五”规划青年专项课题——本原性问题驱动课堂教学的应用研究与理论建设(EHA070258);上海师范大学校级科研项目——中美微积分教育比较研究(SK200825)

摘　　要：数学推理有两种截然不同的推理方式：原创性推理和模仿性推理.数学推理的认知成分和结构包括：阅读、分析、探索、计划、实施、验证等6个环节.原创性推理和模仿性推理的差异主要体现在阅读、分析、探索、计划这4个认知成分上,前者更注重深层理解、内在比较、再结构化、适时调整目标,后者更多采用记忆、类比、联结方式作推理动力.换句话说,原创性推理更强调思维的自主性、发散性.教师在教学中应注重学生的原创性自主思维.NCTM of America recognized reasoning and proof as fundamental aspects. So Mathematical education focus on thinking types. The paper discussed the two distinctive reasoning way： creative reasoning and imitative reasoning. Defining two reasoning types and relationship among them, the paper penetrated into arguing the factors and structure of mathematical reasoning sequence which included six tasks, analysis, exploration, planning, implementation, verification. in relation to which the paper addressed the discrimination between creative reasoning and imitative reasoning. On the basis of the empirical research, the suggestion were pointed out by relation to discrepancy between two reasoning types.

关 键 词：原创性推理 模仿性推理 认知成分 

分 类 号：G421[文化科学—课程与教学论]