| 数学的原创性推理和模仿性推理之差异比较 |
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| 引用本文： | 张伟平,杨玉东.数学的原创性推理和模仿性推理之差异比较[J].数学教育学报,2010(1). |
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| 作者姓名： | 张伟平 杨玉东 |
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| 作者单位： | 上海师范大学数理信息学院;上海市教育科学研究院; |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | 原创性推理 模仿性推理 认知成分 |
Discrepancy of Creative Reasoning and Imitative Reasoning |
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| ZHANG Wei-ping,YANG Yu-dong.Discrepancy of Creative Reasoning and Imitative Reasoning[J].Journal of Mathematics Education,2010(1). |
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| Authors: | ZHANG Wei-ping YANG Yu-dong |
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| Institution: | ZHANG Wei-ping1,YANG Yu-dong2 (1. Mathematics Science College of Shanghai Normal University,Shanghai 200234,China,2. Shanghai Academy of Educational Sciences,Shanghai 200032,China) |
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| Abstract: | 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 disc... |
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| Keywords: | creative reasoning imitative reasoning cognitive factors |
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