| 基于数学问题解决的模式识别研究述评 |
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| 引用本文： | 于文华.基于数学问题解决的模式识别研究述评[J].数学教育学报,2012(3):11-16. |
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| 作者姓名： | 于文华 |
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| 作者单位： | 山东师范大学数学科学学院 |
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| 基金项目： | 教育部人文社会科学研究青年基金项目——基于数学问题解决的模式识别的认知机理与实验研究(10YJCXLX054) |
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| 摘 要： | 数学问题解决中的模式识别的研究视角,可以分为基于数学解题认知过程与解题策略角度、基于"归类"的视角、基于数学问题解决中模式识别与其他因素的关系的视角等,具体研究领域涉及几何解题中的视觉模式识别、几何问题解决中的模式识别、解代数应用题的认知模式、数学建模中的模式识别等.由于在知觉领域与问题解决领域"模式识别"的表述存在一定的混乱性,将基于数学问题解决的模式识别界定为:当主体接触到数学问题后,与自己认知结构中的某数学问题图式相匹配的思维与认知过程.并进一步通过其与"归类"的区别与联系、与"化归"的区别与联系使"基于数学问题解决的模式识别"的概念得以澄清.在范围上,把问题解决中的模式识别界定为一种思维过程的阶段或者思维策略,认为它是解题的重要组成部分,但并不是解题的全部.对于未来的展望,期望系统的理论研究、期望对学生问题解决中模式识别的认知过程与机理的实质性的研究以及对学生问题解决中模式识别的教学实验研究.
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| 关 键 词： | 数学模式 模式识别 数学问题解决 归类 化归 |
Comments on Researches of Pattern Recognition Based on Mathematical Problem Solving |
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| YU Wen-hua.Comments on Researches of Pattern Recognition Based on Mathematical Problem Solving[J].Journal of Mathematics Education,2012(3):11-16. |
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| Authors: | YU Wen-hua |
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| Institution: | YU Wen-hua(School of Mathematics Science,Shandong Normal University,Shandong Jinan 250000,China) |
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| Abstract: | Studies about pattern recognition based on mathematical problem solving can be in divided into the following angles of views: in the view of mathematical problem solving cognition process and strategies,in the view of "classify",in the view of relationships of pattern recognition based on mathematical problem solving and other factors,etc.Specifically,the fields of the researches involve visual pattern recognition in geometry problem solving,pattern recognition in geometry problem solving,cognitive pattern in solving algebra word problems,and pattern recognition in mathematical modeling.For there are certain chaos on "pattern recognition" in consciousness field and problem solving field,pattern recognition based on mathematical problem solving in this study was defined as a thinking and cognition process of matching a mathematical problem an individual confronts with certain mathematical problem schema in his/her cognitive structure.And the concept "pattern recognition based on mathematical problem solving" was further clarified with compare with "classify" and "conversion",and it was considered as a kind of stage of thinking process or strategy,but not all the things in problem solving.We expect systematic theory research,studies on cognitive process and mechanism and instructional experimental studies of children’s pattern recognition in problem solving in the future. |
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| Keywords: | mathematical pattern pattern recognition pattern recognition based on mathematical problem solving classify conversion |
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