对学生解代数证明题困难调查的分析及对策的研究

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1、⑨硕士学位论丈MASTER’STHESIS中文摘要本文主要对学生解代数证明题困难的原因进行调查与分析，由此提出相应的对策。在教学工作中发现近几届学生代数推理能力比较弱，而代数证明又具有良好的教育功能，数学课程标准教材对代数推理能力没有削弱，对此产生了困惑，于是我想从现有文献中寻找答案，但是发现在如何培养学生的代数推理能力的方面的文献较少，而且研究得不深入，于是想从这方面做些研究。我从问卷调查开始，收集第一手材料，然后从客观上和主观上进行分析。从客观上分析是教材衔接的原因，从主观上分析是学生在解代数证明题困难的主

2、要原因是运算能力不强，解题的目标意识和思维监控意识较弱，解题习惯不好。针对上述原因，根据思维规律以及元认知理论，我提出了相应的对策：第一、加强基础知识的教学；第二、培养运算能力；第三、优化思维品质；第四、解题目标意识和思维监控意识的培养，与此同时还进行了元认知“自我提问单"的实验，取得了初步的成果。本文创新点是：(1)提出代数证明的解题困难主要是运算与思维两大能力不强的综合结果。(2)提出解代数证明题的元认知“自我提问单’’并取得实验结果。关键词：代数证明；代数推理；思维；运算能力⑨硕士学位论文MASTER’S

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