初中几何演绎推理能力培养的实践研究

发布时间：2017-12-28 18:18

本文关键词：初中几何演绎推理能力培养的实践研究　出处：《湖南师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：几何演绎推理能力,实际上就是学生逻辑论证能力、独立思考能力、创新能力等的综合体现,是一种复合型能力.如何在教学中培养学生的几何演绎推理能力,仍然是困扰着广大教师的一个亟待解决的难题.本研究旨在为培养学生演绎推理能力提供切实可行的方法.通过调查问卷、测试等方式了解当前初中生演绎推理能力的相关情况,通过在教学中采用8种策略,有效提高学生的几何演绎推理能力.主要研究结果如下:第一、初中生对几何演绎推理的主要认知困难及其成因主要有:1、对于几何知识的逻辑关系出现混淆2、对于旋转的理解不够严密3、对于对称的理解不够深入4、对于平移的理解存在很大的困难第二、落实并强化教学策略,切实培养学生演绎推理能力.1、引导学生善于发现题目中包含的知识点并加以运用通过本研究的实践与探索发现,学生只有掌握了基本的几何模型并学以致用,就可以大大提升解决几何难题的速度,同时也可以快速提高学生的演绎推理能力.2、注重解题思路的总结与反思只有通过对各知识点之间的联系与不同之处进行了分析与研究,演绎推理的联想空间将会更加广泛,思维的灵活性才会不断增强.本研究最后根据研究结果提出如下建议:1、调动学生积极性是培养演绎推理能力的前提.2、分阶段培养学生的演绎推理能力.3、在教学中强化8种教学策略培养学生的演绎推理能力.
[Abstract]:Geometric reasoning abilities, is actually a comprehensive reflection of students' logical argumentation ability, independent thinking ability, innovation ability, is a kind of complex ability. How to cultivate students' geometric deductive reasoning ability in teaching, is still an urgent problem plagued the majority of teachers. The purpose of this study is to provide methods for students the feasible deductive reasoning ability to understand the current situation. Students deductive reasoning ability of junior middle school through the questionnaire and test, by using 8 kinds of strategies in teaching and improve students' geometric deductive reasoning ability. The main results are as follows: first, junior high school students have mainly on the main cognitive difficulties and causes of the geometric reasoning 1, for the logical relationship of geometric knowledge confusion, 2 for rotation is not enough to understand the tight 3, not a deep understanding on the symmetry of 4. In the translation of the understanding is very difficult, and strengthen the implementation of second teaching strategies to cultivate students ability of deduction.1, guide students to discover problems contained in the knowledge and use of the practice and exploration of the findings of this study, the students only have the basic geometric model and application, you can greatly enhance the solving geometric problems the speed, but also can improve students' ability of deduction.2, pay attention to summarize and reflection of solving problems only through the connections between knowledge points and the difference is analyzed and studied, deductive reasoning Lenovo space will be more extensive, thinking flexibility will continue to increase. According to the result of the study is put forward as follows recommendations: 1, mobilize the enthusiasm of the students is to cultivate the deductive reasoning ability premise,.2 training in stages of deductive reasoning to students .3, strengthen 8 kinds of teaching strategies to cultivate students' deductive reasoning ability in teaching.
【学位授予单位】：湖南师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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