高中生数学元认知与逻辑思维能力的研究与实践

发布时间：2018-05-29 04:03

本文选题：数学元认知 + 逻辑思维能力　；参考：《华中师范大学》2015年硕士论文

【摘要】：新课标的颁布打破了传统教学中单纯以传授数学知识为主的教学目标,而发展成为既需要重视知识的传授,更需要注重学生自身体验和学习能力的提高。其中,在数学教学中,明确提出要着重培养学生的数学思维能力。而学生数学思维能力发展与逻辑思维能力的提高有着密切关系。近年来,有学者对促进学生逻辑思维能力发展的展开较多研究,并提供相应的教学策略。在对逻辑思维能力的理论研究发现,逻辑思维能力与数学元认知有着密切联系。数学元认知不同于其他认知活动,而是一种作用于认知的认知,具有较高的数学元认知水平能够增强我们思维活动的敏感性,能够提高我们对自己思维活动的把控性,能够促进我们对问题进行更加有效的观察分析和抽象概括,进而提高我们的逻辑思维能力。数学元认知正是为我们培养学生逻辑思维能力开辟的另外一条道路。本文以此为基础,重点研究通过提高学生的数学元认知水平来促进学生逻辑思维能力的提高。在深入研究数学元认知与逻辑思维能力理论的基础上,对高中生当前的数学元认知水平和逻辑思维能力进行相关问卷调查和测试卷调查分析,发现高中生数学元认知水平处于中等位置,逻辑思维能力处于中等偏下水平,优等生的数学元认知水平和逻辑思维能力高于一般学生。通过对此现状了解,提出了符合学生当前认知结构和年龄特点的教学策略,包括加强目标导向性的训练,加强数学思想和方法训练,加强思维训练和进行反思性作业训练等等,用以提高学生当前的数学元认知水平,进而促进学生的逻辑思维能力的发展。并且,在个案研究中对相应的教学策略进行实施,发现学生的数学元认知水平的确有所提高,并且在一定程度上提高了逻辑思维能力。所以,通过提高学生的数学元认知水平的确能够促进学生逻辑思维能力的发展。这为我们今后发展学生的逻辑思维能力提供了另外一条有效途径。
[Abstract]:The promulgation of the new curriculum standard breaks the traditional teaching goal of teaching mathematics knowledge, but it needs to pay attention not only to the teaching of knowledge, but also to the improvement of students' own experience and learning ability. Among them, in mathematics teaching, it is pointed out that emphasis should be placed on cultivating students' mathematical thinking ability. The development of students' mathematical thinking ability is closely related to the improvement of logical thinking ability. In recent years, some scholars have carried out more research on promoting the development of students' logical thinking ability, and provided corresponding teaching strategies. In the theoretical study of logical thinking ability, it is found that logical thinking ability is closely related to mathematical metacognition. Mathematical metacognition is different from other cognitive activities, but it is a kind of cognition that acts on cognition. Having a higher level of mathematical metacognition can enhance the sensitivity of our thinking activities and enhance our control of our own thinking activities. It can promote us to make more effective observation, analysis and abstract generalization of problems, and then improve our logical thinking ability. Mathematical metacognition is another way for us to develop students' logical thinking ability. Based on this, this paper focuses on how to improve students' ability of logical thinking by improving their metacognition of mathematics. On the basis of deeply studying the theory of mathematical metacognition and logical thinking ability, this paper makes a questionnaire survey and an analysis of the current mathematical metacognitive level and logical thinking ability of high school students. It is found that the mathematics metacognition level of high school students is in the middle position, the logical thinking ability is in the middle lower level, and the mathematical metacognitive level and logical thinking ability of the top students are higher than that of the ordinary students. Based on the understanding of the present situation, this paper puts forward some teaching strategies which accord with the students' current cognitive structure and age characteristics, including strengthening the training of goal orientation, strengthening the training of mathematics thought and method, strengthening the training of thinking and carrying out reflective exercises, etc. In order to improve the students' current level of mathematical metacognition, and then promote the development of students' logical thinking ability. Moreover, the corresponding teaching strategies are implemented in the case study, and it is found that the students' metacognitive level of mathematics has been improved, and the logical thinking ability has been improved to a certain extent. Therefore, by improving students' metacognition of mathematics, it can promote the development of students' logical thinking ability. This provides another effective way for us to develop students'logical thinking ability in the future.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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