化归思想在小学数学教学中的应用研究

发布时间：2018-06-27 16:07

本文选题：化归思想 + 小学数学　；参考：《杭州师范大学》2015年硕士论文

【摘要】：数学思想方法是人们从具体数学内容中提炼出来的对数学知识的本质认识,是研究和解决数学问题过程中所采用的手段、途径和方式。化归思想作为数学中最基本、最常用的思想方法之一。当前对化归定义、方法、原则的研究都有了一定的理论深度,但对化归思想方法教学的研究相对薄弱,多数小学数学教师还停留在只重视学生知识与技能的学习和训练,忽略对数学知识中蕴含的数学思想方法的理解和传授的过程。本文主要研究化归思想在小学数学教材体例中的体现和在课堂教学中的运用。首先从数学思想和数学方法、化归的概念入手,以学习迁移理论、有意义学习理论以及发现学习理论为研究的关联理论,结合小学数学归纳整理化归的类型、原则及认识化归在数学教学中的重要作用。其次对小学数学教材中“数与代数”、“图形与几何”的体例中蕴含化归思想的内容进行了分析整理,研究阐述了化归思想在小学数学教学中和解题过程中的具体运用,并解读了优秀教学案例中化归思想的应用情况。
[Abstract]:The mathematical thought method is the essential understanding of the mathematical knowledge extracted from the specific mathematical content. It is the means, the way and the way to be used in the process of studying and solving the mathematical problems. The thought is one of the most basic and most common thought methods in mathematics. The theoretical depth of the theory is relatively weak. Most of the primary school mathematics teachers still pay attention to the learning and training of the students' knowledge and skills, and ignore the understanding and imparting process of mathematical thought and methods contained in the mathematical knowledge. This paper mainly studies the body of the primary school mathematics teaching materials. The present and the application in the classroom teaching. First, starting with the concept of mathematical thinking and mathematical methods, starting with the concept of "learning transfer", "meaning learning theory" and "discovery learning theory" theory of association, combined with the type of primary school mathematics induction and classification, principle and recognition in the important role of mathematics teaching. The contents of "number and Algebra" and "graphics and geometry" in the mathematics teaching materials are analyzed and arranged. The application of Hua GUI thought in the course of primary school mathematics teaching and solving the problem is expounded, and the application of the thought in the excellent teaching cases is interpreted.
【学位授予单位】：杭州师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G623.5

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