初高中函数迁移学习的研究

发布时间：2018-04-25 02:21

本文选题：学习迁移 + 初高中　；参考：《贵州师范大学》2015年硕士论文

【摘要】：学习的迁移是指一种学习对另一种学习的影响,进行迁移教学与学习有利于知识的整合与运用。而数学学科相比其他学科,其知识的高度抽象性、严密的逻辑性以及广泛的应用性等特点需要我们建立知识点之间的联系,构建一个整体的数学结构体系。而在数学教育中研究迁移理论并进行教学与学习,便能更好的串接新旧知识并组织数学知识体系,使学生学到的数学知识建立广泛而牢固的联系,从而能更加有效的吸收数学知识并逐渐向自我生产新的数学知识的方向发展。德国数学家克莱因认为:“函数概念,应该成为数学教育的灵魂。以函数概念为中心,将全部数学教材集中在它周围,进行充分的综合。”函数作为数学学习中最为重要且抽象度高的一个庞大知识点,并且拥有一套涉及几何、三角、数列等的体系,所以在初中或高中初次接触函数就显得格外重要。由于初中函数与高中函数引入的过程中有很多联系与区别,所以在初高中函数这个层面可以进行迁移学习,使得学生更加有效的理解函数。本文研究的根本目的是寻找对学生学习函数更为有效的教育方法以及改变教师在教授函数中忽视初高中函数内容迁移学习的教法,从而使迁移学习更广泛的渗透到数学教育中。本文首先对有关迁移的概念以及理论进行阐述,分析在函数方面进行迁移学习的价值;并以初中和高中的函数学习为主体,从教师与学生的角度来研究初中和高中学习函数的联系与区别,从迁移的效果维度(正迁移与负迁移)来对初高中函数的迁移学习进行研究,找到可以发生迁移的部分,并提出相关策略来促进正迁移或抑制负迁移的发生;策略提出后,会挑选两个成绩相当的班级进行实践研究来验证策略的有效性,并通过问卷调查以及访谈法等调查研究来对所提出策略进行结果分析,以保证研究的准确和有效性。
[Abstract]:The transfer of learning refers to the influence of one kind of learning on another kind of learning, and transfer teaching and learning is beneficial to the integration and application of knowledge. Compared with other disciplines, the knowledge of mathematics is highly abstract, strict logic and extensive application of the characteristics of the need for us to establish the relationship between the knowledge points, to build a whole system of mathematical structure. In mathematics education, studying transfer theory and teaching and learning can better connect new and old knowledge and organize mathematical knowledge system, so that students can establish extensive and firm connection of mathematical knowledge. Thus, it can absorb mathematical knowledge more effectively and gradually develop to self-production of new mathematical knowledge. German mathematician Klein thought: "function concept, should become the soul of mathematics education." With the concept of function as the center, the whole mathematics teaching material will be concentrated around it for full synthesis. " As the most important and highly abstract knowledge in mathematics learning, function has a set of systems involving geometry, triangle, sequence and so on, so it is especially important in junior high school or high school. Since there are many connections and differences in the introduction of junior high school function and high school function, the transfer learning can be carried out at the middle and high school function level, so that the students can understand the function more effectively. The basic purpose of this study is to find more effective teaching methods for students' learning functions and to change the teaching methods in which teachers ignore the transfer learning of middle and high school functions, so that transfer learning can be more widely infiltrated into mathematics education. Firstly, this paper expounds the concept and theory of transfer, analyzes the value of transfer learning in function, and takes the function learning of junior middle school and senior middle school as the main body. From the point of view of teachers and students, this paper studies the relationship and difference between junior high school and high school learning functions, and studies the transfer learning of middle and high school functions from the effect dimension of transfer (positive transfer and negative transfer), and finds out the part that can be transferred. And put forward relevant strategies to promote positive transfer or inhibit the occurrence of negative transfer; after the strategy is put forward, we will select two classes with similar grades to carry out practical research to verify the effectiveness of the strategy. In order to ensure the accuracy and effectiveness of the research, the results of the proposed strategies are analyzed through questionnaires and interviews.
【学位授予单位】：贵州师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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