中澳小学数学教材中“图形与几何”领域的比较研究

发布时间：2018-03-11 00:38

本文选题：人教版教材　切入点：澳大利亚版教材　出处：《贵州师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：从20世纪开始,我国数学教育一直在不断改革中。图形与几何与我们的生活密切相连。直观几何和空间认识是我们从小就开始接触认识的,从小学学习中,我们就开始对二维图形和三维图形进行基本的学习。而我们生活的空间,往往可以通过翻折、平移、拼接、描绘、测量等等来认识探索,学生可以通过课本上图形的规律抽象出图形特征,发展空间观念。本论文研究对象是人民教育出版社2004年版1——6年级的数学教科书和澳大利亚小学数学2007年版教材Nelson Maths task book。首先,翻阅不同版本不同年级(中国之间和中外之间)教材的比较研究的相关参考文献,并查阅比较数学“图形与几何”方面的文献;再者,对比研究中国和澳大利亚小学数学总目标和具体目标上的异同;再次,从不同维度(“图形的认识”展开顺序、教材结构、知识呈现方式、例题习题对比)对中澳小学数学教科书中“图形与几何”领域对比分析;最后是针对比较,做出相应的结论不足和建议,为我国小学数学“图形与几何”领域编写教材提供参考。通过研究可以发现两国教材课标都朝着新课改理念发展,重视基本知识和基本技能的掌握,强调对数学过程的学习。通过认识图形,初步发展学生的几何意识;通过测量,让学生感受学习的过程;在图形与变换、图形与位置都要求感知平移、旋转、对称的现象,掌握并能应用确定物体相对位置的方法。
[Abstract]:Since 20th century, mathematics education in China has been under continuous reform. Graphics and geometry are closely related to our life. We begin to learn the basics of 2D and 3D graphics, and the space we live in is often explored through folding, translation, splicing, drawing, measuring, and so on. Students can abstract out graphic features and develop spatial concepts through the rules of graphics in textbooks. This paper focuses on the mathematics textbooks of Grade 1-6 published by the people's Education Publishing House on 2004 and Nelson Maths task book.First of all, Refer to the relative references of the comparative study of different versions of the textbooks for different grades (between China and between China and abroad), and refer to the literature on "Graphics and Geometry" in Comparative Mathematics. Comparative study on the similarities and differences between Chinese and Australian primary school mathematics general goals and specific goals; thirdly, from different dimensions ("the understanding of graphics"), the sequence of development, the structure of teaching materials, the way of knowledge presentation, A comparative analysis of the field of "graphics and geometry" in mathematics textbooks of primary schools in China and Australia. This paper provides a reference for compiling textbooks in the field of "Graphics and Geometry" in primary school mathematics in China. Through the research, we can find that the curriculum standards of the two countries are both developing towards the new concept of curriculum reform, and they attach importance to the mastery of basic knowledge and skills. Emphasizing the study of mathematical process. Developing students' geometric consciousness through understanding graphics; making students feel the process of learning through measurement; perceiving the phenomena of translation, rotation and symmetry in figure and transformation, figure and position. Master and apply the method of determining the relative position of an object.
【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】：G623.5

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