摘    要：《义务教育数学课程标准（2011版）》强调了“图形与几何”领域的学习，注重发展学生的几何直观和空间观念。数学识图能力是学生的一种基本数学素养和数学能力，数学识图能力的提高有助于学生更好地学习几何、函数等知识，也有助于学生更好地了解生活的空间。

本文主要研究：数学识图能力的界定；数学识图能力在数学学习中的重要意义；初中生数学识图能力的现状；初中生数学识图能力培养过程中的影响因素以及培养原则和方法。

结合前人的研究理论与浙教版初中数学教科书中的知识点，阐述数学识图能力的定义、数学识图能力的重要性以及在初中数学中的运用

通过对绍兴市柯桥区钱清镇中85名初二学生进行问卷测试，考查数学识图能力的六个方面，以此了解中学生数学识图能力的现状，分析存在的问题，提出有效的培养原则与方法。

最后，反思了本研究的一些不足。

Abstract："Compulsory Education Mathematics Curriculum Standard (2011 Edition)" emphasizes the "graphics and geometric" field of learning, focusing on the development of students geometric intuitive and spatial concepts. The maths figure recognition ability is a basic mathematical literacy of students, basic mathematics ability, the improve of maths figure recognition ability helps students to learn geometry, function and other mathematical knowledge better, but also helps students have a better understanding of the space of life. This paper investigates the development of junior high school students' ability to recognize maths figure.

This paper mainly studies: the definition of maths figure recognition ability; the significance of maths figure recognition ability in mathematics learning; The status quo of junior high school students' ability to recognize maths figure; The influencing factors and the cultivation principles and methods of the ability of learning ability of Junior high school students; The influencing factors、the training principles and the cultivation methods of maths figure recognition of Junior high school students.

This paper combines the previous research theories and the knowledge points in textbooks to explain the definition and importance of maths figure recognition ability and its application in junior high school mathematics.

This paper chooses 85 junior high school students in Qianqing middle school as the research subjects and makes a research on their maths figure recognition ability, examines the six aspects of maths figure recognition ability to analyze the situation of junior high school students, and puts forward effective cultivating principles and training methods.

Finally, we reflect on some of the deficiencies of this study.

关键词：初中生； 数学识图能力； 影响因素； 培养原则； 培养方法

Key words：Junior high school students； maths figure recognition ability；   influencing factors； Training principles； cultivation methods

目    录

1、问题的提出 1

1.1研究背景 1

1.2研究意义 1

1.3研究目的 1

1.4研究对象 2

1.5研究问题 2

2、数学识图能力 2

2.1数学识图能力的理论界定 2

2.1.1数学图形的定义 2

2.1.2数学识图能力的定义 3

2.2数学识图能力的重要性 4

2.3数学识图能力在初中数学中的运用 5

3、初中生数学识图能力的调查及现状分析 6

3.1调查设计 6

3.1.1调查对象 6

3.1.2调查内容 6

3.1.3调查方式 7

3.2测试卷的编制 7

3.3测试结果与初中生现状 7

3.3.1 学生对图形大小的判断的测试结果 7

3.3.2 学生对复杂图形与基本图形分解、组合的能力的测试结果 8

3.3.3 学生分析图形变换能力的测试结果 9

3.3.4 学生对立体图形与实际物体的转化及判断物体视图的能力的测试结果 11