浅谈数学教学中的类比和联想
摘 要
目前，国家正在大力推行素质教育，人们更加重视在教学中的实践，更加重视对学生的专业知识和技能的培养。而数学课程又是一门重要的基础课，更是一门能帮助人们更好地学习，更好地改变人类的生活状态的学科。在数学教学中，最重要的就是解决问题。在数学教学中，怎样提高学生的数学能力，已成为一个热门话题。数学联想和类比思维，不但可以促进学生的其它数学思维发展，还可以让他们变成具备了全面素质的全面人才，还可以让他们在提高高中的数学核心素养方面发挥出巨大的作用。
本文研究旨在可以让学生们的数学联想和类比思维能力得到提高，从而让他们的数学核心素养得到提升，从而让他们变成一个符合时代发展需要的综合型人才。此外，还期望可以给数学老师们的教学带来一些借鉴，从而可以让他们的教学更加高效，从而加速推进素质教育。
关键词：数学思维；数学教学；类比思维；联想思维
On Analogy and Association in Mathematics Teaching
Abstract
At present, the country is vigorously promoting quality education, and people pay more attention to the practice in teaching and the cultivation of students' professional knowledge and skills. Mathematics is an important basic course, and it is also a discipline that can help people learn better and better change the state of human life. In mathematics teaching, the most important thing is to solve problems. In mathematics teaching, how to improve students' mathematical ability has become a hot topic. Mathematical association and analogical thinking can not only promote the development of students' other mathematical thinking, but also enable them to become comprehensive talents with comprehensive qualities. They can also play a significant role in improving the core mathematical literacy of high school.
The purpose of this study is to improve students' mathematical association and analogical thinking abilities, thereby improving their core mathematical literacy, and turning them into comprehensive talents in line with the development needs of the times. In addition, it is also expected to bring some reference to the teaching of mathematics teachers, which can make their teaching more efficient and accelerate the promotion of quality education.
Key words：Times Mathematical thinking; Mathematics teaching; Analogical thinking; Associative thinking
目 录 TOC \o "1-3" \h \z \u
摘 要 2
Abstract 3
引言 1
一、相关理论概述 2
（一）联想 2
（二）数学联想 2
（三）数学联想思维 2
（四）数学联想的法则 2
（五）类比概念的界定 3
（六）类比思想的特征 3
二、培养学生类比和联想思维存在的问题 4
（一）培养学生类比思维存在的问题 4
（二）培养学生联想思维存在的问题 5
三、数学类比思维能力培养建议 5
（一）教师自身素质能力 5
（二）创设类比情境 6
（三）注重知识生成 6
（四）开展小组合作交流 6
四、数学联想思维能力培养建议 7
（一）增强探索兴趣，准备展开联想 7
（二）加强方法训练，积累联想经验 7
（三）思维导图训练，引导联想实施 8
（四）细化联想步骤，串联联想途径 8
五、结论 9
参考文献 10
致 谢 11
摘 要
目前，国家正在大力推行素质教育，人们更加重视在教学中的实践，更加重视对学生的专业知识和技能的培养。而数学课程又是一门重要的基础课，更是一门能帮助人们更好地学习，更好地改变人类的生活状态的学科。在数学教学中，最重要的就是解决问题。在数学教学中，怎样提高学生的数学能力，已成为一个热门话题。数学联想和类比思维，不但可以促进学生的其它数学思维发展，还可以让他们变成具备了全面素质的全面人才，还可以让他们在提高高中的数学核心素养方面发挥出巨大的作用。
本文研究旨在可以让学生们的数学联想和类比思维能力得到提高，从而让他们的数学核心素养得到提升，从而让他们变成一个符合时代发展需要的综合型人才。此外，还期望可以给数学老师们的教学带来一些借鉴，从而可以让他们的教学更加高效，从而加速推进素质教育。
关键词：数学思维；数学教学；类比思维；联想思维
On Analogy and Association in Mathematics Teaching
Abstract
At present, the country is vigorously promoting quality education, and people pay more attention to the practice in teaching and the cultivation of students' professional knowledge and skills. Mathematics is an important basic course, and it is also a discipline that can help people learn better and better change the state of human life. In mathematics teaching, the most important thing is to solve problems. In mathematics teaching, how to improve students' mathematical ability has become a hot topic. Mathematical association and analogical thinking can not only promote the development of students' other mathematical thinking, but also enable them to become comprehensive talents with comprehensive qualities. They can also play a significant role in improving the core mathematical literacy of high school.
The purpose of this study is to improve students' mathematical association and analogical thinking abilities, thereby improving their core mathematical literacy, and turning them into comprehensive talents in line with the development needs of the times. In addition, it is also expected to bring some reference to the teaching of mathematics teachers, which can make their teaching more efficient and accelerate the promotion of quality education.
Key words：Times Mathematical thinking; Mathematics teaching; Analogical thinking; Associative thinking
目 录 TOC \o "1-3" \h \z \u
摘 要 2
Abstract 3
引言 1
一、相关理论概述 2
（一）联想 2
（二）数学联想 2
（三）数学联想思维 2
（四）数学联想的法则 2
（五）类比概念的界定 3
（六）类比思想的特征 3
二、培养学生类比和联想思维存在的问题 4
（一）培养学生类比思维存在的问题 4
（二）培养学生联想思维存在的问题 5
三、数学类比思维能力培养建议 5
（一）教师自身素质能力 5
（二）创设类比情境 6
（三）注重知识生成 6
（四）开展小组合作交流 6
四、数学联想思维能力培养建议 7
（一）增强探索兴趣，准备展开联想 7
（二）加强方法训练，积累联想经验 7
（三）思维导图训练，引导联想实施 8
（四）细化联想步骤，串联联想途径 8
五、结论 9
参考文献 10
致 谢 11
