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中文题名:

 高中学困生数学直觉思维能力培养研究——以高三数学复习课教学为例    

姓名:

 王顺燕    

保密级别:

 公开    

论文语种:

 中文    

学科代码:

 045104    

学科专业:

 学科教学(数学)    

学生类型:

 硕士    

学位:

 教育硕士    

学位类型:

 专业学位    

学位年度:

 2020    

校区:

 北京校区培养    

学院:

 数学科学学院    

第一导师姓名:

 曹一鸣    

第一导师单位:

 北京师范大学数学科学学院    

提交日期:

 2019-12-18    

答辩日期:

 2019-12-17    

外文题名:

 A STUDY ON THE CULTIVATION OF MATHEMATICAL INTUITIVE THINKING ABILITY OF HIGH SCHOOL STUDENTS WITH LEARNING DIFFICULTIES——TAKE THE MATHEMATICS REVIEW CLASS TEACHING OF SENIOR THREE AS AN EXAMPLE    

中文关键词:

 直觉思维 ; 数学直觉思维能力 ; 影响因素 ; 培养策略 ; 学困生    

外文关键词:

 Intuitive thinking ; Mathematical intuitive thinking ability ; Influencing factors ; Training strategy ; Student with learning difficulties    

中文摘要:

    数学可以锻炼学生的各种思维能力,因此被人们形象的称为思维的体操。高中数学教育是提升学生思维能力和优化学生思维品质至关重要的阶段,对学生的创新思维具有重要促进作用,而创新思维的培养又离不开直觉思维的培养。然而在传统的数学教学中,重逻辑轻直觉的现象普遍存在,相比较逻辑思维,对直觉思维的研究就显得十分匮乏。不管是对其理论研究还是实践研究,都还停留在一个比较浅显的状态,这对教师的数学教学和学生的数学学习都是非常不利的。

    在前人已有的研究之上,本文首先对直觉思维的历史脉络进行了梳理,并对数学直觉思维概念的界定、特征及意义,还有相关的产生机制作了详细的阐述与分析;其次对高中生数学直觉思维能力发展的影响因素进行理论分析,归纳总结为知识经验、认知结构、思维模式和学习心理四个方面。接着从四个方面的影响因素重点对高三学困生的数学直觉思维能力现状进行问卷调查和测试题测验,再结合自己的教学实践和实例,对高三学困生的数学直觉思维的具体表现进行了现状分析。研究结果发现就高三学困生整体而言,数学直觉思维能力普遍偏弱,并且在影响学生数学直觉思维能力发展的四个维度中,学生在认知结构方面存在的问题最为严重,其他三个维度的情况稍轻一些;最后针对学困生的数学直觉思维能力现状,提出了建构知识系统优化认知结构,创设合适的直觉思维模式情境和培养学生多角度多思维方式解决问题这三个方面的培养策略,并将其应用于教学实践中进行有效性检验,通过对比实验得到这些培养策略对提高学困生的数学直觉思维能力具有积极的促进作用。

 

外文摘要:

    Mathematics can train all kinds of thinking ability of students, so it is called “gymnastics of thinking”. Mathematics education in senior high school is a crucial stage to improve students' thinking ability and optimize their thinking quality, and it also plays an important role in promoting students' creative thinking, while the cultivation of innovative thinking is inseparable from the cultivation of intuitive thinking. However, in the traditional mathematics teaching, the phenomenon of emphasizing logic rather than intuition is quite common. Compared with logical thinking, the research on intuitive thinking is very scarce, both theoretical and practical research still stay in a relatively simple state, which has a negative effect on teachers' mathematics teaching and students' mathematics learning.

    On the basis of previous studies, this paper firstly makes a clear combing of the historical context of intuitive thinking, and makes a detailed elaboration and analysis of the definition, characteristics and significance of mathematical intuitive thinking as well as the associated generating mechanism; Secondly, it analyzes the influencing factors of the development of high school students' mathematical intuitive thinking ability, and sums up four following aspects: knowledge and experience, cognitive structure, thinking mode and learning psychology. Then, from the four influencing factors, questionnaires and test questions were conducted on the current situation of mathematical intuitive thinking ability of students with learning difficulties in senior three. Combined with my own teaching practice and examples, this paper analyzes the current situation of the specific behavior of mathematical intuitive thinking of students with learning difficulties in senior three. The results show that as a whole, the ability of mathematical intuitive thinking is generally weak, and among the four dimensions that affect the development of students' ability of mathematical intuitive thinking, students have the most serious problems in cognitive structure, while the other three dimensions are slightly less; Finallyaccording to the current situation of the students with learning difficulties in mathematical intuitive thinking ability, this paper puts forward three cultivation strategies: construct knowledge system to optimize cognitive structure, create appropriate intuitive thinking mode situation and cultivate students to solve problems from multiple-angle and multiple-thinking, and applies these three strategies to teaching practice for validity check. Through the contrast experiment, it is found that these cultivation strategies play a positive role in improving the mathematical intuitive thinking ability of the students with learning difficulties.

 

参考文献总数:

 36    

作者简介:

 本科与研究生均就读于北京师范大学数学科学学院,现工作于贵阳市第一中学。    

馆藏号:

 硕045104/20038    

开放日期:

 2020-12-18    

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