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高中数学教学难点研究 ——以高中数学必修1为例

【作者】 练琼莺

【导师】 李祎;

【作者基本信息】 福建师范大学, 数学教育, 2018, 硕士

【副题名】以高中数学必修1为例

【摘要】 数学教学难点是指学生不易理解和接受的数学知识,或不易掌握的技能技巧.高中数学教学难点往往出现在知识较为抽象、较为复杂、跳跃性过大等地方,是学生学习过程中的绊脚石,但同时也是发展学生数学思维、提高学生数学素养的好机会.本文首先通过文献研究法、案例分析法等对相关文献进行整理分析,梳理出数学教学难点的特点和类型,提出了确定数学教学难点的途径,给出了处理高中数学教学难点的原则及策略.在此基础上,以高一数学必修一为例,对学生和教师进行了调查研究,了解学生在学习中的认知困难及其成因.最后进行实验研究,对所提出的难点处理的原则及策略进行实践检验.通过研究获得了对数学教学难点的确定及处理的深刻认识,为教师处理高中数学教学难点提供了借鉴与参考,同时也丰富了数学教学难点研究的理论成果.

【Abstract】 Mathematics teaching Difficulties refers to the mathematical knowledge that is not easy to understand,or the mathematical skills that is difficult to master for students.They are the stumbling blocks in the process of students’ learning,but also the good opportunities to develop students’ thinking and to improve students’ mathematical accomplishment.They tend to be in the abstract knowledge,or the knowledge where thinking jumping is too large and so on.By using the methods of literature research and case analyses,this paper firstly organizes and analyzes the relevant literature,then combs out the characteristics and types of mathematics teaching difficulties,and puts forward the ways to determine the difficulties of mathematics teaching.Moreover,this paper gives the principles and tactics to deal with the difficulties of mathematics teaching in senior high school.On these basis,with the high school mathematics compulsory 1 as an example,the author investigates the students and teachers,to know what are the students’ cognitive difficulties in the learning process.Finally,the experimental research is carried out,and the principles and strategies of difficult treatment are tested.Through the research,the author has obtained the profound understanding of mathematics teaching difficulties,and provided the reference for the mathematics teachers to deal with the difficulty of mathematics teaching in senior high school.In some sense,this paper enriches the theoretical achievements of the difficulties in mathematics teaching.

  • 【网络出版投稿人】 福建师范大学
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