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中文题名:

 数学问题解决策略在中学数学解题中的应用    

姓名:

 吕早    

保密级别:

 公开    

论文语种:

 中文    

学科代码:

 070101    

学科专业:

 数学与应用数学    

学生类型:

 学士    

学位:

 理学学士    

学位年度:

 2019    

学校:

 北京师范大学    

校区:

 北京校区培养    

学院:

 数学科学学院    

第一导师姓名:

 郭衎    

第一导师单位:

 北京师范大学数学系    

提交日期:

 2019-05-20    

答辩日期:

 2019-05-20    

外文题名:

 The Application of Mathematical Problem Solving Strategy in Mathematical Problem Solving in Middle School    

中文关键词:

 中学数学 ; 问题解决 ; 解决策略    

中文摘要:
数学与我们的生活有着密不可分的联系,它发现并且来源于生活,又为我们的日常生活提供服务,是中学学习中的一门重要的学科,新课标中提出,希望通过数学教育,提高学生从数学角度发现和提出问题的能力、分析和解决问题的能力,提高学生对数学的兴趣和自信等[1]。中学里存在一个普遍的现象,学生很努力的学习数学,课堂上老师讲的知识好像都能理解,但是做题时仍然困难重重,特别当遇到题目变式或者教师没有讲过的习题类型时,学生希望通过题海战术以获得理想的分数,然而数学题目千变万化,题海战术既浪费时间又容易让学生产生厌学心理甚至对数学的挫败感,因此,教师需要教给学生一些有效地解题策略。有效地解题策略可以帮助学生快速的知道解题方法,也能锻炼学生的数学思维,使学生在解题过程中体验数学解题的乐趣,从而获得成就感,增强数学自信。本文通过对中外文献的研究,整理和总结出一些中学生在数学解题中的常见策略,如逆向思维、模式识别、化归转化、数形结合、有效增设和差异分析等策略,了解这些策略的概念,并举例进行说明这些策略在解题中的应用,发现解题策略对中学数学解题的作用。
外文摘要:
Mathematics is inextricably linked to our lives. It discovers and comes from life and provides services for our daily lives. It is an important subject in secondary school learning. The intellectual development, proposed in the new curriculum standards, hopes to improve students' ability to discover problems, ask questions, analyze problems and solve problems through mathematics education, and improve students' interest and confidence in mathematics[1] .There is a common phenomenon in middle school. Students study hard mathematics. The knowledge that the teacher speaks in the classroom seems to understand, but it is still difficult to do the problem, especially when encountering problem variants or types of exercises that the teacher did not talk about. Students hope to get the ideal scores through the sea tactics. However, the mathematics topics are ever-changing. The sea tactics are both a waste of time and easy for students to feel tired of learning and even frustrated with mathematics. Therefore, teachers need to teach students some effective solutions. Problem strategy.Effective problem-solving strategies can help students quickly understand the problem-solving methods, and also exercise students' mathematical thinking, so that students can experience the fun of math-solving problems in the process of solving problems, thus gaining a sense of accomplishment and enhancing mathematics confidence. Through the study of Chinese and foreign literatures, this paper sorts out and summarizes some common strategies of middle school students in mathematics problem solving, such as reverse thinking, pattern recognition, transformation of transformation, combination of number and shape, effective addition and difference analysis, and understanding these strategies. Concepts, and examples to illustrate the application of these strategies in solving problems, and find out the role of problem-solving strategies in solving mathematics problems in middle schools.
参考文献总数:

 24    

插图总数:

 3    

插表总数:

 1    

馆藏号:

 本070101/19001    

开放日期:

 2020-07-09    

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