中学数学教学中融入数学竞赛的教学实践研究
发布时间：2018-11-21 07:51
【摘要】：中学数学竞赛一直以来是许多中学生和教师关注的重要内容。通过数学竞赛,学生能领会更多的数学知识与数学思想,激发他们的创造性思维,培养数学素养,感受到数学的博大精深。然而在数学竞赛的开展过程中却存在了一些问题,例如,在关注如何将数学竞赛应用到数学教学中时,老师们往往对在教学过程中怎么融入数学竞赛感到困惑。为了更好的促进数学教学的发展,使数学教学在与数学课程标准紧密结合的背景下,对如何把竞赛的理念、目标、方法与内容等融入数学教学中的实践就显得十分必要,这对提升中学生的数学解题能力、拓展学生的数学思维层次,进而改进数学教学质量等都具有重要义。中学数学竞赛的实质为一种独立于高等数学与初等数学的比赛性质的数学活动,而它分别具有基础性、创造性和发展性的特点。通过梳理数学竞赛和中学数学教学相关文献,发现关于中学数学教学中融入数学竞赛的教学实践研究并不多见,事实上中学数学教是数学竞赛的基础,而数学竞赛是中学数学教学的拓展,两者相辅相成。结合中学数学竞赛大纲,运用文本分析法对近年数学竞赛试题分析发现,不同类型的数学竞赛试题,以不同维度展示了数学竞赛知识诸如组合数学、初等数论、函数方程等在数学解题领域的应用,进而探讨了在中学数学教学中可以增添哪些教学内容。根据数学学习论、数学教学观等有关理论与方法,提出数学教学中融入数学竞赛教学的诸多建议:教学策略上应注重数学建模和数学文化的联系;教学目标上应加强学生的学习兴趣培养、注重思维能力和学习能力提升以及要求凸显数学思想方法;教学方法上应注重一题多解和变式教学的体现;教学内容上应在对中学数学相关内容教学时结合数学竞赛的内容进行拓展,以及教学过程中应注重情境导入、学生交流和课余作业设计等。本文旨在通过对中学数学教学中融入数学竞赛进行的教学实践研究,起到抛砖引玉的目的,以期望能够使更多的专家学者的目光聚焦到数学教学和竞赛中,以不同的角度对数学教学进行更深层次的探究,从而进一步提升师生数学素养,促进我国数学教育的发展。
[Abstract]:Mathematics competition in middle school has always been an important part of the attention of many middle school students and teachers. Through the mathematics competition, students can understand more mathematics knowledge and mathematics thought, stimulate their creative thinking, cultivate mathematics literacy, and feel the broad and profound mathematics. However, there are some problems in the process of mathematics competition. For example, when we pay attention to how to apply mathematics competition to mathematics teaching, teachers often feel confused about how to integrate mathematics competition into the teaching process. In order to promote the development of mathematics teaching, it is necessary to combine mathematics teaching with mathematics curriculum standard, and how to integrate the idea, goal, method and content of competition into the practice of mathematics teaching. It is of great significance to improve the students' ability of solving mathematical problems, to expand the level of students' mathematical thinking, and to improve the quality of mathematics teaching. The essence of mathematics competition in middle school is a kind of mathematics activity which is independent of higher mathematics and elementary mathematics, and it has the characteristics of foundation, creativity and development respectively. By combing the relevant literature of mathematics competition and mathematics teaching in middle school, it is found that there are few researches on the teaching practice of mathematics competition in middle school mathematics teaching. In fact, mathematics teaching in middle school is the foundation of mathematics competition. Mathematics competition is the extension of mathematics teaching in middle school, and they complement each other. Combined with the outline of mathematics competition in middle school, the text analysis method is used to analyze the test questions of mathematics contest in recent years. It is found that different types of mathematical competition questions are displayed in different dimensions, such as combinatorial mathematics, elementary number theory, etc. The application of function equation in the field of mathematical problem solving is discussed, and what teaching contents can be added to mathematics teaching in middle school are discussed. According to the theories and methods of mathematics learning theory and mathematics teaching view, this paper puts forward some suggestions on how to integrate mathematics competition teaching into mathematics teaching: in teaching strategy, we should pay attention to the connection between mathematical modeling and mathematics culture; In the teaching goal, we should strengthen the students' interest in learning, pay attention to the improvement of thinking ability and learning ability, and demand to highlight the mathematical thinking method, and pay attention to the embodiment of the multi-problem and variant teaching in the teaching method. The teaching contents should be expanded in combination with the content of mathematics competition in the teaching of mathematics related contents in middle schools, and the teaching process should pay attention to the introduction of situation, the communication of students and the design of after-school homework, etc. The purpose of this paper is to make more experts and scholars focus on mathematics teaching and competition by studying the teaching practice of mathematics competition in middle school mathematics teaching. In order to further improve the mathematics literacy of teachers and students and promote the development of mathematics education in China, this paper makes a deeper inquiry into mathematics teaching from different angles.
【学位授予单位】：重庆师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
本文编号：2346362
[Abstract]:Mathematics competition in middle school has always been an important part of the attention of many middle school students and teachers. Through the mathematics competition, students can understand more mathematics knowledge and mathematics thought, stimulate their creative thinking, cultivate mathematics literacy, and feel the broad and profound mathematics. However, there are some problems in the process of mathematics competition. For example, when we pay attention to how to apply mathematics competition to mathematics teaching, teachers often feel confused about how to integrate mathematics competition into the teaching process. In order to promote the development of mathematics teaching, it is necessary to combine mathematics teaching with mathematics curriculum standard, and how to integrate the idea, goal, method and content of competition into the practice of mathematics teaching. It is of great significance to improve the students' ability of solving mathematical problems, to expand the level of students' mathematical thinking, and to improve the quality of mathematics teaching. The essence of mathematics competition in middle school is a kind of mathematics activity which is independent of higher mathematics and elementary mathematics, and it has the characteristics of foundation, creativity and development respectively. By combing the relevant literature of mathematics competition and mathematics teaching in middle school, it is found that there are few researches on the teaching practice of mathematics competition in middle school mathematics teaching. In fact, mathematics teaching in middle school is the foundation of mathematics competition. Mathematics competition is the extension of mathematics teaching in middle school, and they complement each other. Combined with the outline of mathematics competition in middle school, the text analysis method is used to analyze the test questions of mathematics contest in recent years. It is found that different types of mathematical competition questions are displayed in different dimensions, such as combinatorial mathematics, elementary number theory, etc. The application of function equation in the field of mathematical problem solving is discussed, and what teaching contents can be added to mathematics teaching in middle school are discussed. According to the theories and methods of mathematics learning theory and mathematics teaching view, this paper puts forward some suggestions on how to integrate mathematics competition teaching into mathematics teaching: in teaching strategy, we should pay attention to the connection between mathematical modeling and mathematics culture; In the teaching goal, we should strengthen the students' interest in learning, pay attention to the improvement of thinking ability and learning ability, and demand to highlight the mathematical thinking method, and pay attention to the embodiment of the multi-problem and variant teaching in the teaching method. The teaching contents should be expanded in combination with the content of mathematics competition in the teaching of mathematics related contents in middle schools, and the teaching process should pay attention to the introduction of situation, the communication of students and the design of after-school homework, etc. The purpose of this paper is to make more experts and scholars focus on mathematics teaching and competition by studying the teaching practice of mathematics competition in middle school mathematics teaching. In order to further improve the mathematics literacy of teachers and students and promote the development of mathematics education in China, this paper makes a deeper inquiry into mathematics teaching from different angles.
【学位授予单位】：重庆师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
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