浙江省中学数学中的不等式方法研究外文翻译资料

浙江省中学数学中的不等式方法研究

不等式在高中数学教学中占有很重要的位置，在实际问题中的应用也非常广泛。它是数学基础理论的重要组成部分和数学研究的重要内容，是刻画现实世界中的不等关系的重要数学模型，是进一步学习数学和解决其他数学问题的基础和有利工具。由于以往研究更多地侧重不等式的性质、解法和证明，偏离了不等式通过具体情境，建立不等观念和抽象不等模型，体会不等式的重要性和实际应用价值等教学目标，更显得对高中“不等式”进行教学研究的必要。因此，探究不等式教学策略，为高中不等式教学提供参考和帮助，是非常具有现实意义的。

本研究主要关注的是高中数学不等式教学方法研究。首先，针对我国当前不等式教学在高中数学中的作用、地位和现状提出研究问题和研究的目的、意义;然后，通过查阅大量书籍和文献资料，对相关研究进行综述、总结和反思;再在深入理解、综合分析高中数学不等式的知识内容及教学目标和近几年高考题中关于不等式知识内容的基础上，结合相关数学教育理论，针对不等式各部分教学内容和知识点，建构如下的高中数学不等式教学策略:设计与生活密切联系的情境问题，衔接初高中不等式知识;注重不等式解法的探索，提高思维能力，增强知识间联系;通过观察推理论证过程，培养学生的抽象思维能力;加强知识的联系，

将实际生活问题数学抽象化;设置典型问题，发现问题本质。以期改进不等式课堂教学，提高学生的学习效率和教师的教学效果，对进行高中不等式教学的教师提供一定的参考作用。使得通过不等式基础知识的学习和基本技能的训练，学生的逻辑推理等思维能力能力以及分析解决问题的综合能力能够得以培养和提升。

Inequality in the high school mathematics teaching occupies a very important position, and in actual application is very extensive. It is an important part of the theory of mathematics and an important part of the study of mathematics; it is the characterizations in the real world of important mathematics model range relationship, it is further study mathematics and solves other mathematics problems in the foundation and the advantageous tool. Because the previous research foucs too much on the nature, solution and proof of the inequalit, deviation from the inequality of the teaching goal: through the specific situation, establish concept and abstract model range, understand the importance of inequality and the practical application value etc. It is more appear to the senior high school 'inequality' teaching research necessary. Therefore, explore inequality teaching strategy, to provide the reference and help inequalities for the high school teaching is very realistic.

This research mainly focus on is the high school mathematics teaching strategy inequality. First, aiming at the current inequality in the high school mathematics teaching the role, status, and the status quo problems，clarifying this study and the purpose, meaning, of the research; Then, by consulting a large number of books and literature material, to reviewed, review and reflection; Again in the understanding and comprehensive analysis of the knowledge of the high school mathematics inequality content and teaching goal and in recent years the university entrance exam questions about inequality knowledge based on the content, according to related mathematics

education theory, for each part teaching contents and inequality of knowledge, construct the following the high school mathematics inequality teaching strategy: Design the life and the close ties to the situation, cohesion junior inequality knowledge; Pay attention to the exploration of the inequality solution, enhance their ability of thinking, enhance the contact between knowledge; Through the observation of reasoning process, cultivate the students ability to think abstractly; Strengthen knowledges contact, make the actual life issues mathematics abstraction; Set the typical problems, to find problems essence. In order to improve the inequality classroom teaching, improve students learning efficiency and teachers teaching effect, to in provide high school teachers of inequality certain reference function. That makes it the basic knowledge of inequality study and the training of basic skills, the cultivation of the students thinking ability and logical reasoning ability and problem solving ability.

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