高中概率教学研究

发布时间：2018-04-09 07:02

本文选题：高中概率　切入点：合情推理　出处：《内蒙古师范大学》2013年硕士论文

【摘要】：随机思想已经成为现代公民生活必不可少的基本素质之一。现阶段使用的人民教育出版社出版的普通高中课程标准实验教科书中，将概率做为必学内容编入。在我国，概率正式进入中小学数学教学课程的时间较晚，相对于代数、几何而言，关于对其进行教学研究的较少，作为现行高中数学课程的重要内容，，如何更好地进行概率教学，需要我们认真进行研究。本文共分为五章内容，具体内容为：一、导论。主要阐述了研究背景、研究的目的和意义、国内外研究现状、研究方法以及创新之处等基本内容。二、合情推理的理论探究。主要介绍了合情推理的概念界定以及分类，为后续研究提供方法依据。三、高中概率教学调查分析。主要通过对学生的调查以及对教师的访谈了解现阶段高中概率教学存在的问题。四、高中概率教学中应用合情推理的教学策略及教学案例。用试验、观察、类比、归纳、猜想等合情推理的方法分别对高中概率的概念、公式以及解题三个方面提出一些基本的教学策略。在此基础上，对概率中的基本概念进行教学设计并进行教学实验。实验结果表明采用合情推理的方法对高中概率进行教学可以起到积极的作用。五、结论与建议。通过调查和教学实验，了解到采用观察、试验、归纳、类比、猜想等合情推理的一些方法可以提高学生的学习兴趣，激发学生的思维活动，从而提高课堂教学效率。并在此基础上针对高中概率教学提出了教学建议。概率研究的对象是随机现象，它与我们平时学习的确定性数学知识有很大的区别，为了使高中生更好地学习概率知识，教学中应注重学生基础知识的形成，尽量向同学们展现基础知识的产生过程，揭示问题的本质，建立概率模型，这样才能为学生的后继学习打下良好的基础。
[Abstract]:Random thought has become one of the essential qualities of modern citizen life.Probability is included in the standard experiment textbook of high school curriculum published by the people's Education Publishing House at this stage.In our country, the probability formally entered the mathematics teaching course of primary and secondary schools later, compared with algebra and geometry, the teaching and research on it is less, as an important content of the current senior high school mathematics curriculum.How to carry on the probability teaching better, needs us to carry on the research earnestly.This article is divided into five chapters, the specific content is:Introduction.The background, purpose and significance of the research, the present situation of research at home and abroad, the research methods and the innovation are expounded.Second, the theoretical exploration of reasonable reasoning.This paper mainly introduces the definition and classification of reasonable reasoning, which provides method basis for further research.Third, high school probabilistic teaching investigation and analysis.Mainly through the investigation to the student and the interview to the teacher to understand the present stage high school probability teaching existence question.Fourth, the teaching strategy and teaching case of applying reasonable reasoning in high school probability teaching.With the methods of experiment, observation, analogy, induction and conjecture, this paper puts forward some basic teaching strategies for the concept, formula and problem solving of high school probability.On this basis, the basic concept of probability teaching design and teaching experiments.The experimental results show that the method of reasonable reasoning can play a positive role in the teaching of high school probability.V. conclusions and recommendations.Through investigation and teaching experiments, it is found that some reasonable reasoning methods, such as observation, experiment, induction, analogy, conjecture and so on, can increase students' interest in learning, stimulate their thinking activities, and thus improve the efficiency of classroom teaching.On the basis of this, the author puts forward some teaching suggestions for probability teaching in senior high school.The object of probability research is random phenomenon, which is very different from the deterministic mathematics knowledge that we usually learn. In order to make high school students learn probability knowledge better, we should pay attention to the formation of students' basic knowledge in teaching.As far as possible to show students the process of basic knowledge, reveal the nature of the problem, establish a probability model, so as to lay a good foundation for students' subsequent learning.
【学位授予单位】：内蒙古师范大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：G633.6

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