本文選題：高中概率　切入點：合情推理　出處：《內(nèi)蒙古師范大學》2013年碩士論文

【摘要】：隨機思想已經(jīng)成為現(xiàn)代公民生活必不可少的基本素質(zhì)之一�，F(xiàn)階段使用的人民教育出版社出版的普通高中課程標準實驗教科書中，將概率做為必學內(nèi)容編入。在我國，概率正式進入中小學數(shù)學教學課程的時間較晚，相對于代數(shù)、幾何而言，關(guān)于對其進行教學研究的較少，作為現(xiàn)行高中數(shù)學課程的重要內(nèi)容，，如何更好地進行概率教學，需要我們認真進行研究。 本文共分為五章內(nèi)容，具體內(nèi)容為： 一、導論。主要闡述了研究背景、研究的目的和意義、國內(nèi)外研究現(xiàn)狀、研究方法以及創(chuàng)新之處等基本內(nèi)容。 二、合情推理的理論探究。主要介紹了合情推理的概念界定以及分類，為后續(xù)研究提供方法依據(jù)。 三、高中概率教學調(diào)查分析。主要通過對學生的調(diào)查以及對教師的訪談了解現(xiàn)階段高中概率教學存在的問題。 四、高中概率教學中應用合情推理的教學策略及教學案例。用試驗、觀察、類比、歸納、猜想等合情推理的方法分別對高中概率的概念、公式以及解題三個方面提出一些基本的教學策略。在此基礎(chǔ)上，對概率中的基本概念進行教學設(shè)計并進行教學實驗。實驗結(jié)果表明采用合情推理的方法對高中概率進行教學可以起到積極的作用。 五、結(jié)論與建議。通過調(diào)查和教學實驗，了解到采用觀察、試驗、歸納、類比、猜想等合情推理的一些方法可以提高學生的學習興趣，激發(fā)學生的思維活動，從而提高課堂教學效率。并在此基礎(chǔ)上針對高中概率教學提出了教學建議。 概率研究的對象是隨機現(xiàn)象，它與我們平時學習的確定性數(shù)學知識有很大的區(qū)別，為了使高中生更好地學習概率知識，教學中應注重學生基礎(chǔ)知識的形成，盡量向同學們展現(xiàn)基礎(chǔ)知識的產(chǎn)生過程，揭示問題的本質(zhì)，建立概率模型，這樣才能為學生的后繼學習打下良好的基礎(chǔ)。
[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.
【學位授予單位】：內(nèi)蒙古師范大學
【學位級別】：碩士
【學位授予年份】：2013
【分類號】：G633.6

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本文編號：1725347