高中概率單元教學(xué)設(shè)計(jì)
發(fā)布時間:2018-06-05 13:39
本文選題:隨機(jī)現(xiàn)象 + 概率 ; 參考:《天水師范學(xué)院》2015年碩士論文
【摘要】:概率是研究隨機(jī)現(xiàn)象規(guī)律的科學(xué),與人們的日常生活和社會的發(fā)展緊密聯(lián)系,并在現(xiàn)實(shí)生活中廣泛應(yīng)用。教育研究者將其作為公民應(yīng)具備的基本常識寫入新課程標(biāo)準(zhǔn)中,使其成為高考的重點(diǎn)內(nèi)容。研究者和一線教師也越來越關(guān)注概率的教學(xué)和設(shè)計(jì)的問題。本研究重點(diǎn)關(guān)注如何更好的幫助學(xué)生理解概率中的隨機(jī)思想,建立隨機(jī)觀念,從而理解概率的意義。本研究從單元的角度出發(fā),對高中教材中涉及到的概率知識進(jìn)行整體把握,開展多方面的理論分析,具體說明如下。內(nèi)容分析:概率內(nèi)容以隨機(jī)思想為主線,重點(diǎn)闡述幾種重要的數(shù)學(xué)模型如古典概型等,涉及簡單的概率計(jì)算;標(biāo)準(zhǔn)分析:通過對《課標(biāo)》中概率部分教學(xué)要求的分析,明確概率的教學(xué)方式是以試驗(yàn)和實(shí)例分析為主,注重實(shí)際問題的解決;學(xué)生分析:研究搜集大量實(shí)例,重點(diǎn)說明概率教學(xué)應(yīng)充分考慮學(xué)生的認(rèn)知發(fā)展水平和興趣愛好;重點(diǎn)分析:突出以隨機(jī)思想的培養(yǎng)、隨機(jī)觀念的建立、概率意義的理解以及運(yùn)用模型進(jìn)行簡單概率計(jì)算為重點(diǎn)的教學(xué)設(shè)計(jì)思路;教材對此分析:研究對人教版和北師版教材進(jìn)行對比分析,明確概率知識的不同處理方向和水平,為教學(xué)設(shè)計(jì)拓寬思路。根據(jù)上述具體分析,以單元整體為主導(dǎo)設(shè)計(jì)思想,研究給出古典概型、二項(xiàng)分布和高考概率(3)的教學(xué)設(shè)計(jì),為單元教學(xué)設(shè)計(jì)作出實(shí)例。
[Abstract]:Probability is a science that studies the law of random phenomena, which is closely related to people's daily life and the development of society, and is widely used in real life. Educational researchers write it into the new curriculum standard as the basic common sense that citizens should possess, and make it the key content of college entrance examination. Researchers and teachers also pay more and more attention to the teaching and design of probability. This study focuses on how to better help students understand the random ideas in probability and establish random concepts to understand the meaning of probability. From the perspective of unit, this study makes a holistic grasp of the probability knowledge involved in high school textbooks, and carries out theoretical analysis in many aspects, including the following. Content Analysis: the content of probability is based on the idea of randomness, focusing on several important mathematical models, such as classical probability model, which involve simple probability calculation, and standard analysis: through the analysis of the teaching requirements of probability part in Curriculum Standard, It is clear that the teaching method of probability is based on experiment and case analysis, paying attention to the solution of practical problems, students' analysis: the study collects a large number of examples, the emphasis is to show that probability teaching should fully consider the level of students' cognitive development and interests and hobbies; Emphasis on analysis: focusing on the cultivation of random ideas, the establishment of random ideas, the understanding of the meaning of probability and the teaching design thinking of using the model to calculate the simple probability; The analysis of the teaching materials: this paper makes a comparative analysis on the teaching materials of the people's Education Edition and the Northern normal School Edition, and clarifies the different processing directions and levels of the probability knowledge, and broadens the thinking for the teaching design. According to the above concrete analysis, the teaching design of classical probability type, binomial distribution and the probability of college entrance examination is given, taking the whole unit as the leading design idea, and an example is given for the unit teaching design.
【學(xué)位授予單位】:天水師范學(xué)院
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:G633.6
【參考文獻(xiàn)】
相關(guān)碩士學(xué)位論文 前1條
1 黃靜;高中數(shù)學(xué)新課程“均值不等式”單元的教學(xué)設(shè)計(jì)[D];蘇州大學(xué);2007年
,本文編號:1982169
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