本文選題：高中數(shù)學(xué) + 指數(shù)函數(shù)��； 參考：《內(nèi)蒙古師范大學(xué)》2015年碩士論文

【摘要】：指數(shù)函數(shù)在高中數(shù)學(xué)課程中扮演著重要的角色,它是學(xué)習(xí)對數(shù)函數(shù)的基礎(chǔ)。從實際應(yīng)用方面來看,指數(shù)函數(shù)被廣泛應(yīng)用于本人們的日常生產(chǎn)、生活和科學(xué)研究的各個領(lǐng)域之中,尤其體現(xiàn)在細胞分裂、放射衰變、人口控制、疾病預(yù)測、貸款利率的計算和考古中的年代測算等方面。指數(shù)函數(shù)的學(xué)習(xí),不但有助于學(xué)生加深函數(shù)概念的理解,而且具有廣泛的現(xiàn)實意義。所以指數(shù)函數(shù)的理解和掌握顯得尤為重要。本文從《指數(shù)函數(shù)及其性質(zhì)》出發(fā),通過對烏海市第一中學(xué)高一389班、390班學(xué)生104人進行問卷調(diào)查和交流,并進行問卷統(tǒng)計與數(shù)據(jù)處理,得出學(xué)生在指數(shù)函數(shù)學(xué)習(xí)方面存在的問題,查找這些問題存在的原因,針對這些問題給出相應(yīng)的教學(xué)策略,并給出《指數(shù)函數(shù)及其性質(zhì)》的教學(xué)設(shè)計。本研究的主要結(jié)論為：學(xué)生對于指數(shù)函數(shù)理解和掌握方面所存在的主要問題有：(1)部分學(xué)生不會指數(shù)冪的運算；(2)對指數(shù)函數(shù)概念理解不夠深刻,系數(shù)和指數(shù)的要求考慮不夠周全；(3)對指數(shù)函數(shù)圖象理解不到位；(4)利用指數(shù)函數(shù)解決實際問題不關(guān)心定義域。影響學(xué)生指數(shù)函數(shù)理解和掌握的主要因素有：(1)學(xué)生數(shù)學(xué)基礎(chǔ)差、知識掌握不扎實；(2)學(xué)生的辯證思維還不夠成熟；(3)教師對于指數(shù)函數(shù)概念的講解不夠深入；(4)教師在引導(dǎo)學(xué)生自主地建構(gòu)知識方面做得不夠好。提出的教學(xué)策略主要有：(1)創(chuàng)設(shè)問題情境讓學(xué)生建構(gòu)指數(shù)函數(shù)概念；(2)借助多媒體技術(shù)讓學(xué)生更加形象直觀地理解指數(shù)函數(shù)；(3)適時滲透數(shù)學(xué)思想方法培養(yǎng)學(xué)生的思維能力；(4)引導(dǎo)學(xué)生親身經(jīng)歷探究過程總結(jié)指數(shù)函數(shù)的性質(zhì)。本研究創(chuàng)新之處是從指數(shù)函數(shù)這一核心概念出發(fā),通過問卷調(diào)查,統(tǒng)計分析烏海市第一中學(xué)高一389班、390班學(xué)生學(xué)習(xí)指數(shù)函數(shù)方面存在的問題,教師在教學(xué)方面存在的問題等。針對所存在的主要問題,給出相關(guān)的教學(xué)策略,并給出《指數(shù)函數(shù)及其性質(zhì)》的教學(xué)設(shè)計。
[Abstract]:Exponential function plays an important role in high school mathematics curriculum, and it is the basis of learning logarithmic function. In practical applications, exponential functions are widely used in our daily production, life and scientific research fields, especially in cell division, radiation decay, population control, disease prediction, Loan interest rate calculation and archaeological dating and other aspects. The study of exponential function not only helps students to understand the concept of function, but also has wide practical significance. So it is very important to understand and master the exponential function. Based on the exponential function and its Nature, this paper makes a questionnaire survey and exchange among 104 students of Class 39, Class 389 of No. 1 Middle School in Wuhai City, and carries out statistical analysis and data processing of the questionnaire. The problems existing in the study of exponential function are obtained, the reasons for these problems are found out, the corresponding teaching strategies are given, and the teaching design of "exponential function and its properties" is given. The main conclusions of this study are as follows: the main problem in understanding and mastering exponential function among students is: (1) some students do not have a deep understanding of the concept of exponential function. The requirements of coefficients and indices are not fully considered (3) the image of exponential function is not well understood. 4) the use of exponential function to solve practical problems does not care about the domain of definition. The main factors that affect students' understanding and mastery of exponential function are: 1) students' poor mathematical foundation. (2) the dialectical thinking of students is not mature enough. 3) the teacher's explanation of the concept of exponential function is not deep enough. 4) the teacher does not do well in guiding students to construct knowledge autonomously. The teaching strategies put forward are: (1) creating problem situation for students to construct the concept of exponential function; (2) making students understand the exponential function more vividly and intuitively by means of multimedia technology; (3) infiltrating mathematics thinking method to cultivate students' thinking at the right time Ability 4) to guide students to experience the inquiry process and summarize the nature of the exponential function. The innovation of this study is that from the core concept of exponential function, through the questionnaire survey, this paper statistically analyzes the problems existing in the study of the exponential function among the students of Class 1, 389, Class 390 in Wuhai No. 1 Middle School, and the problems existing in the teaching of the teachers, and so on. In view of the main problems, the related teaching strategies are given, and the teaching design of "exponential function and its properties" is given.
【學(xué)位授予單位】：內(nèi)蒙古師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：G633.6

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本文編號：1817981