本文關(guān)鍵詞：PCK視角下的高中函數(shù)概念教學(xué)研究　出處：《江西師范大學(xué)》2016年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 數(shù)學(xué)概念 函數(shù)概念 PCK

【摘要】：數(shù)學(xué)概念是學(xué)生學(xué)習(xí)數(shù)學(xué)的出發(fā)點(diǎn),是數(shù)學(xué)定理、公式、推理等的基礎(chǔ);數(shù)學(xué)概念是最基本的思維形式,是學(xué)生學(xué)習(xí)數(shù)學(xué)的必經(jīng)之路。函數(shù)是描述現(xiàn)實(shí)客觀世界變化規(guī)律的一個(gè)重要數(shù)學(xué)模型,是高中數(shù)學(xué)的重要基礎(chǔ)知識(shí),也是學(xué)習(xí)其它學(xué)科的重要工具之一。在中學(xué),函數(shù)思想和方法也貫穿整個(gè)數(shù)學(xué)課程。函數(shù)概念是學(xué)生學(xué)習(xí)函數(shù)知識(shí)和其他數(shù)學(xué)知識(shí)的基礎(chǔ),所以高中生學(xué)習(xí)函數(shù)時(shí),函數(shù)概念的學(xué)習(xí)情況對(duì)高中及以后的數(shù)學(xué)學(xué)習(xí)有很大的影響。PCK(Pedagogical Content Knowledge),翻譯即為學(xué)科教學(xué)知識(shí)。教師PCK主要是研究教師學(xué)科知識(shí)和教學(xué)知識(shí)的聯(lián)系。通過查閱文獻(xiàn)資料,將本文中PCK定義為教師的知識(shí)轉(zhuǎn)化為課堂的知識(shí)。本文從教師PCK角度下,研究高中函數(shù)概念教學(xué),主要研究以下三個(gè)問題:函數(shù)概念的教育意義;函數(shù)概念的重難點(diǎn);不同類型的教師對(duì)函數(shù)概念教學(xué)的影響。本文的研究方法有文獻(xiàn)研究法、問卷調(diào)查法和訪談法。本文實(shí)驗(yàn)研究對(duì)象是江西省某中學(xué)高一5個(gè)班級(jí)的學(xué)生,共316名學(xué)生,和18名高中數(shù)學(xué)教師。從問卷中調(diào)查學(xué)生對(duì)函數(shù)概念的掌握情況,找出函數(shù)概念的重難點(diǎn)。函數(shù)概念的難點(diǎn)是對(duì)函數(shù)概念的理解,最主要是對(duì)對(duì)應(yīng)法則符號(hào)y(28)f(7)x(8)的理解。本文還在18名教師中抽選出代表新手型教師、成熟型教師和專家型教師各一名,進(jìn)行函數(shù)概念教學(xué)訪談,分析得出教師PCK會(huì)直接影響教學(xué)效果。最后根據(jù)實(shí)驗(yàn)結(jié)論,結(jié)合建構(gòu)學(xué)理論對(duì)教師概念教學(xué)提出幾點(diǎn)建議:(1)概念體系下的教學(xué)設(shè)計(jì);(2)課堂豐富化和趣味化調(diào)動(dòng)氛圍;(3)教學(xué)反思和總結(jié)。其中教學(xué)設(shè)計(jì)包括教學(xué)設(shè)計(jì)前的準(zhǔn)備工作、建立函數(shù)結(jié)構(gòu)體系、利用歷史相似性教學(xué)、教學(xué)過程中突出概念的形成;課堂豐富化和趣味化包括教學(xué)注意點(diǎn)、數(shù)學(xué)生活化和信息技術(shù)整合。
[Abstract]:Mathematical concept is the starting point for students to learn mathematics, is the basis of mathematical theorems, formulas, reasoning and so on; Mathematical concept is the most basic form of thinking and the only way for students to learn mathematics. Function is an important mathematical model to describe the changing laws of the real objective world and an important basic knowledge of senior high school mathematics. It is also one of the important tools for learning other subjects. In middle school, the thought and method of function also run through the whole mathematics course. The concept of function is the basis of students' learning function knowledge and other mathematics knowledge. So when high school students learn function. The learning of the concept of function has great influence on the mathematics learning in senior middle school and later. PCK / Pedagogical Content knowledge. Translation is the subject of teaching knowledge. Teacher PCK is mainly to study the relationship between teachers' subject knowledge and teaching knowledge. In this paper, PCK is defined as the transformation of teacher's knowledge into classroom knowledge. From the perspective of teacher's PCK, this paper studies the teaching of function concept in senior high school, and mainly studies the following three problems: the educational significance of the concept of function; The heavy and difficult point of the concept of function; The influence of different types of teachers on the teaching of function concept. The research methods of this paper are literature research, questionnaire survey and interview. The object of this experiment is the students of five classes in a middle school in Jiangxi Province. A total of 316 students and 18 senior high school mathematics teachers investigated the students' grasp of the concept of function from the questionnaire to find out the important difficulties of the concept of function. The difficulty of the concept of function is the understanding of the concept of function. The most important is the understanding of the corresponding rule symbol yang 28 / f / 7 / X / 8). Among the 18 teachers, one is the representative of the novice teacher, one is the mature teacher and the other is the expert teacher. It is concluded that the teacher PCK will directly affect the teaching effect. Finally, according to the experimental conclusions. Based on the theory of constructivism, this paper puts forward some suggestions on the teaching design of teachers' concept teaching under the concept system. 2) enriching and interesting atmosphere of classroom; The teaching design includes the preparation before the teaching design, the establishment of the function structure system, the use of historical similarity in teaching, the formation of outstanding concepts in the teaching process; Classroom enrichment and interest include teaching attention, mathematical life and information technology integration.
【學(xué)位授予單位】：江西師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：G633.6

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