本文選題：初中數(shù)學(xué)　切入點：代數(shù)式　出處：《內(nèi)蒙古師范大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

【摘要】：代數(shù)式是初中數(shù)學(xué)中“數(shù)與代數(shù)”的重要組成部分,是初中數(shù)學(xué)中最基本的內(nèi)容之一,是小學(xué)算術(shù)和初中代數(shù)內(nèi)容銜接的橋梁,也是初中一年級學(xué)生開始就要接觸的入門數(shù)學(xué)知識。代數(shù)式的引入是數(shù)學(xué)符號化的基礎(chǔ),也是學(xué)習(xí)函數(shù)知識的基礎(chǔ),又是數(shù)學(xué)語言訓(xùn)練的載體。為了能使代數(shù)式的教學(xué)更加有效,同時代數(shù)式教學(xué)提供一定的參考價值,研究它有很大的必要性。本文共分為五個部分,具體內(nèi)容概述如下：第一部分：緒論。主要闡述了代數(shù)式教學(xué)中教師教的問題和學(xué)生學(xué)的問題,研究目的與意義以及研究現(xiàn)狀和代數(shù)式教學(xué)研究的一些研究方法和創(chuàng)新之處。第二部分：代數(shù)式相關(guān)內(nèi)容概述。闡述了代數(shù)式概念的界定,教科書中的整式、分式和二次根式的相關(guān)內(nèi)容與分析,代數(shù)式的表征,自然語言(文字語言)符號語言與圖形語言間的相互轉(zhuǎn)化問題。第三部分：代數(shù)式教學(xué)現(xiàn)狀調(diào)查。調(diào)查了包含它的概念、表征(包括代數(shù)式的讀和寫)、運算、性質(zhì)和綜合應(yīng)用等五個方面內(nèi)容的測試卷,并對調(diào)查結(jié)果進行了正態(tài)性檢驗、單因素方差分析和單一樣本均值檢驗的統(tǒng)計分析,同時訪談了部分教師和學(xué)生。第四部分：代數(shù)式教學(xué)設(shè)計與教學(xué)案例。對代數(shù)式進行了相關(guān)內(nèi)容的教學(xué)設(shè)計,并在此基礎(chǔ)上深入學(xué)校對代數(shù)式相關(guān)內(nèi)容進行了實際教學(xué),并以教學(xué)案例的形式進行展示。第五部分：結(jié)論和建議。該部分總結(jié)了相關(guān)研究的結(jié)論,并在此基礎(chǔ)上提出了一些更加有效的教學(xué)建議和需要進一步研究的代數(shù)式教學(xué)的相關(guān)問題。
[Abstract]:Algebraic formula is an important part of "number and algebra" in junior high school mathematics. It is one of the most basic contents in junior high school mathematics. It is the bridge between elementary school arithmetic and middle school algebra. The introduction of algebraic formulas is the basis of mathematical symbolization and the basis of learning function knowledge. It is also the carrier of mathematical language training. In order to make the teaching of algebraic form more effective, and at the same time to provide certain reference value for the teaching of algebraic form, it is necessary to study it. This paper is divided into five parts. The specific contents are summarized as follows: the first part: introduction. It mainly expounds the problems that teachers teach and students learn in algebraic teaching. The purpose and significance of the study, as well as the present research situation and some research methods and innovations of the algebraic teaching and research. Part two: an overview of the related contents of the algebraic formula, the definition of the concept of the algebraic formula, the integral formula in the textbook, The contents and analysis of fraction and quadratic root, the representation of algebraic form, the mutual transformation between natural language (character language) symbol language and graphic language. Part three: the investigation of the present situation of algebraic teaching. The test papers including the reading and writing of algebraic expressions, the operation, the properties and the comprehensive application are presented. The results are tested by normality test, single factor variance analysis and single sample mean test. At the same time, some teachers and students are interviewed. The fourth part: algebraic teaching design and teaching cases. The fifth part: conclusions and recommendations. This part summarizes the conclusions of relevant research. On the basis of this, some more effective teaching suggestions and related problems of algebraic teaching are put forward.
【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：1644964