【摘要】：數(shù)學(xué)概念是數(shù)學(xué)知識的基礎(chǔ),是我們學(xué)生進(jìn)行學(xué)習(xí)的認(rèn)知基礎(chǔ),是學(xué)習(xí)者進(jìn)行數(shù)學(xué)思維的中心,同時數(shù)學(xué)概念在數(shù)學(xué)學(xué)習(xí)和數(shù)學(xué)教育中具有很重要的位置。本文以認(rèn)知心理學(xué)為基礎(chǔ),通過對相關(guān)理論的分析與閱讀,與專家探討交流,最后把數(shù)學(xué)概念的學(xué)習(xí)劃分為六個維度,分別是重述概念、辨析概念、區(qū)別概念、表征概念、應(yīng)用概念、概念圖六個維度。問卷內(nèi)容的設(shè)計以這六個維度水平為標(biāo)準(zhǔn)進(jìn)行設(shè)計。本研究在查閱相關(guān)文獻(xiàn)的基礎(chǔ)上,對當(dāng)前數(shù)學(xué)概念的研究現(xiàn)狀進(jìn)行梳理,并提出自己的理論構(gòu)想,分析當(dāng)前初中數(shù)學(xué)教材各章節(jié)中蘊(yùn)含數(shù)學(xué)概念的知識點(diǎn),根據(jù)數(shù)學(xué)概念的特點(diǎn)與相關(guān)理論把數(shù)學(xué)概念劃分為六個維度水平,并自行編制初中生數(shù)學(xué)概念掌握情況測試卷和學(xué)生訪談問卷,在對部分初中學(xué)生進(jìn)行測試和訪談后,將所得結(jié)果進(jìn)行認(rèn)真分析和總結(jié),初步得出初中生數(shù)學(xué)概念掌握情況的發(fā)展特點(diǎn)并探究其在各維度水平的學(xué)習(xí)障礙,并分析其出現(xiàn)障礙的原因,最后提出了幾點(diǎn)教學(xué)建議。本研究的主要結(jié)論有:(1)初中生數(shù)學(xué)概念掌握能力基本上隨著年級的上升而增強(qiáng),并且九年級女生的概念掌握能力總體上都比男生好;(2)初中生在數(shù)學(xué)概念學(xué)習(xí)各維度水平上女生總體上在每個維度都比男生掌握得要好;(3)初中生在數(shù)學(xué)概念學(xué)習(xí)各維度水平學(xué)習(xí)上在區(qū)別概念這個維度的掌握情況最好,學(xué)困生在各維度都出現(xiàn)學(xué)習(xí)困難的現(xiàn)象,而層次較好的學(xué)生主要是在表征概念和概念圖這兩個維度出現(xiàn)學(xué)習(xí)障礙;(4)學(xué)生在各維度出現(xiàn)學(xué)習(xí)障礙的原因主要有三方面,主要是跟概念本身的特點(diǎn)與獲得方式、學(xué)生自身的學(xué)習(xí)狀態(tài)、教師的教學(xué)有關(guān),解決這些學(xué)習(xí)困難首先可通過教師的教學(xué)的提高與改進(jìn)來進(jìn)行。
[Abstract]:Mathematical concept is the foundation of mathematical knowledge, the cognitive basis of our students' learning, and the center of learners' mathematical thinking. At the same time, mathematical concept plays an important role in mathematics learning and mathematics education. On the basis of cognitive psychology, through the analysis and reading of relevant theories, the paper discusses and communicates with experts, and finally divides the study of mathematical concepts into six dimensions, namely, restated concepts, discriminating concepts, distinguishing concepts, representing concepts. Apply concept, concept diagram six dimensions. The content of the questionnaire is designed according to the six dimensions. On the basis of consulting relevant literature, this study combs the current research situation of mathematical concepts, and puts forward its own theoretical conception, and analyzes the knowledge points of mathematical concepts contained in each chapter of current junior high school mathematics teaching materials. According to the characteristics of mathematical concepts and related theories, the mathematical concepts are divided into six dimensions, and the junior high school students' mathematics concept mastery test papers and student interview questionnaires are compiled by themselves. After testing and interviewing some junior middle school students, The results are analyzed and summarized carefully, and the development characteristics of junior high school students' mathematical concept mastery are preliminarily obtained, and the learning obstacles in various dimensions are explored, and the reasons for the obstacles are analyzed. Finally, some teaching suggestions are put forward. The main conclusions of this study are as follows: (1) the mathematics concept mastery ability of junior high school students increases with the increase of grade, and the concept mastery ability of female students in ninth grade is generally better than that of boys; (2) the junior high school students in the mathematics concept study in each dimension level girls are generally better than boys in each dimension to master; (3) the junior middle school students have the best grasp of the difference concept in the level of mathematics concept learning, and the students with learning difficulties have difficulty in learning in each dimension. The students with better level mainly have learning disabilities in the two dimensions of representation concept and concept map; (4) there are three main reasons for students' learning disabilities in each dimension, which are mainly related to the characteristics of the concept itself and the way of obtaining, the learning state of the students themselves, and the teaching of teachers. Solving these learning difficulties can be carried out through the improvement and improvement of teachers' teaching.
【學(xué)位授予單位】：廣西師范學(xué)院
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：G633.6

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本文編號：2347210