高中生數(shù)學(xué)解題規(guī)范性錯誤研究
發(fā)布時間:2018-01-20 23:32
本文關(guān)鍵詞: 高中生 數(shù)學(xué)解題 規(guī)范性錯誤 出處:《華中師范大學(xué)》2015年碩士論文 論文類型:學(xué)位論文
【摘要】:本文主要通過調(diào)查高中生數(shù)學(xué)解題中出現(xiàn)的規(guī)范性錯誤,對高中生數(shù)學(xué)解題中出現(xiàn)的規(guī)范性錯誤進(jìn)行分類并分析各類解題規(guī)范性錯誤的成因,最后基于規(guī)范性錯誤的成因提出幾點(diǎn)改正數(shù)學(xué)解題規(guī)范性錯誤的對策,本文共分為五個部分:第一部分為問題的提出,筆者通過自己和一些一線優(yōu)秀教師的教學(xué)經(jīng)驗(yàn)對當(dāng)前高中生數(shù)學(xué)解題的規(guī)范性現(xiàn)狀進(jìn)行分析,然后提出了本文研究的主要問題并對研究的必要性進(jìn)行了說明。第二部分為定義核心概念,主要是對數(shù)學(xué)解題規(guī)范性錯誤的定義。筆者結(jié)合實(shí)習(xí)中在對高中生平時作業(yè)、試卷的批改中發(fā)現(xiàn)的規(guī)范性錯誤和其他一線優(yōu)秀教師的教學(xué)經(jīng)驗(yàn),將高中生數(shù)學(xué)解題中的規(guī)范性錯誤進(jìn)行分類定義,主要分為解題書寫上的規(guī)范性錯誤(包括書寫過程中的規(guī)范性錯誤、書寫格式上的規(guī)范性錯誤、數(shù)學(xué)語言使用上的規(guī)范性錯誤)、三角函數(shù)中的規(guī)范性錯誤、概率統(tǒng)計(jì)中的規(guī)范性錯誤、立體幾何中的規(guī)范性錯誤、數(shù)列中的規(guī)范性錯誤、解析幾何中的規(guī)范性錯誤和函數(shù)導(dǎo)數(shù)中的規(guī)范性錯誤。第三部分為通過對高中生三個班的學(xué)生進(jìn)行問卷調(diào)查,對解題規(guī)范性錯誤的成因進(jìn)行分析。第四部分為筆者結(jié)合自身教育經(jīng)驗(yàn)和其它優(yōu)秀數(shù)學(xué)老師的教學(xué)建議,給出了三條改正數(shù)學(xué)解題規(guī)范性錯誤的對策。第五部分為研究不足及展望。
[Abstract]:This paper mainly through the investigation of senior high school students in mathematical problems in the normative errors, mathematical problems in senior high school students to classify the normative errors and analyze the causes of all kinds of normative errors in solving problems. Finally, based on the causes of normative errors, the author puts forward some countermeasures to correct the normative errors in mathematical problems. This paper is divided into five parts: the first part is the problem. The author analyzes the current normative situation of senior high school students' mathematics problem solving through their own teaching experience and some first-line excellent teachers' teaching experience. Then the paper puts forward the main problems and explains the necessity of the research. The second part is the definition of the core concept. The author combines the normative errors found in the practice of senior high school students in normal assignments, examination papers and other first-line excellent teachers' teaching experience. The normative errors in the mathematical problem solving of senior high school students are classified into normative errors (including normative errors in the process of writing and normative errors in the writing format). Normative errors in the use of mathematical languages, normative errors in trigonometric functions, normative errors in probability and statistics, normative errors in solid geometry, and normative errors in sequence of numbers. The normative errors in analytic geometry and the normative errors in the derivative of function. The third part is the questionnaire survey of the students in the three classes of senior high school students. The author analyzes the causes of normative errors in solving problems. Part 4th is the author's teaching suggestions combined with his own educational experience and other excellent mathematics teachers. Three countermeasures are given to correct the normative errors in mathematical problem solving. Part 5th is the research deficiency and prospect.
【學(xué)位授予單位】:華中師范大學(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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