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題名：數學文字題錯誤概念分析及學生建構數學概念的研究
書刊名：教育心理學報
作者：張景媛 引用關係
出版日期：1994
卷期：27
頁次：頁175-200
主題關鍵詞：數學文字題；錯誤概念；語言知識；基模知識；策略知識；程序性知識；放聲思考；Mathematics word-problem；Misconception；Linguistic knowledge；Schematic knowlege；Strategic knowledge；Procedural knowledge；Thinking-aloud
原始連結：連回原系統網址new window
相關次數：
  • 被引用次數被引用次數:期刊(11) 博士論文(7) 專書(1) 專書論文(1)
  • 排除自我引用排除自我引用:10
  • 共同引用共同引用:21
  • 點閱點閱:302
　　　　　本研究主要目的是以質的研究方法探討學生在數學文字題上所產生的錯誤概念，並採究學生如何建構出正確的數學概念。受試為國中二年級55名學生。此項研究採用放聲思考和問題思考法來分析學生解答數學文字題時在語言知識、基模知識、策略知識、及程序性知識等四方面的錯誤概念。研究者並以引導思考教學策略來瞭解學生如何建構出正確的數學概念。
　　　　　The purposes of the study were to investigate students' misconceptions in dealing with mathematics word problems with the use of qualitative analysis, and further to explore the ways in which the students construct correct mathematical concept. The study was related to qualitate analysis inolving thinking-aloud and thinking-by-questioning methods. The subjects chosen consisted of 90 eighth-grade students. The study intended to analyze the students' misconceptions of linguistic knowledge, schematic knowledge, strategic knowledge, and procedural knowledge in solving mathematics word problems. In addition, it also investigated how the students taught by thinking-by-guiding strategies form their correct mathematical concept.
期刊論文
1.Davis-Dorsey, J.、Ross, S. M.、Morrison, G. R.(1991)。The role of rewording and context personalization in the solving of mathematics word problems。Journal of Educational Psychology，83，61-68。  new window
2.Royer, J. M.、Cisero, C. A.、Carlo, M. S.(1993)。Techniques and procedures for assessing cognitive skills。Review of Educational Research，63，201-243。  new window
3.Cardelle-elawar, M.(1992)。Effects of teaching metacognitive skills to students with low mathematics ability。Teaching & Teacher Education，8，109-121。  new window
4.Brown, J. S.、Burton, R. R.(1978)。Diagnostic models for procedural bugs in basic mathematical skills。Cognitive Science，2，155-192。  new window
5.Carey, D. A.(1991)。Number sentences: Linking addition and subtraction word problems and symbols。Journal for Research in Mathematics Education，22，266-280。  new window
6.Carpenter, T. P.、Fennema, E.、Peterson, P. L.、Chiang, C. P.、Loef, M.(1989)。Using knowledge of children's mathematics thinking in classroom teaching: An experimental study。American Educational Research Journal，26，499-531。  new window
7.Frazier, L.、Raynier, K.(1982)。Making and correting errors during sentence comprehension。Cognitive Psychology，14，178-210。  new window
8.Lo, J. J.、Whearley, G. H.、Smith, A. C.(1994)。The participation, beliefs, and development of arithmetic meaning of a third-grade student in mathematics class discussions。Journal of Research in Mathematics Education，25，30-49。  new window
9.Low, R.、Over, R.(1983)。Gender differences in solution of algebraic word problems containing irrelevant information。Journal of Educational Psychology，85，331-339。  new window
10.Muth, K. D.(1991)。Effects of cuing on middle-school students' performance on arithmetic word problems containing extranious information。Journal of Educational Psychology，83(1)，173-174。  new window
11.Shuell, T.(1990)。Phases of meaninful learning。Review of Educational Research，60，531-547。  new window
12.Stainberg, R. M.、Sleeman, D. H.、Ktorza, D.(1991)。Algebra students' knowledge of equivalence of equations。Journal of Research in Mathematics Education，22，112-121。  new window
13.呂溪木(19831100)。從國際科展看我國今後科學教育發展的方向。科學教育，64，13-19。  延伸查詢new window
14.張新仁(19890600)。學習策略訓練之初探。教育文粹，18，86-94。  延伸查詢new window
15.林清山、張景媛(19930700)。國中生後設認知、動機信念與數學解題策略之關係研究。教育心理學報，26，53-74。new window  延伸查詢new window
會議論文
1.Balacheff, N.(1987)。Towards a problematique for research in mathematics teaching。The meeting of the Special Interest Group for Research in Mathematics Education。Anaheim, CA。  new window
2.Carpenter, T. P.、Fennema, E.、Franke, M. L.(1992)。Cognitively guided instruction: Building the primary mathematics curriculum on children's informal mathematical knowledge。The meeting of the American Educational Research Association。San Francisco。  new window
3.Pines, A. L.(1980)。A model for program development and evaluation: The formative role of summative evaluation and research in science education。The Annual Conference of the International Congress for Individualized Industruction。Windsor。  new window
圖書
1.MacGregor, M.、Stacey, K.(1993)。Cognitive models underlying students' formulation of simole linear equations。  new window
2.Wertsch, J. V.(1981)。The Concept of Activity in Soviet Psychology。NY：M. E. Sharpe。  new window
3.Taylor, Steven J.、Bogdan, Robert(1984)。Introduction to qualitative research methods: The search for meanings。John Wiley and Sons。  new window
4.歐用生(1989)。質的研究。臺北市：師大師苑。  延伸查詢new window
5.黃瑞琴(1991)。質的教育研究法。臺北：心理出版社。  延伸查詢new window
6.Mayer, R. E.(1987)。Educational Psychology: A cognitive approach。Little, Brown and Company。  new window
7.單文經(1992)。課程與教學研究。師大書苑。  延伸查詢new window
圖書論文
1.Brown, A. L.(1987)。Metacognition, Exeuctive Control, Self-Regulation, and Other More mysterious Mechanisms。Metacognition, Motivation, and Understanding。London：Lawrence Erlbaum Associates。  new window
2.Carpenter, T. P.、Moser, J. M.(1983)。The acquisition of addition and subtraction concepts。Acquesition of mathematical concepts and processes。NY：Academic Press。  new window
3.Cobb, P.(1990)。Multiple perspectives。Transforming children's mathematics education: International perspectives。Hillsdale, NJ：Lawrence Erlbaum。  new window
4.Hinsley, D. A.、Hayes, J. R.、Simon, H. A.(1977)。From words to equations: Meaning and representation in algebra word problems。Cognitive processes in comprehencion。Hillsdale, NJ：Erlbaum。  new window
5.Jick, T. D.(1983)。Mixing qualitative and quantitative methods: Triangulation in action。Qualitative methodology。Beverly Hills, CA：Sage。  new window
6.Siegel, A. W.(1981)。The externalization of cognitive maps by children and adults: In search of ways to ask better question。Spatial representation and behavior across the lifespan。NY：Academic Press。  new window
7.Vergnaud, G.、Booker, G.、Confrey, J.、Lerman, S.、Lochhead, J.、Sfard, A.、Sierpinska, A.、Wheeler, D.(1990)。Epistemology and psychology of mathematics education。Mathematics and Cognition: A Research Synthesis by the International Group for the Psychology of Mathematics Education。NY：Cambridge University Press。  new window
8.Laborde, C.(1990)。Language and Mathematics。Mathematics and cognition: A research synthesis by the International Group for the Psychology of Mathematics Education。Cambridge University Press。  new window
 
 
 
 
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