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題名:國小六年級學童未知數解題類型之個案研究:介於算術與代數階段的約估策略
書刊名:臺東大學教育學報
作者:陳維民
作者(外文):Chen, Wei-ming
出版日期:2011
卷期:22:2
頁次:頁101-130
主題關鍵詞:未知數概念約估解題類型根本建構主義基模論教學晤談法Conceptions of the unknownThe approximation strategyRadical constructivismScheme theoryTeaching interview
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(0) 博士論文(1) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:0
  • 共同引用共同引用:11
  • 點閱點閱:83
期刊論文
1.Herscovics, N.、Linchevski, L.(1994)。A cognitive gap between arithmetic and algebra。Educational Studies in Mathematics,27(1),59-78。  new window
2.Van Amerom, B. A.(2003)。Focusing on informal strategies when linking arithmetic to early algebra。Educational Studies in Mathematics,54,63-75。  new window
3.甯自強(1987)。根本建構主義--認知研究的另一種架構。師友月刊,240,30-32。  延伸查詢new window
4.von Glasersfeld, E.(1981)。An attentional model for the conceptual construction of units and numbers。Journal for Research in Mathematics Education,12(3),83-94。  new window
5.Ricoeur, Paul(1971)。The Model of the Text: Meaningful Action Considered as a Text。Social Research,38(3),529-562。  new window
6.甯自強(19980900)。涂景翰的數概念。科學教育學刊,6(3),255-269。new window  延伸查詢new window
7.陳冠州(2008)。真實情境下國小二年級學童空間定位概念之個案研究。科學教育學刊,16(3),281-301。new window  延伸查詢new window
8.Harper, E. W.(1980)。The boundary between arithmetic and algebra: Conceptual understanding in two language systems。International Journal of Mathematics Education in Science and Technology,11,237-243。  new window
9.Harper, E.(1987)。Ghosts of Diophantus。Educational Studies in Mathematics,18,75-90。  new window
10.Irwin, K. C.、Britt, M. S.(2005)。The algebraic nature of students’ numerical manipulation in the New Zealand Numeracy Project。Educational Studies in Mathematics,58(2),169-188。  new window
11.Linchevski, L.、Herscovics, N.(1996)。Crossing the cognitive gap between arithmetic and algebra: Operating on the unknown in the context of equations。Education Studies in Mathematics,30,39-65。  new window
12.Trigueros, M.、Ursini, S.(2003)。First-year undergraduates’ difficulties in working with different uses of variable。CBMS Issues in Mathematics Education,8,1-26。  new window
13.Sfard, A.(1995)。The development of algebra: Confronting historical and psychological perspectives。Journal of Mathematical Behavior,14,15-39。  new window
14.Sfard, A.、Linchevski, L.(1994)。The gains and the pitfalls of reification — the case of algebra。Educational Studies in Mathematics,26,191-228。  new window
15.Radford, L.(1995)。Before the other unknowns were invented: Didactic inquiries on the methods and problems of mediaeval Italian algebra。For the Learning of Mathematics,15(3),28-38。  new window
16.Radford, L.(1997)。On psychology, historical epistemology, and the teaching of mathematics: Towards a socio-cultural history of mathematics。For the Learning of Mathematics,77(1),26-33。  new window
會議論文
1.甯自強(1992)。兒童的整數詞意義。第八屆科學教育年會,高雄師範大學 (會議日期: 1992/12/05)。高雄市。  延伸查詢new window
研究報告
1.郭汾派、林光賢、林福來(1989)。國中生文字符號概念的發展。台北。  延伸查詢new window
學位論文
1.Ning, T. C.(1992)。Children’s meanings of fractional number words(博士論文)。The University of Georgia,Athens, GA。  new window
圖書
1.Piaget, J.、Inhelder, B.、Weaver, H.(1969)。The Psychology of the Child。New York, NY:Basic Book。  new window
2.Piaget, Jean、Duckworth, Eleanor(1970)。Genetic Epistemology。New York:Columbia University Press。  new window
3.Collis, K. F.(1975)。A study of concrete and formal operations in school mathematics: A piagetian viewpoint。Sydney。  new window
4.Stacey, K.、Chick, H.、Kendal, M.(2004)。The future of the teaching and learning of algebra: The 12th ICMI Study。Dordrecht, the Netherlands。  new window
5.Filloy, E.、Rojano, T.(1984)。From an arithmetical thought to an algebraic thought。Proceedings of PME-NA VI。Madison, WI。  new window
6.von Glasersfeld, E.(1980)。The concept of equilibration in a constructivist theory of knowledge。Autopoiesis, communication and society。New York。  new window
7.von Glasersfeld, E.(1995)。Piaget’s constructivist theory of knowing。Radical constructivism: A way of knowing and learning。London。  new window
其他
1.Steffe, L. P.,Ludlow, A. S.,Ning, T. C.(1989)。Elementary algebra for teachers: A quantitative approach。  new window
2.教育部(2005)。國民中小學九年一貫課程正式綱要,台北。  延伸查詢new window
圖書論文
1.Maturana, H. R.(1978)。Biology of language: The epistemology of reality。Psychology and biology of language and thought。New York, NY:Academic Press。  new window
2.Kieran, C.(1992)。The Learning and Teaching of School Algebra。Handbook of Research on Mathematics Teaching and Learning。New York, NY:Macmillan。  new window
3.Kieran, C.(2006)。Research on the learning and teaching of algebra。Handbook of research on the psychology of mathematics education。Rotterdam:Sense。  new window
 
 
 
 
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