當前幼兒數學研究及其教育意涵__臺灣人文及社會科學引文索引資料庫

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題名：	當前幼兒數學研究及其教育意涵
書刊名：	國民教育研究學報
作者：	周淑惠
作者(外文)：	Chou, Su-hui
出版日期：	1996
卷期：	2
頁次：	頁255-284
主題關鍵詞：	幼兒；數學概念；幼兒教育
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(3) 博士論文(0) 專書(1) 專書論文(0) 排除自我引用:3 共同引用:9 點閱:53

　　　　　皮亞傑宵為研究兒童數學概念發展之泰斗，基本上其研究立論為：數學具邏輯本質，學前幼兒欠缺邏輯思考力，因而正數學上是無能的。近年來有關兒童數學概念發展之研究陸續出現，這些研究散見於數學之各次領域(如數、量、空間....)，而巳大多數研究之發現似乎有異於皮氏之數學無能論。然而目前有關「幼兒數學教育」之著作多半仍以皮氏理論為依歸，而皮氏本人卻鮮少論及教育上之運用，因而實有必要將當前的研究加以研析與整合，以探討幼兒數學概念發展的特性，並進而闡論其在教育上之意涵。本研究經文獻分析結果，發現：(1)學前幼兒確實在數、量、幾何、空間、邏輯等概念上有一些理解與能力，例如「非正式算術」(informal arithmetic)：(2)這些數學方面的能力是自小逐漸萌發、日益精進的，因此有些脆弱與限制：[3)幼兒數學概念的發展具有自發自導、建構發明、情境實用、以及直覺具体等特性。以上幼兒數學能力之特性與幼兒數學概念發展之特性在教學上之啟示為：提供豐富與刺激性的環境以回應及支持幼兒的興趣與能力，使正在發展與成熟中之能力，充份發展，即類似布魯納所謂的「鷹架式」教學支持。而鷹架式支持之具体而微的教學原則為：生活化、遊戲化、具體化、直覺化、解題化、互動化。

以文找文

　　　　　Jean Piaget is the foremost, figure in studying the development of young children's mathematical concepts. Basically, his tenet of theory is that mathematics is logical in nature and that preschooler is short of logical thinking young child, therefore, is mathematically incapable. Recently, the research in the development of mathematical concept of young children burgeons prosperously and is found in the subfields of mathematics such as number, geometry... etc. Moreover, most findings of these studies seem to be different from Piaget's assumption. Nevertheless, most of the publications in early childhood mathematics education for the time being are still based on Piaget's theory. On the other hand, Piaget himself seldom mentioned about the educational implications of his theoy. Hence, there is an urgent need to study and integrate present studies in order to investigate the developmental characteristics of young children's mathematics concept and further to explicate its educational implicat ion. This article adopts literature review as its main re- search method. The findings are: (1) preschoolers are indeed competent in mathematics such as "informal arithmetic": (2) the competences of young children burgeon from birth and Progress continuously and gradually, their capabilities, therefore, are weak and have limits in some way: (3) the developmental characteristics of young children's mathematical concept are self-directive, self-constructive, contextual and intuitive in nature. Based on the findings the educational implication, therefore, is to provide young children with rich and stimulative environment in order to support and response to their developmental characteristics. Generally, the author agrees what Brunet mentions "scaffording support" in instruction. The main purpose is to allow young children's competences (undergoing development) to reach full mature and development. Some instructional principles are suggested: play- oriented, experience-oriented, problem solving-oriented, in- tuition-oriented, and concretion-oriented principles.

以文找文

期刊論文
1.	Strauss, M. S.、Curtis, L. E.(1981)。Infant perception of numerosity。Child Development，52(4)，1146-1152。
2.	Starkey, P.、Spelke, E. S.、Gelman, R.(1983)。Detection of intermodal numerical correspondences by human infants。Science，222，179-181。
3.	Groen, G.、Resnick, L. B.(1977)。Can preschool children invent addition algorithms?。Journal of Educational Psychology，69，645-652。
4.	Gelman, R.、Meck, E.(1983)。Preschoolers' counting: Principles before skills。Cognition，13，343-359。
5.	Fuson, K. C.、Briars, D. J.(1990)。Using a base-ten blocks learning/teaching approach for first and second grade place value and multidigit addition and subtraction。Journal for Research in Mathematics Education，21，180-206。
6.	Antell, S. E.、Keating, D. P.(1983)。Perception of Numerical Invariance in Neonates。Child Development，54，695-701。
7.	Groen, G. J.、Parkman, J. M.(1972)。A chronometric analysis of simple addition。Psychological Review，79(4)，329-343。
8.	Acredolo, L. P.(1978)。Development of spatial orientation in infancy。Developmental Psychology，14，224-234。
9.	Gelman, R.、Meck, E.、Merkin, S.(1986)。Young children's numerical competence。Cognitive Development，1，1-29。
10.	Piaget, J.(1953)。How children form mathematical concepts。Scientific American，189(5)，74-79。
11.	Rosch, Eleanor、Mervis, Carolyn B.、Gray, Wayne D.、Johnson, David M.、Boyes-Braem, Penny(1976)。Basic objects in natural categories。Cognitive Psychology，8(3)，382-439。
12.	Greeno, J. G.、Riley, M. S.、Gelman, R.(1984)。Conceptual competence and children's counting。Cognitive Psychology，16(1)，94-143。
13.	Bruner, Jerome S.(1964)。The course of cognitive growth。American Psychologist，19(1)，1-15。
14.	Hiebert, J.、Weame, D.、Taber, S.(1991)。Fourth grades' gradual construction of decimal fractions during instruction using different physical representations。Elementary School Journal，91，321-341。
15.	Koslowski, B.(1980)。Quantitative and qualitative changes in the development of seriation。Merrill Palmer Quarterly，26(4)，391-405。
16.	江文慈(19921000)。斐哥斯基「近側發展區」之基本概念及其在教學上的應用。現代教育，28，145-156。延伸查詢
17.	Madell, R.(198503)。Children's natural processes。Arithmetic Teacher，32，20-22。
18.	Inagaki, K.(1992)。Piagetian and post-Piagetian conceptions of development and their implications for science education in early childhood。Early Childhood Research Quarterly，7，115-133。
19.	柯華葳(1995)。學前的孩子不是沒有邏輯、知識的小人兒。新幼教，5，21-23。延伸查詢
20.	Acredolo, L. P.(1977)。Developmental changes in the ability to coordinate perspectives of large-scale space。Developmental Psychology，13(1)，1-8。
21.	Acredolo, L. P.、Evans, D.(1980)。Developmental changes in the effects of landmarks on infant's spatialbehavior。Developmental Psychology，16，312-318。
22.	Acredolo, L. P.、Pick, H. L.、Olson, M. G.(1975)。Environmental differentiation and familiarity as determinants of children's memory for spatial location。Developmental Psychology，11(4)，495-501。
23.	Berzansky, M.(1971)。The role of familiarity in children's explorations of psysical causality。Child Development，42，705-715。
24.	Bluestein, N.、Acredolo, L. P.(1979)。Developmental changes in mapreading skills。Child Development，50，691-697。
25.	Brainerd, C. J.(1974)。Inducing ordinal and cardinal representations of the first five natural numbers。Journal of Experimental Child Psychology，18，520-534。
26.	Cobb, P.(1985)。A reaction to three early number papers。Journal for Research in Mathematics Education，16，141-145。
27.	Fennema, E.(1972)。Models and Mathematics。Arithmetic Teacher，19(Dec.)，635-640。
28.	Geeslin, W. E.、Shar, A. O.(1979)。Alternative model decribing spatial references: Topological and gemetric concepts。Journal of Research in Mathematics Education，10，57-68。
29.	Gelman, R.(1979)。Preschool thought。American Psychologist，34(10)，900-905。
30.	Gelman, R.(1969)。Conservation acquisition: A problem of learning to attend to relevant attributes。Journal of Experimental Child Psychology，7(Apr.)，167-187。
31.	Kapadia, R.(1974)。A critical examination of Piaget-Inhelder's view on Topology。Educational Studies in Mathematics，5(4)，419-424。
32.	Kerslake, D.(1979)。Visual mathematics。Mathematics in School，8(2)，34-35。
33.	Kieren, T. E.(1971)。Manipulative activity in mathematics learning。Journal for Research in Mathematics Education，2(May)，228-234。
34.	Liben, L. S.、Moore, M. L.、Golbeck, S. L.(1982)。Preschoolers' knowledge of their classroom environment: evidence from small-scale and life size spatial task。Child Development，53，1275-1284。
35.	Lovell, K.(1959)。A follow-up study of some aspects of the work of Piget and Inhelder on the child's conception of space。British Journal of Educational Psychology，29，104-117。
36.	Markman, E. M.、Siebert, J.(1976)。Classes and collections: Internal organization and resulting holistic properties。Cognitive Psychology，8，561-577。
37.	Markman, E. M.(1973)。Facilitation of part-whole comparisons by use of the collective noun "family"。Child Development，44，837-840。
38.	Martin, J. L.(1976)。An analysis of some of Piaget's topological tasks from a mathematical point of view。Journal of Research in Mathematics Education，7，8-24。
39.	Martin, J. L.(1976)。A test with selected topological properties of Piaget's hypothesis concerning the spatial representation of the young child。Journal for Research in Mathematics Education，7(1)，26-38。
40.	Page, E. I.(1959)。Haptic perception: A consideration of one of the investigations of Piaget and Inhelder。Educational Review，2，115-124。
41.	Rosser, R. A.、Campbell, K. P.、Horan, P. F.(1986)。The differential salience of spatial information feturess in the geometric reproductions of young children。The Journal of Genetic Psychology，147(4)，447-455。
42.	Rosser, R. A.、Horan, P. F.、Mattson, S. L.、Mazzeo, J.(1984)。Comprehension of Euclidean space in young children: the early emergence of understanding and its limits。Genetic Psychology Monographs，110，21-41。
43.	Rosser, R. A.、Mazzeo, J.、Horan, P. F.(1984)。Reconceptualizing perceptual development: the identification of some dimensions of spatial competence in young children。Contemporary Educational Psychology，9，135-145。
44.	Siegel, A. W.、Schadler, M.(1977)。The development of young children's spatial representations of their classroom。Child Development，48，388-394。
45.	Siverman, I. W.、Briga, J.(1981)。By what process do young children solve small number conservation problems?。Journal of Experimental Child Psychology，32，115-126。
46.	Sugarman, S.(1981)。The cognitive basis of classification in very young children: an analysis of object ordering trends。Child Development，52，1172-1178。
47.	Watson, J. S.、Hayes, L. A.、Vietze, P.(1979)。Bidimensional sorting in preschoolers with an instrumental learning task。Child Development，50，1178-1183。
48.	Wearne, D.、Hiebert, J.(1988)。Acognitive approach to meaningful mathematics instruction: tesing a local theory using decimal numbers。Journal for Research in Mathematics Education，19，371-384。
49.	Sternberg, Robert J.、Ketron, Jerry L.(1982)。Selection and implementation of strategies in reasoning by analogy。Journal of Educational Psychology，74(3)，399-413。
50.	Burger, W. F.、Shaughnessy, J. M.(1986)。Characterizing the van Hiele levels of development in geometry。Journal for Research in Mathematics Education，17(1)，31-48。
51.	吳貞祥(19901000)。幼兒的量與空間概念的發展。國教月刊，37(1/2)，1-10。延伸查詢

會議論文
1.	Noelting, G.(1979)。Hierarchy and process in the construction of the geometrical figure in the child and adolescent。the Third International Conference for the Psychology of Mathematics Education。University of Warwick。
2.	Piaget, J.(1973)。Comments on mathematical education。The second international congress on mathematical education。London：Cambridge University Press。
3.	Schmidt, C. R.、Paris, S. G.(1977)。Children's understanding of causal sequence。the biennial meeting of the Society for Research in Child Development。New Orleans。

研究報告
1.	Miller, P. H.、Heldmeyer, K. H.、Miller, S. A.(1973)。Facilitation of conservation of number in young children。Department of Psychology. The University of Michigan。
2.	Suydam, M. N.、Higgins, J. L.(1976)。Review and synthesis of studies of activity-based apporaches to mathematics teaching. Final Report。Columbus, Ohio。

學位論文
1.	張麗芬(1993)。幼兒類比推理能力之研究(博士論文)。國立政治大學。延伸查詢
2.	王素芸(1988)。學前兒童空間概念之研究(碩士論文)。中國文化大學。延伸查詢

圖書
1.	Kamii, C. K.(1985)。Young Children Reinvent Arithmetic: Implications of Piaget's Theory。New York, NY：Teachers College Press。
2.	Ginsburg, H. P.(1989)。Children's arithmetic: How they learn it and how you teach it。Austin, TX：Pro-Ed。
3.	福周亮、陳小芬(1994)。幼兒發展與輔導。臺北：五南。延伸查詢
4.	Donaldson, M.(1978)。Children's Minds。New York, NY：W. W. Norton。
5.	周淑惠(1995)。幼兒數學新論：教材教法。臺北市：心理出版社。延伸查詢
6.	李丹(1992)。兒童發展。臺北：五南書局。延伸查詢
7.	Piaget, J.、Roberts, G.、Roberts, A.(1973)。To understand is to invent: the future of education。New York：Grossman Publishers。
8.	Baroody, Arthur J.(1987)。Children's Mathematical Thinking: A Developmental Framework for Preschool, Primary, and Special Education Teachers。Teachers College, Columbia University。
9.	Piaget, Jean、Inhelder, Barbel、陸有銓、華意蓉(1989)。兒童的早期邏輯發展。臺北：五洲出版社。延伸查詢
10.	Piaget, J.、Szeminshk, A.、Gattenoand, C.、Hodsdon, F. M.(1952)。Child's conception of number。New York：The Humanities Press Inc.。
11.	Gelman, R.、Gallistel, C. R.(1978)。The child's understanding of number。Cambridge, Mass.：Harvard University Press。
12.	王文科(1992)。兒童認知發展導論。台北：文景出版社。延伸查詢
13.	Piaget, J.、Inhelder, B.(1967)。The child's conception of space。London：Routledge & Kegan Paul。
14.	Van De Walle, J. A.(1990)。Elementary school mathematics: Teaching developmentally。White Plains, N.Y.：Longman。
15.	Mayer, R. E.、林清山(1994)。教育心理學--認知取向。臺北：遠流出版社。延伸查詢
16.	盧素碧(1993)。幼兒的發展與輔導。臺北：文景出版社。延伸查詢
17.	Ginsburg, H. P.、Opper, S.(1988)。Piaget's theory of intellectual development。Englewood Cliffs, NJ：Prentice Hall。
18.	Inhelder, B.、Sinclair, H.、Bovet, M.(1974)。Learning and the development of cognition。Cambridge, Mass.：Harvard University Press。
19.	孫佳曆、華意蓉(1987)。兒童心理學。台北：五洲出版社。延伸查詢
20.	Case, R.(1986)。Intellectual development: birth to adulthood。New York：Academic Press。
21.	Copeland, Richard W.(1974)。How children learn mathematics: teaching implications of Piaget's research。New York：Macmillan Publishing Co., Inc.。
22.	Elkind, D.(1989)。Miseducation: preschoolers at risk。New York：Alfred A. Knopf, Inc.。
23.	Gross, T. F.(1985)。Cognitive development。Monterey, CA：Brooks/Cole Publishing Company。
24.	Ilg, F. L.、Ames, L. B.(1965)。School Readiness: behavior tests used at the Gessel Institute。New York：Harper, Row。
25.	Kamii, C.(1989)。Young children reinvent arithmetic (2nd grade): implications of Piaget's theory。New York：Teachers College Press。
26.	Schultz, K. A.、Colarusso, R. P.、Strawderman, V. W.(1989)。Mathematics for every young child。Columbus, Ohio：Bell, Howell。
27.	Vurpillot, E.(1976)。The visual world of the child。London：George Allen, Unwin。
28.	Vygotsky, L. S.、Knox、Carol(1978)。Mind in society: The development of higher psychological process。Cambridge, MA：Harvard University Press。

單篇論文
1.	Smith, A. B.(1992)。Early childhood education: Seeking a theoretical framework in Vygotsky's work(ED 355 010)。

圖書論文
1.	Starkey, P.、Gelman, R.(1982)。The development of addition and subtraction abilities prior to formal schooling in arithmetic。Addition and subtraction: A cognitive perspective。Hillsdale, NJ：Lawrence Erlbaum Associates。
2.	Cooper, R. G.(1984)。Early number development: Discovering number sense with addition and subtraction。The origins of cognitive skill。Hillsdale, NJ：Lawrence Erlbaum Associates。
3.	Resnick, L. B.(1983)。A developmental theory of number understanding。The development of mathematical thinking。Academic Press。
4.	Resnick, L. B.、Klopfer, L. E.(1989)。Toward the thinking curriculum: An overview。Toward the thinking curriculum: Current cognitive research。Alexandria, VA：Association for Supervision and Curriculum Development。
5.	Gelman, R.、Baillargeon, R.(1983)。A Review of Piagetian Concepts。Handbook of Child Psychology。New York, NY：John Wiley & Sons。
6.	Siegel, A. W.、White, S. H.(1975)。The development of spatial representations of large-scale environments。Advances in Child Development and Behaviour。New York：Academic Press。
7.	Hoffer, A. R.(1983)。Van Hiele based research。Acquisition of mathematics concepts and Processes。New York：Academic Press。
8.	程小危(1992)。學前到學齡階段認知發展歷程。發展心理學。台北：心理出版社。延伸查詢
9.	Resnick, L. B.、Omanson, S. F.(1987)。Learning to understand arithmetic。Advances in instructional psychology。Hillsdale, NJ：Lawrence Erlbaum Associates。
10.	周淑惠(1993)。幼兒數概念發展及其教學原則。教育部研習資料。台北：教育部。延伸查詢
11.	Baroody, A. J.(1992)。The Development of preschoolers' counting skill and principles. Pathways to number: children's developing numerical abilities。Pathways to number: children's developing numerical abilities。Hillsdale, N.J.：Lawrence Erlbaum Associates。
12.	Bruni, J. V.、Seidenstein, R. B.(1990)。Geometric conceptsand spatial sense。Mathematics for the young child。Reston, VA：The National Council of Teachers of Mathematics, Inc.。
13.	Carpenter, T. P.、Carey, D.、Kouba, V.(1990)。A problem-solving approach to the operations。Mathematics for the young child。Reston, VA：The National Council of Teachers of Mathematics, Inc.。
14.	Dodwell, P. C.(1971)。Children's perception and their understanding of geometrical ideas。Piagetian cognitive- development research and mathematical education。Reston, VA：The National Council of Teachers of Mathematics。
15.	Gelman, R.(1972)。The nature and development of early number concepts。Advances in child development and behavior。New York：Academic Press。
16.	Gelman, R.、Meck, E.(1986)。The notion of principle: the case of counting。Conceptual and procedural knowledge: The case of mathematics。Lawrence Erlbaum Associates。
17.	Gelman, R.、Greeno, G.(1989)。On the nature of competence: principles for understanding in a domain。Knowing, learning and instruction: essays in honor of Rober Glaser。Hillsdale, NJ：Lawrence Erlbaum Associates。
18.	Gelman, R.、Meek, E.(1992)。Early principles aid initial but not later conceptions of number。Pathways to number: Children's developing numerical abilities。Hillsdale, N.J.：Lawrence Erlbaum Associates。
19.	Ginsburg, H. P.(1981)。Piager and education: the contributions and limits of genetic epistemology。New directions in Pigetian theory and practice。Hillsdale, NJ：Lawrence Erlbaum Associates。
20.	Ginsburg, H. P.、Asmussen, K. A.(1988)。Hot mathematics。Children's mathematics: new directions for child development。San Francisco：Jossey-Bass。
21.	Murray, G. B.(1978)。Teaching strategies and conservation training。Cognitive psychology and instruction。New York：Plenum Press。
22.	Nelson, L. D.、Kirkpatrick, J.(1988)。Problem solving。Mathematics learning in early childhood。Reston, VA：National Council of Teachers of Mathematics, Inc.。
23.	Pascual-Leone, J.(1980)。Constructive problems for constructive theories: the current relevance of Piaget's work and a critique of in-formation-processing simulation psychology。Developmental models of thinking。New York：Academic Press。
24.	Smock, C. D.(1976)。Piaget's thinking about the development of space concepts and geometry。Space and Geometry: papers from research workshop。
25.	Worth, J.(1990)。Developing problem-solving abilities and attitudes。Mathematics for the young child。Reston, VA：The National Council of Teachers of Mathematics, Inc.。
26.	Resnick, L. B.(1987)。Constructing knowledge in school。Development & Learning: conflict or congruence?。Hillsdale, N. J.：Lawrence Erlbaum Associates。
27.	Clements, D. H.、Battista, M. T.(1992)。Geometry and spatial reasoning。Handbook of research on mathematics teaching and learning。Macmillan publishing Company。

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