| 期刊論文| 1. | Gelman, R.、Meck, E.、Merkin, S.(1986)。Young children's numerical competence。Cognitive Development，1，1-29。   | | 2. | Klahr, D.、Wallace, J. G.(1973)。The role of quantification operators in the development of conservation of quantity。Cognitive Psychology，4，301-327。 | | 3. | Hendrickson, A. D.(1979)。An inventory of mathematical thinking done by incoming first grade children。Journal for Research in Mathematics Education，10(1)，7-23。 | | 4. | Brainerd, C. J.(1974)。Inducing ordinal and cardinal representations of the first five natural numbers。Journal of Experimental Child Psychology，18，520-534。 | | 5. | Greenes, C. E.(1979)。The learning disabled child in mathematics。Focus on learning problems in mathematics，1(1)。 | | 6. | Winer, G. A.(1980)。Class-inclusion reasoning in children: A review of the empirical literature。Child development，51(2)，309-328。 | | 7. | Wang, M. C.、Resnick, L. B.、Boozer, R. F.(1971)。The sequence of development of some early mathematics behaviors。Child Development，42，1767-1778。 | | 8. | Ames, L. B.(1946)。The Development of the Sense of Time in the Young Child。The Pedagogical Seminary and Journal of Genetic Psychology，68，97-125。 | | 9. | Bearison, D. J.(1969)。Role of measurement operations in the acquisition of conservation。Developmental Psychology，1，653-660。 | | 10. | Blackstock, E. G.、King, W. L.(1973)。Recognition and reconstruction memory for seriation in four-and five-year-olds。Developmental Psychology，9，255-259。 | | 11. | Carpenter, T. P.(1975)。Measurement concepts of first-and second-grade students。Journal for Research in Mathematics Education，6，3-14。 | | 12. | Carpenter, T. P.、Lewis, R.(1976)。The development of the concept of a standard unit of measure in young children。Journal for Research in Mathematics Education，7，53-64。 | | 13. | Carpenter, T. P.(1980)。Results and Implications of the second NAEP Mathematics Assessments: Elementary School。Arithmetic Teacher，27(8)，44-47。 | | 14. | Egseard. J. C.(1970)。Some Ideas in Geometry that can be Taught from K-6。Educational Studies in Mathematics，2(4)，478-495。 | | 15. | Fielker. D. S.(1973)。A Structural Approach to Primary School Geometry。Mathematics Teaching，63，12-16。 | | 16. | Gelman, R.、Tucker, M. F.(1975)。Further investigations of the young child's conception of number。Child development，46，167-175。 | | 17. | Ginsburg, H. P.、Russell, R. L.(1981)。Social class and racial influences on early mathematical thinking。Monographs of the Society for Research in Child Development，46(6)，1-69。 | | 18. | Harris, M.(1981)。Dissecting a Clockface Struggle。Mathematics for Low Attainers，4，26-28。 | | 19. | Kerslake, D.(1975)。Taking Time Out。Mathematics Teaching，73，8-10。 | | 20. | Kingsley, R.、Hall, V.(1967)。Training conservation through the use of egaming sets。Child Development，38，1111-1126。 | | 21. | Markman, E. M.、Siebert, J.(1976)。Classes and collections: Internal organization and resultingt holistic properties。Cognitive psychology，8，561-577。 | | 22. | Markman, E. M.(1978)。Empirical versus logical solutions to part-whole comparison problems concerning classes and collections。Child development，49，168-177。 | | 23. | Montgomery, M. E.(1973)。The interaction of three levels of aptitude determined by a teach-test procedure with two treatments related to arca。Journal for Research in Mathematics Education，4，271-278。 | | 24. | Rosch, E.、Mervis, C. B.、Gray, W.、Johnson, D.、Boyes-Braem, P.。Basic objects in natural categories。Cognitive psychology，3，382-439。 | | 25. | Saxe, G. B.(1979)。Development relations between notational counting and number conservation。Child Development，50，180-187。 | | 26. | Schaeffer, B.、Eggleston, V. H.、Scott, J. L.(1974)。Number development in young children。Cognitive Psychology，6，357-379。 | | 27. | Springer, D.(1952)。Development in Young Children of an Understanding of Time and the Clock。Journal of Psychology，80，83-96。 | 會議論文| 1. | Briars, D. M.、Siegler, R. S.(1981)。Preschoolers' abilities to recognize counting errors。The Biennial Meeting of the Society for Research in Child Development。Boston。 | | 2. | Fuson, K. C.、Richards, J.(1980)。Children's construction of the act of counting。The Annual meeting of the American Educational Research Association。Boston。 | | 3. | Fuson, K. C.、Richards, J.(1981)。Children's construction of the counting numbers: From a spew to a bidirectional chain。The Annual Meeting of the American Educational Research Association。Boston。 | | 4. | Mandler, G.、Shebo, B. J.(1980)。Subitizing: An analysis of its component processes。Paper presented at the Psychonomic Society。St. Louis, MO.。 | | 5. | 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。 | | 6. | Pringle, R.(1980)。Development of the normalization strategy in comparative numerosity judgements。The Annual Meeting of the Psychonomic Society。St. Louis, MO.。 | | 7. | Siegel, A.、Goldsmith, L. T.、Madson, C. R.(1980)。How many words on this page? The development of children's estimation strategies。The Annual Meeting of the Psychonomic Society。St. Louis, MO.。 | | 8. | Underwood, D. J.(1977)。Developmental concerns related to place value。The 55th Annual Meeting of the National Council of Teachers of Mathematics。Cincinnati, Ohio。 | 研究報告| 1. | Ward, M.(1979)。Mathematics and the 10-year-old-Schools。 | | 2. | Carpenter, T. P.(1971)。The role of equivalence and order relations in the development and coordination of the concepts of unit size and number of units in selected conservation type measurement problems。Madison：The University of Wisconsin, Wisconsin Research and Development Center for Cognitive Learning。 | | 3. | Department of Education and Science, Assessment of Performance Unit(1980)。Mathematica Development。HMSO。 | | 4. | Hiebert, J.(1979)。The effect of cognitive development on first-grade children's ability to learn linear measurement concepts。Madison：Wisconsin Research and Development Center for Individualized Schooling。 | 學位論文| 1. | Gibson, O. E.(1981)。A Study of the Ability of Children with Spina Bifida to Handle Money(碩士論文)。University of London。 | 圖書| 1. | Piaget, J.(1967)。Six Psychological Studies。New York：Random House。 | | 2. | Piaget, Jean、Pomerans, A. J.(1969)。The child's conception of time。Routledge & Kegan Paul。 | | 3. | Anglin, J. M.(1977)。Word, object, and conceptual development。New York：Norton。 | | 4. | Ginsburg, H.(1977)。Children's arithmetic: The learning process。NY：D. van Nostrand。 | | 5. | Kamii, C.(1982)。Number in preschool and kindergarten。Washington, DC：National Association for the Education of children。 | | 6. | Inhelder, B.、Sinclair, H.、Bovet, M.(1974)。Learning and the development of cognition。Cambridge, Mass.：Harvard University Press。 | | 7. | Ginsburg, P.、Opper, S.(1979)。Piaget's theory of intellectual development。New Jersey：Prentice Hall。 | | 8. | Gelman, R.、Gallistel, C. R.(1978)。The child's understanding of number。Cambridge, MA：Harvard University Press。 | | 9. | 簡楚瑛(1988)。幼兒、親職、教育。臺北：文景。 延伸查詢 | | 10. | 王文科(1983)。認知發展理論與教育。臺北市：五南。 延伸查詢 | | 11. | 蘇建文(1992)。發展心理學。台北：心理出版社。 延伸查詢 | | 12. | Baroody, A. J.(1987)。Children's Mathematical Thinking。N.Y.：Teachers College of Columbia University。 | | 13. | Beilin, H.(1975)。Studies in the cognitive basis of language development。New York：Academic Press。 | | 14. | Brainerd, C. J.(1979)。The origins of the number concept。New York：Praeger。 | | 15. | Bruner, Jerome S.(1962)。On fnouring。Cambridge, Mess.：Harvard University Press。 | | 16. | Dickson, L.、Brown, M.、Gibson, O.(1984)。Children Learning Mathematics: A Teacher's Guide to Recent Research。Oxford：Alden Dress。 | | 17. | Giles, G.(1977)。School Mathematics under Examination 2: A Comparison of the Cognitive Effects of Individualised Learning and Conventional Teaching。University of Sterling。 | | 18. | Ginsburg, H.(1983)。The Development of Mathematical Thinking。N. Y.：Academic Press。 | | 19. | Lovell, K.(1966)。The Growth of Basic Mathematical and Scientific Concepts in Children。Sevenoaks：Hodder & Stoughton Educational。 | | 20. | Mussen, P. H.(1983)。Handbook of Child Psychology。N. Y.：John Wiley & Sons。 | | 21. | Phillips, John L. Jr.(1975)。The Origins of Intellect: Piaget's theory。San Francisco：W. H. Freeman & Co。 | | 22. | Piaget, J.、Inhelder, B.(1969)。The Psychology of the Child。New York：Basic Books：W. W. Norton & Company Inc。 | | 23. | Piaget, J.、Inhelder, B.、Szeminska, A.(1960)。The Child's Conception of Geometry。London：Routledge and Kegan Paul。 | | 24. | Sekuler, R.、Mierkiewicz, D.(1977)。Children's judgment。 | | 25. | Thyer. D.、Maggs, J.(1971)。Teaching Mathematics to Young Children。Eastbourne：Holt, Rinehart and Winston Ltd.。 | 圖書論文| 1. | Weinzweig, A. I.(1978)。Mathematical Foundations for the Development of Spatial Concepts in Children。Recent Research Concerning the Development of Spatial and Geometric Concepts。The Ohio State University: ERIC Clearinghouse for Science Mathematics and Environmental Education. College of Education。 | | 2. | Carpenter, T. P.、Corgbitt, M. K.、Kepner, H. S.、Lindquitst, M. M.、Reys, R. E.(1981)。National assessment。Mathematics education research: Implications for the 80's。Alexandria, VA.：Association for Supervision and Curriculum Development。 | | 3. | Carpenter, T. P.、Osborne, A. R.(1976)。Needed Research on Teaching and Learning Measure。Number and Measurement: Papers for a Research Workshop。Ohio：Eric/SMEAC Center, Ohio State University。 | | 4. | Carpenter, T. P.(1976)。Analysis and Synthesis of Existing Research on Measurement。Number and Measurement: Papers for a Research Workshop。Ohio：Eric/SMEAC Center, Ohio State University。 | | 5. | Davydov, V. V.、Bigelow, A.(1975)。The psychological characteristics of the "pre-numerical" period of mathematics instruction。Soviet studies in the psychology of learning and teaching mathematics。Chicago：The University of Chicago Press。 | | 6. | Davydov, V. V.(1982)。The psychological characteristics of the formation of elementary mathematical operations in children。Addition and subtraction: A developmental perspective。Hillsdale, N. J.：Lawrence Erlbaum Associates。 | | 7. | Fuson. K.(1978)。An Analysis of Research Needs in Projective Affine and Similarity Geometries Including an Evaluation of Piaget's Results in These Areas。Recent Research Concerning the Development of Spatial and Geometric Concepts。The Ohio State University, ERIC Clearinghouse for Science Mathematics and Environmental Education。 | | 8. | Fuson, K. C.、Richards, J.、Briars, D. J.(1982)。The acquisition and elaboration of the number word sequence。Progress in cognitive development: children's logical and mathematical cognition。New York：Springer-Verlag。 | | 9. | Fuson, K. C.(1992)。Research on Whole Number Addition and Subtraction。Handbook of Research on Mathematics Teaching and Learning: A project of the national council of teachers of mathematics。New York, NY：Macmillan。 | | 10. | Fuson, K. C.、Hall, J. W.(1983)。The Acquisition of Early Number Word Meanings: A Conceptual Analysis and Review。The Development of Mathematical Thinking。New York：Academic Press。 | | 11. | Galpenin, P. Y.、Georgiev, L. S.(1969)。The Formation of Elementary Mathematics Notions。Soviet Studies in the Psychology of Learning and Teaching Mathematics, Vol. 1: The Learning of Mathematical Concepts。School Mathematics Group, Stanford University。 | | 12. | Gelman, R.、Baillargeon, R.(1983)。A review of Piagetian concepts。Handbook of child psychology。New York：John Wiley and Sons。 | | 13. | Resnick, L. B.(1983)。A Developmental Theory of Number Understanding。The Development of Mathematical Thinking。Academic Press。 | | 14. | Siegler, R. S.、Robinson, M.(1982)。The development of numerical understanding。Advances in child development and behavior。New York：Academic Press。 | |