| 期刊論文| 1. | Starkey, P.(1992)。The early development of numerical reasoning。Cognition，43，93-126。   | | 2. | Fuson, K. C.、Kwon, Y.(1992)。Korean children’s single-digit addition and subtraction: Numbers structured by ten。Journal for Research in Mathematics Education，23，148-165。 | | 3. | 江淑卿、陳昱蓁、潘于君(20080500)。幼稚園與二年級兒童速度概念之微觀發展研究。臺北市立教育大學學報．教育類，39(1)，61-95。 延伸查詢 | | 4. | 袁媛(200112)。新竹地區學齡前幼兒數概念研究。明新學報，27，207-216。 延伸查詢 | | 5. | 魏培容、郭李宗文、高志誠、高傳正(20110700)。新住民與非新住民家庭之幼兒數學能力與語言能力的比較研究。幼兒教育年刊，22，153-171。 延伸查詢 | | 6. | 杜雪淇、阮淑宜、林珮伃(20110700)。弱勢家庭與非弱勢家庭大班幼兒數學能力之研究。幼兒教育年刊，22，21-41。 延伸查詢 | | 7. | 張麗芬、林毓芬(20120900)。幼兒數學圖畫表徵之研究。屏東教育大學學報. 教育類，39，1-34。 延伸查詢 | | 8. | Baroody, A. J.(2006)。Why children have difficulties mastering the basic number combinations and how to help them?。Teaching Children Mathematics，13(1)，22-31。 | | 9. | Baroody, A. J.、Eiland, M.、Thopmson, B.(2009)。Fostering at-risk preschoolers' number sense。Early Education and Development，20，80-128。 | | 10. | Baroody, A. J.、Tiilikaninen, S. H.、Tai, Y.-C.(2006)。The application and development of an addition goal sketch。Cognition and Instruction，24，123-170。 | | 11. | Bjorklund, D. F.、Rosenblum, K. E.(2001)。Children's use of multiple and variable addition strategies in a game context。Developmental Science，4(2)，184-194。 | | 12. | Bjorklund, D. F.、Rosenblum, K. E.(2002)。Context effects in children's selection and use of simple arithmetic strategies。Journal of Cognition and Development，3(2)，225-242。 | | 13. | Canobi, K. H.、Reeve, R. A.、Pattison, P. E.(1998)。The role of conceptual understanding in children's addition problem solving。Developmental Psychology，34，882-891。 | | 14. | Carpenter, T. P.、Moser, J. M.(1984)。The acquisition of addition and subtraction concepts in grade one to three。Journal for Research in Mathematics Education，13，179-202。 | | 15. | Chen, Z.、Siegler, R. S.(2000)。Across the great divide: Bridging the gap between understanding of toddlers' and older children's thinking。Monographs of the Society for Research in Child Development，65(2)，1-96。 | | 16. | Cheng-Zijuan、Chan, L. K. S.(2005)。Chinese number-naming advantages? Analyses of Chinese preschoolers' computational strategies and errors。International Journal of Early Years Education，13(2)，179-192。 | | 17. | Fuchs, L. S.、Geary, D. C.、Compton, D. L.、Fuchs, D.、Hamlett, C. L.、Bryant, J. D.(2010)。contributions of numerosity and domain-general abilities to school readiness。Child Development，81，1520-1533。 | | 18. | Jordan, N. C.、Huttenlocher, J.、Levine, S. C.(1992)。Differential calculation abilities in young children from middle- and low-income families。Developmental Psychology，28(4)，644-653。 | | 19. | Jordan, N. C.、Kaplan, D.、Locuniak, M. N.、Ramineni, C.(2007)。Predicting first-grade math achievement from developmental number sense trajectories。Learning Disabilities Research & Practice，22(1)，36-46。 | | 20. | Jordan, N. C.、Kaplan, D.、Ramineni, C.、Locuniak, M. N.(2008)。Development of number combination skill in the early school years: When do fingers help?。Developmental Science，11(5)，662-668。 | | 21. | Jordan, N. C.、Kaplan, D.、Ramineni, C.、Locuniak, M. N.(2009)。Early math matters:Kindergarten number competence and later mathematics outcomes。Developmental Psychology，45(3)，850-867。 | | 22. | Kamii, C.、Rummelsburg, J.、Kari, A.(2005)。Teaching arithmetic to low-performing, low-SES first graders。Journal of Mathematical Behavior，24(1)，39-50。 | | 23. | Ng, S. S. N.、Rao, N.(2010)。Chinese number words, culture, and mathematics learning。Review of Educational Research，80(2)，180-206。 | | 24. | Robinson, B. F.、Mervis, C. B.(1998)。Disentangling early language development:Modeling lexical and grammatical acquisition using and extension of case-study methodology。Developmental Psychology，34，363-375。 | | 25. | Siegler, R. S.(2000)。The rebirth of children's learning。Child Development，71(1)，26-35。 | | 26. | Spencer, J. P.、Vereijken, B.、Diedrich, F. J.、Thelen, E.(2000)。Posture and the emergence of manual skills。Developmental Science，3，216-233。 | | 27. | van Essen, G.、Hamaker, C.(1990)。Using self-generated drawings to solve arithmetic word problems。Journal of Educational Research，83(6)，301-312。 | | 28. | 馬祖琳(20011200)。幼兒數學教室之分析研究。生活應用科技學刊，3(3)，361-382。 延伸查詢 | | 29. | Gersten, R.、Jordan, N. C.、Flojo, J. R.(2005)。Early identification and interventions for students with mathematics difficulties。Journal of Learning Disabilities，38(4)，293-304。 | | 30. | 王國亨、簡清華(20080900)。屏東縣國小一年級新生的數與計算能力。教育實踐與研究，21(2)，1-32。 延伸查詢 | | 31. | Carraher, T. N.、Carraher, D. W.、Schliemann, A. D.(1985)。Mathematics in the streets and in schools。British Journal of Developmental Psychology，3，21-29。 | | 32. | 陳彥廷(20081200)。數概念教學活動實踐中幼兒的表現分析：以「十以內合成與分解」為例。科學教育研究與發展季刊，51，60-90。 延伸查詢 | | 33. | 許惠欣(19970600)。我國幼稚園幼兒數算策略之研究。臺南師院學報，30，339-372。 延伸查詢 | | 34. | Fennema, E.、Carpenter, T. P.、Jacobs, V. R.、Franke, M. L.、Levi, L. W.(1998)。A longitudinal study of gender differences in young children's mathematical thinking。Educational Researcher，27(5)，6-11。 | | 35. | Brown, John Seely、Collins, Allan、Duguid, Paul(1989)。Situated Cognition and the Culture of Learning。Educational Researcher，18(1)，32-42。 | | 36. | 賴孟龍、陳芸鍾(20100300)。三至五歲幼兒基本加減法的發展：「性別」&「社經地位」的差異開始了嗎？。台灣數學教師（電子）期刊，21，20-51。 延伸查詢 | | 37. | Carraher, T. N.、Carraher, D. W.、Schliemann, A. D.(1987)。Written and oral mathematics。Journal for Research in Mathematics Education，18(2)，83-97。 | | 38. | Siegler, R. S.、Crowley, K.(1991)。The microgenetic method: A direct means for studying cognitive development。American Psychologist，46，606- 620。 | | 39. | Young-Loveridge, J. M.(2004)。Effects on early numeracy of a program using number books and games。Early Childhood Research Quarterly，19，82-98。 | | 40. | Ashcraft, M. H.(1992)。Cognitive arithmetic: A review of data and theory。Cognition，44，75-106。 | | 41. | Geary, D. C.、Bow-Thomas, C.、Liu, F.、Siegler, R. S.(1996)。Development of arithmetical competencies in Chinese and American children: Influence of age, language, and schooling。Child Development，67，2022-2044。 | | 42. | Geary, D. C.、Hoard, M. K.、Byrd-Craven, J.、DeSoto, M. C.(2004)。Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability。Journal of Experimental Child Psychology，88(2)，121-151。 | | 43. | Levine, S. C.、Jordan, N. C.、Huttenlocher, J.(1992)。Development of calculation abilities in young children。Journal of Experimental Child Psychology，53(1)，72-103。 | | 44. | Klein, J. S.、Bisanz, J.(2000)。Preschoolers doing arithmetic: The concepts are willing but the working memory is weak。Canadian Journal of Experimental Psychology，54(2)，105-115。 | 研究報告| 1. | 陳俞君、陳品華、陳英娥、曹純瓊、李錦雯、吳柳嬌、楊筱明(2003)。營造幼兒數概念學習環境之研究 (計畫編號：NSC91-2521-S-242-001)。高雄縣：輔英科技。 延伸查詢 | 學位論文| 1. | 李淑娟(2008)。父親和幼兒的互動與幼兒簡單加法運算能力之關係(碩士論文)。國立臺南大學，臺南市。 延伸查詢 | | 2. | 陳怡如(2011)。不同社經地位與性別之幼兒的加法運算能力與策略之研究(碩士論文)。國立臺南大學，臺南市。 延伸查詢 | 圖書| 1. | Siegler, R. S.(1996)。Emerging minds: The process of change in children's thinking。New York：Oxford University Press。 | | 2. | Baroody, A. J.、Lai, M.、Mix, K. S.(2006)。The development of young children's early number and operation sense and its implications for early childhood education。Handbook of research on the education of young children。Hillsdale, NJ：Lawrence Erlbaum Associates。 | | 3. | Carpenter, T. P.、Fennema, E.、Franke, M. L.、Levi, L.、Empson, S. B.(1999)。Children's mathematics: Cognitively Guided Instruction。Portsmouth, NH：Heinemann。 | | 4. | Carr, M.、Hettinger, H.(2003)。Perspectives on mathematics strategy development。Mathematical cognition。Greenwich, Connecticut：Information Age Publishing。 | | 5. | Fuson, K.(1982)。An analysis of the counting-on solution procedure in addition。Addition and subtraction: A cognitive perspective。Hillsdale, NJ：Erlbaum。 | | 6. | Ginsburg, H. P.(1989)。Children's arithmetic。PRO-Ed, Inc。 | | 7. | Guberman, S. R.(1999)。Supportive environments for cognitive development: Illustrations from children's mathematical activities outside of school。Children’s engagement in the world。Cambridge University Press。 | | 8. | Lavelli, M.、Pantoja, A. P.、Hsu, H.、Messinger, D.、Fogel, A.(2005)。Using microgenetic designs to study change processes。Handbook of research methods in developmental science。Malden, MA：Blackwell Publishing。 | | 9. | Siegler, R. S.、Jenkins, E.(1989)。How children discover new strategies。Hillsdale, NJ：Lawrence Erlbaum Associates。 | | 10. | Solmon, M.(2007)。Situated cognition。Philosophy of psychology and cognitive science。Netherlands：Elsevier B. V.。 | | 11. | Tucker, K.(2005)。Mathematics through play in the early years: Activities and ideas。London：Paul Chapman Publishing。 | | 12. | Geary, D. C.(1994)。Children’s mathematical development: Research, practical applications。Washington, DC：American Psychological Association。 | | 13. | Worthington, M.、Carruthers, E.(2003)。Children's mathematics: Making marks, making meaning。Thousand Oaks, CA：London：Sage。 | | 14. | Kilpatrick, J.、Swafford, J.、Findell, B.(2001)。Adding it up: Helping children learn mathematics。Washington, DC：National Academy Press。 | | 15. | Bjorklund, D. F.(2005)。Children’s thinking: Cognitive development and individual differences。Australia, Belmont, Calif.：Thomson/Wadsworth。 | | 16. | National Council of Teachers of Mathematics(2000)。Principles and standards for school mathematics。Reston, Virginia：National Council of Teachers of Mathematics。 | | 17. | Vygotsky, Lev Semenovich、Cole, Michael、John-Steiner, Vera、Scribner, Sylvia、Souberman, Ellen(1978)。Mind in Society: The Development of Higher Psychological Processes。Harvard University Press。 | | 18. | Kamii, C.、Housman, L. B.(2000)。Young children reinvent arithmetic: Implications of Piaget's theory。New York：Teachers College Press。 | 其他| 1. | National Association for the Education of Young Children，National Council of Teachers of Mathematics(2002)。Early childhood mathematics: Promoting good beginnings，http://www.naeyc.org/resources/position_statements/psmath.htm。 | 圖書論文| 1. | Verschaffel, L.、Greer, B.、De Corte, E.(2007)。Whole number concepts and operations。Second Handbook of research on mathematics teaching and learning: A project of the national council of teachers of mathematics。Charlotte, NC：Information Age Published Inc.。 | | 2. | Siegler, R. S.(2006)。Microgenetic analyses of learning。Handbook of child psychology: Volume 2: Cognition, perception, and language。Hoboken, NJ：John Wiley & Sons。 | | 3. | Siegler, R. S.、Shrager, J.(1984)。Strategy choices in addition and subtraction: How do children know what to do?。Origins of cognitive skills: The Eighteenth Annual Carnegie Symposium on Cognition。Hilldale, NJ：Lawrence Erlbaum Associates。 | | 4. | Clements, D. H.、Sarama, J.(2007)。Early childhood mathematics learning。Second handbook of research on mathematics teaching and learning。New York：Information Age Publishing。 | |