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B.、McKnight, C.(1980)。The influence of semantic content on algorithmic behavior。The Journal of mathematical behavior，3，39-87。 | | 16. | 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(3)，180-206。 | | 17. | Gelman, R.(1980)。What young children know about number。Education psychology，15(1)，54-68。 | | 18. | Gluck, D. H.(1991)。Helping students understand place value。Arithmetic Teacher，38(7)，10-13。 | | 19. | Fuson, K. C.(1990)。Issues in Place-Value and Multidigit Addition and Subtraction Learning and Teaching。Journal for research mathematics education，21(4)，273-280。 | | 20. | Hiebert, J.、Wearne, D.(1992)。Link between teaching and learning place value understanding in first grade。Journal for research mathematics education，23(2)，98-122。 | | 21. | Kamii, C.、Joseph, L.(1988)。Teaching place value and double-column addition。Arithmetic Teacher，35(6)，48-52。 | | 22. | Kouba, V. L.、Brown, C. A.、Carpenter, T. P.、Lindquist, M. M.、Silver, E. A.、Swafford, J. O.(1988)。Result of the fourth NEAP assessment of mathemetics: Number, operation, word problems。Arithmetic Teacher，35(8)，14-19。 | | 23. | Lappan, G.、Payne, J. N.(1988)。Place value for tens and ones。Arithmetic Teacher，35(6)，64-66。 | | 24. | Miura, Irene T.、Kim, C. C.、Chang, Chih-Mei、Okamoto, Y.(1988)。Children's cognitive representation of number: Cross-nation comparisons。Child Development，59，1445-1450。 | | 25. | Ross, S. H.(1989)。Parts, whole, and place value: A developmental view。Arithmetic Teacher，36(6)，47-52。 | | 26. | Smith, R. F.(1973)。Diagnosis of pupil performance on place value task。Arithmetic Teacher，20(4)，3-8。 | | 27. | Uprichard, A. E.(1977)。The effect of emphasizing mathematical structure in the acquisition of whole number computation skills (addition and subtraction) by seven and eight year old: A clinical investigation。School Science and Mathematics，77，97-104。 | | 28. | Van de Walle, J.、Thompson, C. S.(1981)。Les't dolt give bean a new look。Arithmetic Teacher，28(7)，6-12。 | | 29. | Young, R. M.、O'Shea, T.(1981)。Errors in children's sub traction。Cognitive Science，5，153-177。 | 會議論文| 1. | 甯自強(1992)。兒童的「整數詞」意義。中華民國第八屆科學教育研討會，(會議日期: 1992/12/05)。高雄市：國立高雄師範大學。 延伸查詢 | | 2. | Engelhart, J. M.、Ashlock, R. B.(1979)。Computational errors as indication of place-value misunderstanding。The annual meeting of the Research Council for Diagnostic/Prescriptive Mathematics。Tampa, Florida。 | | 3. | Hiebert, J.、Wearne, D.(1983)。Student's conceptions of decimal numbers。Annual meeting of the American Educational Research Association。Montreal。 | | 4. | Kamii, M.(1980)。Place value: children's efforts to find a correspondence between digits and numbers of objects。The Tenth Annual Symposium of the Team Piaget Society。Philadelphia。 | | 5. | Omanson, S. F.、Pelad, I.、Resnick, L. B.(1982)。The effects of mapping instruction on children's procedural bugs in subtraction。The annual meeting of the American Educational Research Association。New York。 | 研究報告| 1. | 甯自強(1993)。兒國小低年級兒童數概念發展研究（I）--「數概念」類型研究。 延伸查詢 | 學位論文| 1. | 楊淑芬(1992)。從皮亞傑的認識論談數學史與數學教育的關聯(碩士論文)。國立臺灣師範大學。 延伸查詢 | | 2. | 蔡春美(1982)。臺東縣山地兒童面積保留與面積測量概念(碩士論文)。國立臺灣師範大學。 延伸查詢 | 圖書| 1. | 黃光雄、簡茂發(1993)。教育研究法。臺北：師大書苑。 延伸查詢 | | 2. | Gelman, R.、Gallistel, C. R.(1978)。The child's understanding of number。Cambridge, Mass.：Harvard University Press。 | | 3. | McShane, J.(1991)。Cognitive development: An information processing approach。Basil Blackwell。 | | 4. | 鈴木質、林川夫(19940100)。臺灣蕃人風俗誌。台北市：武陵出版有限公司。 延伸查詢 | | 5. | 李金泉(1994)。SPSS/PC+實務與應用統計分析。臺北市：松崗。 延伸查詢 | | 6. | 教育部(1994)。國民小學課程標準。臺北：台捷國際文化。 延伸查詢 | | 7. | 教育部國民教育司(1976)。國民小學課程標準。臺北：正中書局。 延伸查詢 | | 8. | 國立編譯館(1994)。國民小學數學教學指引。臺北：國立編譯館。 延伸查詢 | | 9. | 許天維(1994)。數學試題分析法--以「八十一學年度國民教育階段小學數學科基成就本評量」為例。高雄市：大漢唐。 延伸查詢 | | 10. | 林清山(1993)。心理與教育統計。台北市：東華書局。 延伸查詢 | | 11. | 周筱亭(1988)。國民小學數學科數與計算教材探討。板橋市：台灣省國民學校教師研習會。 延伸查詢 | | 12. | Underhill, R. G.、陳梅生、周筱亭(1989)。美國小學數學教學。板橋市：台灣省國民學校教師研習會。 延伸查詢 | | 13. | 臺灣省板橋教師研習會(1994)。國民小數學實驗課程教師手冊。板橋市：臺灣省板橋教師研習會。 延伸查詢 | | 14. | 簡茂發(1990)。心理測驗與統計方法。台北市：心理出版社。 延伸查詢 | | 15. | Copeland, R. W.(1984)。HOW children learn mathematics。NEW YORK：Macmillan Publishing Company。 | | 16. | Flegg, G.(1989)。Numbers Through the Ages。Macmillan Education LTD。 | | 17. | National Council of teachers of Mathematics(1989)。Curriculum and evaluation standard for school mathematics。Reston, VA：The National Council of teacher of Mathematics。 | | 18. | Sovchik, Robert J.(1989)。Teaching mathematics to children。NEW YORK：Harper & Row Publishers, Inc。 | 單篇論文| 1. | Bentley, Prudence A.(1987)。Defense of the child's-play method for teaching the place value notation concept to elementary and preschool children(ED 291-492)。 | | 2. | Harvin, V. R.(1984)。When do children understand the concept place value?(ED 244 821)。 | | 3. | Hinrichs, J. V.(1982)。Number place-value Information: Task analysis and development (Final report for NIE). University of Iowa(ED 221-298)。 | | 4. | Kamii, C.(1982)。First graders invent arithematic: Piaget's theory used in the classroom(ED 221-298)。 | 其他| 1. | Artuso, M.(1993)。Children's understanding of place value in mathematics: A cognitive development view。 | | 2. | De Flandre, C.(1975)。The development of a unit of study on place value numeration systems, grades two, three, and four。 | | 3. | Dominick, A. M.(1991)。Third-graders' understanding of the multidigit subtraction algorithm (subtraction algorithm)。 | | 4. | Fishell, F. E.(1975)。The effect of a math trading game on achievement and attitude in fifth grade divison。 | | 5. | Gotow, D. F.(1985)。Identification of numerical principles prerequisite to functional understanding of place value(numeration, Piaget, (primary)mathematics, addition, subtraction, number concepts)。 | | 6. | Hong, H.(1989)。Effects of counting by tens on numerical abilities of young children。 | | 7. | Kamii, M.(1982)。Children's graphic representation of numerical concepts: A developmental study。 | | 8. | Lairon, M. A.(1987)。The relationship of numer and part/whole conceptual Knowledge and math task performance of first and second grade students。 | | 9. | Langrall, C. W.(1993)。Cognitive constructivist perspectives on place-value instruction in second-grade classroom。 | | 10. | Rickman, C. M.(1983)。An investigation of third and fourth grade students' understanding of a decomposition subtraction algorithm based on individual interview。 | | 11. | Ross, S. H.(1985)。The development of children's place- value numeration concepts in grade two through five, university of California, Berkley，Berkley。 | | 12. | Smith, C. W.(1969)。A study of constant errors in subtraction and in the application of selected principle of the decimal numeration system made by third and fourth grade children。 | | 13. | Smith, R. F.(1972)。A Diagnostic study of pupil performance on a test of skills relevant to the mastery of place vaue task。 | | 14. | Usnick, V. E.(1985)。Instructional sequence, manipulative materials, and addition with regrouping (algorithm, renaming, computation)。 | | 15. | Yang, Ma Tzu-Lin(1993)。An investigation of cultural variations in Chinese and American arithmetic learning contexts。 | 圖書論文| 1. | Fuson, K. C.、Hall, J. W.(1983)。The acquisition of early number word meanings: A conceptual analysis and review。The development of mathematical thinking。NY：Acdemic Press。 | | 2. | Resnick, L. B.(1983)。A developmental theory of number understanding。The development of mathematical thinking。Academic Press。 | | 3. | Moser, J. M.(1988)。Arithmtic operation whole numbers: Numeration and place value。Teaching Mathematics In Grades K-8: Research based methods。Boston：Allyn and Bacon, INC。 | |