| 期刊論文1. | Karplus, R.、Peterson, R.(1970)。Intellectual Development Beyond Elementary School II: Ratio, A Survey。School Science and Mathematics,70(9),813-820。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 2. | Noelting, G.(1980)。The development of proportional reasoning and the ratio concept: Part 1-Differentiation of stages。Educational Studies in Mathematics,11,217-253。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 3. | Noelting, G.(1980)。The development of proportional reasoning and the ratio concept. Part II-Problem-structure at successive stages: Problem solving strategies and the mechanism of adaptive restructuring。Educational Studies in Mathematics,11,331-363。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 4. | Karplus, E. F.、Karplus, R.、Wollman, W.(1974)。Intellectual development beyond elementary school IV: Ratio, the influence of cognitive style。School Science and Mathematics,74(6),476-482。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 5. | 吳靜吉、丁興祥、王敬仁(19790600)。場地獨立性的發展及其相關因素之研究。教育與心理研究,3,118-140。 延伸查詢![new window](/gs32/images/newin.png) | 6. | 任晟蓀(19860300)。臺東縣國民小學數學科新課程實施現況之研究。國教之聲,19(3),1-22。 延伸查詢![new window](/gs32/images/newin.png) | 7. | Hart, K. M.(1981)。Hierarchies in mathematics education。Educational Studies in Mathematics,12(2),205-218。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 8. | 黃湘武(19850200)。國中學生質量守恒,重量守恒,外體積觀念,與比例推理能力之抽樣調查與研究。中等教育,36(1),44-65。 延伸查詢![new window](/gs32/images/newin.png) | 9. | 郭素珍(19830600)。比例概念暨學童認知發展關聯之研究。教育學院學報,8,547-592。 延伸查詢![new window](/gs32/images/newin.png) | 10. | 黃堅厚(1964)。瑞文氏非文字推理測驗之應用。測驗年刊,11,20-23。 延伸查詢![new window](/gs32/images/newin.png) | 11. | Kieren, T. E.、Southwell, B.(1979)。The development in children and adolescents of the construct of rational numbers as operators。The Alberta Journal of Educational Research,25(4),234-247。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 12. | Adi, H.、Pulos, S.(1980)。Individual differences and formal operational performance of college students。Journal for Research in Mathematics Education,11(2),150-156。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 13. | Bart, W. M.(1972)。Construction and validation of formal reasoning instruments。Psychological Reports,30,663-670。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 14. | Cloutier, R.、Goldschmid, M. L.(1978)。Training proportionality through peer instruction。Instructional Science,7,127-142。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 15. | Tourniaire, Françoise(1987)。Proportions in elementary school。Educational Studies in Mathematics,18(1),400-412。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 16. | Lawson, A. E.(1977)。Relationships among performances on three formal operation tasks。Journal of Psychology,96,235-241。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 17. | Lawson, A. E.(1979)。Relationships among performances on group-administered items of formal reasoning。Perceptual and Motor Skills,48,71-78。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 18. | Lawson, A. E.(1982)。Formal reasoning, achievement, and intelligence: an issue of importance。Science Education,66(1),77-83。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 19. | Linn, M. C.、Pulos, S.(1983)。Aptitude and experience influences on proportional reasoning during adolescence: focus on male-female differences。Journal for Research in Mathematics Education,14(1),30-46。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 20. | Linn, M. C.、Swiney, J. F. Jr.(1981)。Individual differences in formal thought。Journal of Educational Psychology,73(2),274-386。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 21. | Martorano, S. C.(1977)。A developmental analysis of performance on Piaget's formal operations tasks。Developmental Psychology,13(6),666-672。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 22. | Pulos, S.、Karplus, R.、Stage, E. K.(1981)。Generality of proportional reasoning in early adolescents: Content effects and individual differences。Journal of Early Adolescence,1,257-264。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 23. | Pulos, S.、Stage, E. K.、Karplus, R.(1982)。Setting effects in mathematical reasoning of early adolescents。Journal of Early Adolescence,2(1),39-60。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 24. | Roberge, J. J.、Flexer, B. K.(1979)。Further examination of formal operational reasoning abilities。Child Development,50,478-484。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 25. | Ross, R. J.(1973)。Some empirical parameters of formal thinking。Journal of Youth and Adolescence,2(2),167-177。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 26. | Wilkening, F.、Anderson, N. H.(1982)。Comparison of two rule-assessment methodologies for studying cognitive development and knowledge structure。Psychological Bulletin,92(1),215-237。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 27. | 林福來(19841000)。青少年的比例概念發展。科學教育,73,7-26。 延伸查詢![new window](/gs32/images/newin.png) | 28. | 簡茂發(1980)。熟悉圖形配對測驗簡介。測驗與輔導,9(5),688。 延伸查詢![new window](/gs32/images/newin.png) | 29. | 簡茂發(19800600)。教育研究的統計方法(2)--單因子變異數分析與多重比較法。國立臺灣師範大學教育研究所集刊,22,左1-18。 延伸查詢![new window](/gs32/images/newin.png) | 30. | Joyce, L. K.(1977)。A study of formal reasoning in elementary education majors。Science Education,61(2),153-158。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 31. | Movshovitz-Hadar, Nitsa、Zaslavsky, Orit、Inbar, Shlomo(1987)。An empirical classification model for errors in high school mathematics。Journal for Research in Mathematics Education,18(1),3-14。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 32. | Ricco, G.(1982)。Les premieres acquisitions de la notion de fonction lineaire chez l'enfant de 7 A 11 ans。Educational Studies in Mathematics,13(3),289-327。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 33. | 吳裕益(19870300)。認知能力與認知型態個別差異現象之探討。教育學刊,7,253-300。 延伸查詢![new window](/gs32/images/newin.png) | 34. | Fischbein, E.、Pampu, I.、Manzat, I.(1970)。Comparison of ratios and the chance concept in children。Child Development,41,377-389。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 會議論文1. | 林光賢、林福來、郭汾派(1986)。比和比例的瞭解層次與認知階段。中華民國七十四年度科學教育學術研討會,139-250。 延伸查詢![new window](/gs32/images/newin.png) | 2. | Newton, R.、Copie, W.、Tobin, K. G.(1981)。Patterns of reasoning: Proportional Reasoning。The annual meeting of the National Association for Research in Science Teaching。New York:Grossinger。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 3. | 林福來、郭汾派、林光賢(1986)。比例推理的錯誤診斷與補救教學。中華民國七十四年度科學教育學術研討會,115-138。 延伸查詢![new window](/gs32/images/newin.png) | 4. | Riebman, B.、Overton, W.(1977)。Reflection-impulsivity and the utilization of formal operational thought。The biennal meeting of the Society for Research in Child Development。New Orleans。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 5. | 林福來、郭汾派、林光賢(1985)。國中生的比例推理能力。中華民國74年科學教育學術研討會。 延伸查詢![new window](/gs32/images/newin.png) | 6. | Biemiller, A.(1981)。A Neo-Piagetian Approach to Development During the Formal Operational Period。The Eleventh Annual International Conference on Piagetian Theory and its Implications for the Helping Professions。Los Angeles:University of Southern California。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 7. | Wozny, C. D.、Cox, D. L.(1975)。The effects of task differences on the assessment of formal operational thinking。The annual meeting of the American Educational Research Association。Washington, D. C.。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 研究報告1. | 林福來、郭汾派、林光賢(1985)。國中生的比例概念發展 (計畫編號:NSC74-0111-S003-02)。師大數學系。 延伸查詢![new window](/gs32/images/newin.png) | 2. | Karplus, R.、Karplus, E.、Formisano, M.、Paulsen, A. C.(1975)。Proportional reasoning and control of variables in seven countries。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 3. | Quintero, A. H.、Schwartz, J. L.(1982)。The development of the concept of ratio in children。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 學位論文1. | Gold, A. P.(1978)。Cumulative learning versus cognitive development:A comparison of two different theoretical bases for planning remedial instruction in arithmetic(博士論文)。University of California。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 2. | 洪碧芳(1986)。國小學生對於「相當問題」學習情況研究(碩士論文)。國立臺灣師範大學。 延伸查詢![new window](/gs32/images/newin.png) | 3. | Furman, I.(1981)。The development of problem-solving strategies: A neopiagetian analysis of children's performance in a balance task(博士論文)。University of California。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 4. | Tourniaire, Francoise(1984)。Proportional reasoning in grades three, four and five(博士論文)。University of California。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 5. | 江南青(1985)。比例概念的診斷與補救(碩士論文)。國立臺灣師範大學。 延伸查詢![new window](/gs32/images/newin.png) | 圖書1. | Polya, G.、張憶壽(1981)。怎樣解題。長橋出版社。 延伸查詢![new window](/gs32/images/newin.png) | 2. | Inhelder, B.、Piaget, J.(1958)。The growth of logical thinking from childhood to adolescence。New York, NY:Basic Books。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 3. | Hart, K. M.(1981)。Children's Understanding of Mathematics: 11-16。London:John Murray。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 4. | Witkin, H. A.、Goodenough, D. R.(1981)。Cognitive style: Essence and origins。New York:International Universities Press。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 5. | 吳靜吉(1975)。藏圖測驗。臺北:遠流出版社。 延伸查詢![new window](/gs32/images/newin.png) | 6. | 吳武典(1976)。教育診斷工具評介:中國語句完成測驗。國立臺灣師範大學特殊教育中心。 延伸查詢![new window](/gs32/images/newin.png) | 7. | Hart, K. M.(1984)。Ratio: Children's Strategies and Errors。N.F.E.R.-Nelson。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 8. | 黃瑞煥(1985)。統計學應用程式集BASIC。台北:儒林圖書有限公司。 延伸查詢![new window](/gs32/images/newin.png) | 9. | 王文科(1986)。教育研究法。台北:五南圖書出版有限公司。 延伸查詢![new window](/gs32/images/newin.png) | 10. | Skemp, Richard R.、林義雄、陳澤民(1985)。數學學習心理學。九章出版社。 延伸查詢![new window](/gs32/images/newin.png) | 11. | Piaget, J.、Grize, J. B.、Szeminska, A.、Bang, Vinh(1968)。Epistemologie et Psychologie de la fonction。Paris:Presses Universitaires de France。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 12. | 郭俊民(1975)。兒童的認知發展及其教育:皮愛傑的觀察,實驗與理論。霧峰出版社。 延伸查詢![new window](/gs32/images/newin.png) | 13. | 郭生玉(1981)。心理與教育研究法。大世紀出版社。 延伸查詢![new window](/gs32/images/newin.png) | 14. | 林清山(1980)。多變項分析統計法。臺北市:東華書局。 延伸查詢![new window](/gs32/images/newin.png) | 15. | 林清山(1974)。心理與教育統計學。東華書局。 延伸查詢![new window](/gs32/images/newin.png) | 其他1. | Skemp,呂溪木(1983)。關係的瞭解與機械性瞭解。 延伸查詢![new window](/gs32/images/newin.png) | 圖書論文1. | Vergnaud, G.(1983)。Multiplicative structures。Acquisition of Mathematics Concepts and Processes。New York:Academic Press。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 2. | Horn, J. L.(1982)。The aging of human abilities。Handbook of developmental psychology。Prentice-Hall。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 3. | Karplus, R.、Pulos, S.、Stage, E. K.(1983)。Proportional reasoning of early adolescents。Acquisition of mathematical concepts and processes。New York, NY:Academic Press。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 4. | Karplus, R.(1981)。Education and formal thought--a modest proposal。New directions in Piagetian theory and practice。Hillsdale, N.J.:L. Erlbaum Associates。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 5. | 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。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 6. | Karplus, R.、Karplus, E.、Formisano, M.、Paulsen, A.(1979)。Proportional reasoning and control of variables in seven countries。Cognitive Process Instruction。Philadelphia:The Franklin Institute Press。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 7. | de Ribaupieire, A.、Pascual-Leone, J.(1979)。Formal operations and M-power: A neo-Piagetian investigation。Intellectual Development beyond Childhood。San Francisco:Jossey-Bass。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | 8. | Vergnaud, G.(1980)。Didactics and acquisition of multiplicative structures in secondary schools。Cognitive Development Research in Science and Mathematics。Leeds:University of Leeds。 ![](/gs32/thssjcncl/image/nclsfx.gif) ![new window](/gs32/images/newin.png) | |