重要參考書目
一、中文部分
1. Austin, J.L.（1962）：Sense and Sensibilia. 感覺和所感覺的事物(陳瑞麟譯，民86)。台北：桂冠圖書公司。
2. Beckmann, P.(1971)：A History of π. π的故事(姜家齊、朱建正、林聰源 譯，民85)。台北：凡異出版社。
3. Blatner, D.(1999)：The joy of π.神奇的π(潘恩典 譯，民88)。台北：城邦出版集團。
4. Freudenthal,(1973)：Mathematics as an educational task.作為教育任務的數學(陳昌平 唐瑞芬等譯，民84)。上海教育出版社。
5. Howard Eves（1953）：An introduction to the history of mathematics. 數學史概論（歐陽絳 譯，民82）。台北：曉園。
6. Kline,M.(1980)：Mathematics The loss of Certainty. Oxford university press.數學：確定性的喪失（李宏魁 譯，民88）。湖南科學技術出版社。
7. Kline,M.（1972）：Mathematical thought from Acient to Modern Time. 數學史-數學思想的發展（ 林炎全 等譯，民72）。台北：九章出版社。
8. Lorce, M.R.(1970)：洛氏教育心裡學（張春興 汪榮才 譯，民71）。台北市：大聖書局。
9. Michael, G.(1998)： How to think like Leonardo da Vinci.7 Brains（劉蘊芳 譯，民88）。台北：大塊文化出版社。
10. Morries,R.(1997)：Achilles in the Quantum Universe:the Definitive History of Infinity.無限探索無限(黃逸華 譯，民87)。台北：新新聞文化事業。
11. Patton,M.Q.（1991）：Qualative Evaluation and Research Methods .London: SAGA Publication 質的評鑑與研究 （吳芝儀、李奉儒 譯，民84）。桂冠心裡學叢書。
12. Skemp, R. (1987)：數學學習心理學（陳澤民譯，民84）。台北：九章出版社。
13. Skemp, R. (1989)：小學數學教育-智性學習(許國輝 譯，民84)。香港公開進修學院出版社 。
14. Tomas,R.B.(1980)：The Right Brain-A new understanding of the unconscious mind and it''s creative powers.pubilshed by Ancher press.右腦與創造 (傅世俠 夏佩玉 譯，民84)。台北：凡異出版社。
15. Vygotsky,L.S.（1934）：Thought and Language. 思維與語言（李維 譯，民87）。台北：桂冠圖書公司。
16. Vygotsky,L.S.(1938)： Mind in society. 社會中的心智（蔡敏玲 陳正乾 譯，民86）。心理出版社。
17. 王仲春 等（民84）：數學思維與數學方法論。台北：建宏出版社。
18. 王昌銳 譯（民69）：連分數（Olds C.D.原著：Continued Fractions）。台北：徐氏基金會出版社。
19. 王郁華（民85）：台灣南區中學數學科教師信念之研究。高雄師範大學數學研究所碩士論文。20. 左太政（民86）：溶入式數學史教學之成效研究。國科會計畫編號NSC86-2513-S017-008。
21. 田万海（民81）：數學教育學。浙江教育出版社。
22. 朱綺鴻（民88）：現職教師對教導數學歸納法意見初探。台灣師範大學科教研究所博士論文。
23. 李兆華（民84）：中國數學史。中國文化史叢書。台北：文津出版社。
24. 李繼閔（民81）：《九章算術》及其劉徽注研究。台北：九章出版社。
25. 林義雄（民75）：高數2：整數系、有理數系。台北：九章出版社。
26. 林義雄（民76）：高數3：實數系。台北：九章出版社。
27. 施良方（民85）：學習理論。台北：麗文文化公司。
28. 施盈蘭（民84）：五專生的三角函數學習現象。台灣師範大學數學研究所碩士論文。29. 胡作玄（民86）：引起紛爭的金蘋果：哲人科學家 康托爾。台北：業強出版社。
30. 胡炯濤（民85）：數學教學論。馬忠林 主編 。廣西教育出版社。
31. 孫振青（民71）：知識論。台北：五南圖書出版社。
32. 張春興（民80）：張氏心理學辭典。台北：中華書局。
33. 張景中（民85）：數學與哲學。台北：九章出版社。
34. 郭思樂 喻緯（民86）：數學思維教育過程論。上海教育出版社。
35. 郭夢瑤（民84）：語彙在列代數式問題所扮演的角色。台灣師範大學數學研究所碩士論文。36. 陳慶芳（民88）：國中生初學正負數加減運算的解題情形。台灣師範大學數學研究所碩士論文。37. 華羅庚（民79）：華羅庚科普著作選集。台北：亞東書局。
38. 楊淑芬（民81）：從皮亞傑的認識論談術學史與數學教育的關聯。台灣師範大學數學研究所碩士論文。39. 劉鈍（民80）：大哉言數。國學叢書。遼寧出版社。
40. 蔡仲彬 謝豐瑞（民89）：學生教師的無理數觀。中華民國第十六屆科學教育學術研討會 短篇論文彙編 pp.259-266。
41. 鄭君文、張恩華（民85）：數學學習論。馬忠林 主編。廣西教育出版社。
42. 鄭英豪（民88）：學生教師數學教學概念的學習：『以啟蒙例概念』的數學概念為例。台灣師範大學數學研究所博士論文。43. 羅素（B.Russell）（1912）：哲學問題。（劉福增 譯註，民86）。台北：心理出版社有限公司。
44. 蘇惠娟（民87）：高雄地區國二學生方根概念及運算錯誤類型之分析研究。高雄師範大學數學研究所碩士論文。
二、西文部分
1. Arcavi,A.,Bruckheimer,M.&Ben-zvi.(1987).History of Mathematics for Teachers:the Case of Irrational Numbers. For the learning of mathematics,7,2.pp.18-23.
2. Arthur, F.C.(1995).A case for connections. Connecting mathematics across the curriculum/1995YearBook. edited by Peggy A.H.&Arthur F.C.pp.3-12.
3. Austin, J.L.&Howson, A.G.(1979). Language and Mathematical Education. Educational studies in mathematics, 10,pp.161-197.
4. Berdot, P.,Blanchard-laville C.&Bronner, A.（2001）.Mathematical knowledge and its relation to the knowledge of mathematics teachers:The linked traumas and resonances of identity.For the learning of mathematics,21,1,Canada,pp2-11.
5. Billstein, R.,et al. (1987). Mathematics for elementary school teachers. The Benjamin/Cummings Publishing Company, p.332.
6. Bloom,B.S.Krathwohl,D.R.&Masia,B.B.(1964).Taxonomy of Educational Objectives:The classification of educational goals.Handbook2.Affective Domain.N.Y.:McKay,pp.176-185 .
7. Cajori, F.(1928).A History of Mathematical Notations.Printed by The university of Chicago press,U.S.A.
8. Crowley, M.L.(1987). Van Hiele model of the development of geometric thought.Learning and teaching geometry ,K-12.NCTM.1987year book, USA.pp.1-16.
9. Courant,R.&Robbins,H.(1996).What is mathematic? New York, Oxford university press.
10. Dickson, L.,Brown, M.&Gibson, O.(1984 ).Language-Words and Symbol. Children learning mathematics:Ateacher''s guide to recent research.Printed in Great Britain by Alden Press Ltd,Oxford.
11. DiSessa,A.(1987).Phenomenology and Evoluation of Intuition.Problems of representation in the teaching and learning of mathematics.Edited by Claude Janiver,pp.33-40.
12. Dossey, J.A.,(1992).The nature of mathematics:its role and its influence.In D. A.Grouws(ed.) Handbook of Research on Mathematics Teaching and Learning (N Y:Macmillan),pp.83-96.
13. Dyson, J.(1988) .Infinite In All Direction .Printed in England by Claya Ltd. pp.14-34.
14. Fennema, E.,& Franke, M.,(1992). Teachers'' knowledge and its impact. In D. A.Grouws(ed.) Handbook of Research on Mathematics Teaching and Learning (N Y:Macmillan),pp.147-164.
15. Fischbein, E., Jehiam, R., and Cohen, D.,(1995). The concept of irrational numbers in high-school students and prospective teachers. Educational studies in mathematics 29,pp.29-44.
16. Fischbein,E.,(1987) Paradigmatic Models .Intuition in Science and Mathematics :Aneducational approach. Dordrecht, The Netherlands:Reidel. pp.143-153.
17. Fischbein,E.,(1996) The psychological nature of concepts.Mathematics for tommorrow''syoung children.Edited by Mansfield ed al.Printed in the Netherlands.pp.102-119.
18. Fischbin, E., Tirosh, D., & Melamed, U.,(1981). Is it possible to measure the intuitiive acceptance of a mathematical statement? Educational studies in mathematics 12,pp.491-512.
19. Fischbin, E., Tiroshm, D. & Hess, P.,(1979). The intuition of infinity, Educational studies in mathematics 10,pp.3-40.
20. Gagne,R.M.(1985). The Condition of Learning. 4th ,New York.
21. Goldin,A.(1987).Cognitive Representational Systems for Mathematical problem solving.Problems of representation in the teaching and learning of mathematics.Edited by Claude Janiver,pp.125-145.
22. Hans, R.& Otto, T.（1957）.The Enjoyment of Mathematics. translated by Herbert Zuckerman. Princeton Univ，press.
23. Hart, K.M.(1981). Hierarchies in mathematics education. ESM, V12.2,pp. 205-218.
24. Heath,S.T.(1981).A History of Greek Mathematics. New York:Dover.
25. Herbst,P.(1997).The number-line metaphor in the Discourse of a textbook series.For the learning of mathematics.17(1),pp.17-25.
26. Hershkowitz, R.（etc）（1990）.Psychological aspects of learning geometry. Edited by Pearla Nesher &Jeremy Lilpatrick, Mathematics and Cognition ,N.Y.Cambridge university press.
27. Hershkowitz, R.,Vinner,S.&Bruckheimer,M.（1987）.Activities with teachers based on cognition research.Learning and teaching geometry K1-12, Lindquist&Shulte(Eds),(1987 Year book of NCTM,pp.222-235).
28. Hiebert, J., & Carpenter, T., (1992). Learning and teaching with understanding . In D. A.Grouws(ed.) Handbook of Research on Mathematics Teaching and Learning (New York:Macmillan),pp.65-9.
29. History in Mathematics Education(2000). Kluwer Academic Publishers.
30. Hitchcock, G.(1996).Dramatizing the birth and adventures of mathematical concepts: Two Dialogues. Vita Mathematica. Edited by Calinger R.,Published by The mathematical association of America.
31. Janvier,(1987).Conceptions and representation:The Cirle as an example. Problems of representation in the teaching and learning of mathematics. Edited by Claude Janiver,pp.147-158.
32. Kaput,J.J.(1987) .Representation Systems and Mathematics.Problems of representation in teaching and learning mathematics.Edited by Claude Janvier:Lawrence Erlbaum,Hillsdale,NJ.pp.19-26.
33. Kaput,J.J.(1989).Linking representations in the symbol systems of Algebra. Research issues in the learning and teaching of Algebra. Edited by Wagner S.&Kieran C.,pp.167-194.
34. Laborde,C.(1990).Language and mathematics. Edited by Pearla Nesher &Jeremy Lilpatrick, Mathematics and Cognition. N.Y.Cambridge university press, pp.53-69.
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36. Mason,J.(1987).What do symbols represent? Problems of representation in the teaching and learning of mathematics. Edited by Claude Janiver,pp.73-81.
37. Mcleod, D.B. (1985).Affective issues in research on teaching mathematical problem solving in E.A. Silver(Ed), Teaching and learning mathematical problem solving:Multiple research perspective, Hillsdale, N.J :,Erlbaum. R. Hershkowitz,pp.267-279.
38. Mcleod, D.B. (1989) .Beliefs,Attitudes,and Emotions:Affective factors in mathematics learning. PME-X1,pp.170-180.
39. Mcleod,D.B.(1992).Research on affect in mathematics education:A reconceptualization. A.Grouws(ed.) Handbook of Research on Mathematics Teaching and Learning (New York:Macmillan),pp.575-596.
40. National Council of Teachers of mathematics. (1986).Estimation and mental computation. Yearbook of 1986.printed in USA.
41. National Council of Teachers of mathematics.(1990). Principles and Standards for School Mathematics. printed in USA.
42. National Council of Teachers of mathematics.(2000).Principles and Standards for School Mathematics. printed in USA..
43. Peled, I., & Hershkovitz, S., (1999). Difficulties in knowledge integration: revisiting Zeno''s paradox with irrational numbers. Int.J.mathematic.Educ. Scl.Technol 30,1,pp.39-46.
44. Pines,A.L.(1980). A model for program development and evaluation: The formative role of summative evaluation and research in science education.Paper presented at the annual conference of the international congress for individualized industruction(12th,Windsor,Canada)
45. Principles and Standards for School Mathematics.(2000). Etided by NCTM.
46. Resnick, L.B.&Ford, W.W.(1984). Brunner and the cognitive representation of mathematical concepts.The psychology of mathematics for instruction. Lawrence Erlbaum Associates, Publishers, London, pp.110-116.
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