| 期刊論文| 1. | 丘成桐(2013)。一本具國際觀的數學普及雜誌。數理人文，1。 延伸查詢 | | 2. | Liu, Po-hung(20090600)。History as a Platform for Developing College Students' Epistemological Beliefs of Mathematics。International Journal of Science and Mathematics Education，7(3)，473-499。  | | 3. | Thomas, R. S. D.(2002)。Mathematics and narrative。The Mathematical Intelligencer，24(3)，43-46。 | | 4. | 劉柏宏(20160400)。從數學與文化的關係探討數學文化素養之內涵--理論與案例分析。臺灣數學教育期刊，3(1)，55-83。 延伸查詢 | | 5. | Burns, B. D.、Wieth, M.(2004)。The collider principle in causal reasoning: Why the Monty Hall dilemma is so hard。Journal of Experimental Psychology: General，133(3)，434-449。 | | 6. | Granberg, D.(1999)。Cross-cultural comparison of responses to the Monty Hall dilemma。Social Behavior and Personality，27(4)，431-438。 | | 7. | Tubau, E.、Aguilar-Lleyda, D.、Johnson, E. D.(2015)。Reasoning and choice in the Monty Hall Dilemma (MHD): Implications for improving Bayesian reasoning。Frontiers in Psychology，6，(353)1-(353)11。 | | 8. | 黃文璋(20100300)。機率應用不易。數學傳播，34(1)=133，14-28。 延伸查詢 | | 9. | 劉柏宏(2015)。數學知識是真理嗎？。通識在線，58，29-33。 延伸查詢 | | 10. | 劉柏宏(20210400)。論數學文化與數學教育的關係。臺灣數學教育期刊，8(1)，79-88。 延伸查詢 | | 11. | Ainsworth, N.(1970)。An introduction to sequence: Elementary school mathematics and science enrichment。The Arithmetic Teacher，17(2)，143-145。 | | 12. | Davis, P. J.(20120601)。Mathematics as narrative。SIAM News，45(5)。 | | 13. | Elbehary, S. G. A.(2020)。Discussing the conditional probability from a cognitive psychological perspective。American Journal of Educational Research，8(7)，491-501。 | | 14. | Ernest, P.(19961031)。The nature of mathematics and teaching。Philosophy of Mathematics Education Journal，9。 | | 15. | Jensen, H. J.(2002)。Mathematics and painting。Interdisciplinary Science Reviews，27(1)，45-49。 | | 16. | Kaygin, B.、Balçin, B.、Yildiz, C.、Arslan, S.(2011)。The effect of teaching the subject of Fibonacci numbers and golden ratio through the history of mathematics。Procedia: Social and Behavioral Sciences，15，961-965。 | | 17. | Leikin, R.、Winicki-Landman, G.(2001)。Defining as a vehicle for professional development of secondary school mathematics teachers。Mathematics Education Research Journal，3，62-73。 | | 18. | Liu, P.-H.(2014)。When Liu Hui meets Archimedes: Students' epistemological and cultural interpretations of mathematics。Problems, Resources, and Issues in Mathematics Undergraduate Studies，24(8)，710-721。 | | 19. | Marchisotto, E. A.(1993)。Connections in mathematics: An introduction to Fibonacci via Pythagoras。Fibonacci Quarterly，31(1)，21-27。 | | 20. | Tarr, J. E.、Jones, G. A.(1997)。A framework for assessing middle school students' thinking in conditional probability and independence。Mathematics Education Research Journal，9，39-59。 | | 21. | Tomlinson, S.、Quinn, R.(1997)。Understanding conditional probability。Teaching Statistics，19(1)，2-7。 | | 22. | White, L. A.(1947)。The locus of mathematical reality: An anthropological footnote。Philosophy of Science，14(4)，289-303。 | | 23. | Fischbein, E.、Gazit, A.(1984)。Does the teaching of probability improve probabilistic intuitions?。Educational Studies in Mathematics，15(1)，1-24。 | 會議論文| 1. | Wilder, R. L.(1950)。The cultural basis of mathematics。The International Congress of Mathematicians。American Mathematical Society。258-271。 | | 2. | Falk, R.(1986)。Conditional probabilities: Insights and difficulties。The Second International Conference on Teaching Statistics。International Statistical Institute and University of Victoria。292-297。 | | 3. | Liu, P.-H.(2018)。An international comparative study on how mathematical culture is implemented in the textbooks。The Eighth European Summer University on History and Epistemology in Mathematics Education。Oslo Metropolitan University。345-354。 | 圖書| 1. | Ernest, P.(1998)。Social constructivism as a philosophy of mathematics。State University of New York Press。 | | 2. | Hersh, R.(1997)。What is mathematics, really?。Oxford University Press。 | | 3. | Polya, G.(1954)。Mathematics and plausible reasoning。Princeton, NJ：Princeton University Press。 | | 4. | 方延明(2007)。數學文化。北京：清華大學出版社。 延伸查詢 | | 5. | Kline, M.(1953)。Mathematics in Western Culture。New York, NY：Oxford University Press。 | | 6. | 易南軒、王芝平(2007)。多元視角下的數學文化。北京：科學出版社。 延伸查詢 | | 7. | 張維忠(2011)。數學教育中的數學文化。上海：上海教育出版社。 延伸查詢 | | 8. | Lakatos, I.(1976)。Proofs and refutations: The logic of mathematical discovery。Cambridge University Press。 | | 9. | Courant, R.、Robbins, H.(1941)。What is Mathematics? An elementary approach to ideas and methods。Oxford University Press。 | | 10. | Cai, J.(1995)。A cognitive analysis of U.S. and Chinese students' mathematical performance on tasks involving computation, simple problem solving, and complex problem solving。National Council of Teachers of Mathematics。 | | 11. | Glymour, C.(2001)。The mind's arrow: Bayes nets and graphical causal models in psychology。The MIT Press。 | | 12. | Hadamard, J.(1945)。An essay on the psychology of invention in the mathematical field。Princeton University Press。 | | 13. | Keyser, C. J.(1947)。Mathematics as a culture clue。Scripta Mathematica。 | | 14. | Kline, M.(1982)。Mathematics: The loss of certainty。Oxford University Press。 | | 15. | Kroeber, A. L.、Kluckhohn, C.(1952)。Culture: A critical review of concepts and definitions。The Museum。 | | 16. | White, A. M.(1993)。Essays in Humanistic mathematics。Mathematical Association of America。 | | 17. | Wilder, R. L.(1968)。Evolution of mathematical concepts: An elementary study。Wiley。 | | 18. | Wilder, R. L.(1981)。Mathematics as a cultural system。Pergamon Press。 | 圖書論文| 1. | Burton, L.(2009)。The culture of mathematics and the mathematical culture。University science and mathematics education in transition。Springer。 | | 2. | Depaepe, F.、De Corte, E.、Verschaffel, L.(2016)。Mathematical epistemological beliefs。Handbook of epistemic cognition。Routledge。 | | 3. | Marchisotto, E. A.(1993)。Teaching mathematics humanistically: A new look at an old friend。Essays in Humanistic mathematics。Mathematical Association of America。 | |