Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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Forty-five Years of HPM Activities: A Semi-personal Reflection on What I Saw, What I Heard and What I Learn

  • Received : 2020.08.16
  • Accepted : 2020.09.20
  • Published : 2020.10.31
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Abstract

HPM (History and Pedagogy of Mathematics) activities deal with integrating the history of mathematics with the teaching and learning of mathematics. As a teacher of mathematics the author will share his personal experience in the engagement of HPM activities during the past forty-five years with fellow teachers who are interested in such activities and who may wish to know how another teacher goes about doing it.

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References

  1. Y. C. CHAN, M. K. SIU, Facing the change and meeting the challenge: Mathematics curriculum of the Tongwen Guan in the second half of the nineteenth century, Zentralblatt fur Didaktik der Mathematik-The International Journal of Mathematics Education 44(4) (2012), 461-472. https://doi.org/10.1007/s11858-012-0427-9
  2. Y. C. CHAN, M. K. SIU, Chinese arithmetic in the eyes of a British missionary and calculus in the eyes of a Chinese mathematician: Collaboration between Alexander Wylie (1815-1887) and LI Shan-lan (1811-1882), Proceedings of HPM-2012, Daejeon, HPM-2012 Local Organizing Committee, Daejeon, 2012, 363-364.
  3. Y. C. CHAN, M. K. SIU, On Alexander Wylie's Jottings on the Science of the Chinese Arithmetic, Proceedings of HPM-2012, Daejeon, HPM-2012 Local Organizing Committee, Daejeon, 2012, 229-237.
  4. A. DEMATTE, Primary sources from the history of mathematics for secondary school students, Acta Didactica Universitatis Commenianae, Mathematics 7 (2007), 47-66.
  5. J. FAUVEL, J. VAN MAANEN (Eds.), History in Mathematics Education: The ICMI Study, Kluwer Academic Publishers, Dordrecht, 2000.
  6. I. GRATTAN-GUINESS, History or heritage? An important distinction in mathematics and for mathematics education, American Mathematical Monthly 111 (2004), 1-11. https://doi.org/10.1080/00029890.2004.11920041
  7. Q. HAN, M. K. SIU, On the myth of an ancient Chinese theorem about primality, Taiwanese Journal of Mathematics 12(4) (2008), 941-949. https://doi.org/10.11650/twjm/1500404988
  8. K. W. LIH, M. K. SIU, Transmission of probability theory into China at the end of the nineteeth century, in Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics: A Festschrift in Honor of Joseph W. DANBEN, edited by W. S. HORNG, D. E. ROWE, Birkhaser, 2015, 395-416.
  9. D. PENGELLEY, Teaching with primary historical sources: Should it go mainstream? Can it? in Recent Developments in Introducing a Historical Dimension in Mathematics Education, edited by V. KATZ, C. TZANAKIS, Mathematical Association of America, Washington D. C., 2011, 1-8.
  10. M. K. SIU, Mathematics for math-haters, International Journal of Mathematical Education in Science & Technology 8(1) (1977), 17-21. https://doi.org/10.1080/0020739770080102
  11. M. K. SIU, 數學証明[Mathematical Proofs], Jiangsu Educational Press, Nanjing, 1990; second printing, 1992; reprinted revised edition, Chiu Chang Mathematics Publishing, Taipei, 2007; reprinted revised edition, Dalian University of Technology Press, Dalian, 2008; revised edition with two appendices added, Dalian University of Technology Press, Dalian, 2016.
  12. M. K. SIU, Concept of function - Its history and teaching, in Learn From the Masters!: Proceedings of the Kristiansand Conference on History of Mathematics and Its Place in Teaching, August 1988, edited by F. SWETZ, J. FAUVEL, O. BEKKEN, B. JOHANSSON, V. KATZ, Mathematical Association of America, Washington D. C., 1995, 105-121.
  13. M. K. SIU, Euler and heuristic reasoning, in Learn From the Masters!: Proceedings of the Kristiansand Conference on History of Mathematics and Its Place in Teaching, August 1988, edited by F. Swetz F. Swetz, J. Fauvel, O. Bekken, B. Johansson, V. Katz, Mathematical Association of America, Washington D. C., 1995, 145-160.
  14. M. K. SIU, Mathematical thinking and history of mathematics, in Learn From the Masters!: Proceedings of the Kristiansand Conference on History of Mathematics and Its Place in Teaching, August 1988, edited by F. Swetz, J. Fauvel, O. Bekken, B. Johansson, V. Katz, Mathematical Association of America, Washington D. C., 1995, 279-282.
  15. M. K. SIU, Mathematics education in Ancient China: What lesson do we learn from it ?, Historia Scientiarum 4(3) (1995), 223-232.
  16. M. K. SIU, Integration in finite terms: From Liouville's work to the calculus classroom of today, in Vita Mathematica: Historical Research and Integration with Teaching, edited by R. CALINGER, Mathematical Association of America, Washington D.C., 1996, 321-330.
  17. M. K. SIU, The ABCD of using history of mathematics in the (undergraduate) classroom, Bulletin of the Hong Kong Mathematical Society 1 (1997), 143-154; reprinted in Using History To Teach Mathematics: An International Perspective, edited by V. Katz, Mathematical Association of America, Washington D. C., 2000, 3-9.
  18. M. K. SIU, How did candidates pass the state examination in mathematics in the Tang Dynasty (618-907)? - Myth of the "Confucian-Heritage-Culture" classroom, in Actes de la troisieme d'ete europeenne sur l'histoire et l'epistemologie dans l'education mathematique, July 1999, edited by P. Radelet-de Grave, Universite Catholique de Louvain/Katholieke Universiteit Leuven, Louvain-la-Neuve/Leuven, 2001, 320-334.
  19. M. K. SIU, "No, I don't use history of mathematics in my class. Why?", in Proceedings of HPM2004 & ESU4 (ICME10 Satellite Meeting of the HPM Group & Fourth European Summer University on History and Epistemology in Mathematics Education) at Uppsala, July 2004, edited by F. Furinghetti, S. Kaijser, C. Tzanakis, Uppsala Universitet, Uppsala, 2006, 268-277.
  20. M. K. SIU, Mathematics education in East Asia from antiquity to modern times, in Dig where you Stand: Proceedings of a Conference on On-going Research in the History of Mathematics Education, Gardabaer, June 20-24, 2009, edited by K. BJARNADOTTIR, F. FURINGHETTI, G. SCHUBRING, University of Iceland, Reykjavik, 2009, 197-208.
  21. M. K. SIU, 1607, a year of (some) significance: Translation of the first European text in mathematics - Elements - into Chinese, in History and Epistemology in Mathematics Education: Proceedings of the 6th European Summer University, edited by E. Barbin, M. KRONFELLNER, C. TZANAKIS, Verlag Holzhausen, Vienna, 2011, 573-589.
  22. M. K. SIU, Proof in the Western and Eastern traditions: Implications for mathematics education, in Proof and Proving in Mathematics Education: The 19th ICMI Study, edited by G. HANNA, M. de VILLIERS, Springer-Verlag, New York-Heidelberg, 2012, 431-440.
  23. M. K. SIU, Study group in history of mathematics-Some HPM activities in Hong Kong, Education Sciences Special Issue (2014), 56-68.
  24. M. K. SIU, Zhi yi xing nan (knowing is easy and doing is difficult) or vice versa?-A Chinese mathematician's observation on HPM (History and Pedagogy of Mathematics) activities, in The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India, edited by B. Sriraman, J. F. Cai, K. Lee, L. Fan, Y. Shimuzu, C. Lim, K. Subramanian, Information Age Publishing, Charlotte, 2015, 27-48.
  25. M. K. SIU, Tongwen Suanzhi (同文算指) and transmission of bisuan (筆算written calculation) in China: from an HPM (History and Pedagogy of Mathematics) viewpoint, Journal for History of Mathematics 28(6) (2015), 311-320. https://doi.org/10.14477/jhm.2015.28.6.311
  26. M. K. SIU, A geometric problem on three circles in a triangle (the Malfatti Problem)-A thread through Japanese, European and Chinese mathematics, in History and Epistemology in Mathematics Education, Proceedings of the Seventh European Summer University, edited by E. Barbin, U.T. Jankvist, T.H. Kjeldsen, Aarhus University Danish School of Education, Copenhagen, 2015, 637-649 .
  27. M. K. SIU, The confluence of the Yellow River and the Mediterranean: Synthesis of European mathematics and Chinese mathematics during the seventeenth, eighteenth and nineteenth centuries, in Proceedings of the 2016 ICME Satellite Meeting, edited by L. Radford, F. Furinghetti, T. Hausberger, IREM de Montpellier, Montpellier, 2016, 581-592.
  28. M. K. SIU, Let them speak; hear them speak-old Chinese wisdom on mathematics education, in Dig Where You Stand 5: Proceedings of the Fifth International Conference on the History of Mathematics Education, September 19-22, 2017, at Utrecht University, the Netherlands, edited by K. Bjarnadottir, F. Furinghetti, G. Schubring, Utrecht University, Utrecht, 2019, 355-369.
  29. M. K. SIU, C. TZANAKIS, History of mathematics in classroom teaching-Appetizer? Main course? Or dessert?, Mediterranean Journal for Research in Mathematics Education 3(1-2) (2004), v-x.
  30. M. K. SIU, A. VOLKOV, Official curriculum in traditional Chinese mathematics: How did candidates pass the examinations? Historia Scientiarum 9(1) (1999), 85-99.
  31. D. J. STRUIK, A Concise History of Mathematics, Dover Publication, New York, 1948 ; 4th edition, 1987.
  32. D. WATKINS, J. BIGGS (Eds.), The Chinese Learner: Cultural, Psychological and Contextual Influence, CERC/ACER, Hong Kong/Melbourne, 1996.
  33. D. WATKINS, J. BIGGS (Eds.), Teaching the Chinese Learner: Psychological and Pedagogical Perspectives, CERC/ACER, Hong Kong/Melbourne, 2001.