History of Mathematics Education in China
DOI:
https://doi.org/10.23969/pjme.v10i2.2434Keywords:
Ancient China, Mathematics DevelopmentAncient China, Mathematics DevelopmentAbstract
China has a very long history of contributing to human civilisation, including its contribution to mathematics development. The Chinese had discovered many essential theories and concepts in mathematics long before the more famous Western mathematicians. Many of China's theories and concepts thousands of years ago have become references to many Western mathematicians. This paper traces the development of mathematics in China from all the dynasties in its history, including the development of mathematical theory, mathematical texts, and the famous mathematical figures of his time.Downloads
References
Berggren, J., Borwein, J., & Borwein, P. (2004). Pi: A Source Book. https://doi.org/10.1007/978-1-4757-4217-6
Boyer, C. B., & Merzbach, U. C. (1991). A history of mathematics. Wiley.
Branner, D. P. (2011). The Chinese Roots of Linear Algebra by Roger Hart. Journal of the American Oriental Society, 131, 652–655. https://doi.org/10.2307/41440524
Brucker, J. (1912). Matteo Ricci, in The Catholic Encyclopedia. http://www.newadvent.org/cathen/13034a.htm.
Chinese overview - MacTutor History of Mathematics. (n.d.). Diambil 15 September 2020, dari https://mathshistory.st-andrews.ac.uk/HistTopics/Chinese_overview/
Chung, Y. (2010). Benjamin A. Elman, On Their Own Terms: Science in China, 1550–1900 / A Cultural History of Modern Science in China. East Asian Science, Technology and Society: an International Journal, 4, 359–362. https://doi.org/10.1007/s12280-010-9140-3
Clark, K., Kjeldsen, T. H., Schorcht, S., Tzanakis, C., & Wang, X. (2016). History of mathematics in mathematics education: Recent developments. Proceedings of the 2016 ICME Satellite Meeting, 135–179.
Dauben, J. (2008). Suan Shu Shu A Book on Numbers and Computations: English Translation with Commentary. Archive for History of Exact Sciences, 62, 91–178. https://doi.org/10.1007/s00407-007-0124-1
Dauben, J. W. (2013). 九章箅术 “Jiu zhang suan shu” (Nine Chapters on the Art of Mathematics) - An Appraisal of the Text, its Editions, and Translations. Sudhoffs Archiv, 97(2), 199–235. http://www.jstor.org/stable/43694474
Finashin, S. (2013). History of Math Concepts. http://users.metu.edu.tr/serge/courses/303-2015/Book-essentials-A4.pdf
Jami, C. (2011). The Emperor’s New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722). Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199601400.001.0001
Jami, C., & Qi, H. (2003). The Reconstruction of Imperial Mathematics in China during the Kangxi Reign (1662-1722). Early Science and Medicine, 8(2), 88–110. http://www.jstor.org/stable/4130133
Kangsheng, S. (1988). Historical development of the Chinese remainder theorem. Archive for History of Exact Sciences, 38(4), 285–305. https://doi.org/10.1007/BF00357063
Karp, A., & Schubring, G. (2014). Handbook on the History of Mathematics Education. In Handbook on the History of Mathematics Education. https://doi.org/10.1007/978-1-4614-9155-2
Li, N., Mok, I. A. C., & Cao, Y. (2019). The evolution of mathematical thinking in Chinese mathematics education. Mathematics, 7(3), 1–18. https://doi.org/10.3390/math7030297
Martzloff, J.-C. (1997). A History of Chinese Mathematics. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-33783-6
Martzloff, J.-C. (2006). A History of Chinese Mathematics. Springer-Verlag Berlin Heidelberg.
Mikami, Y. (1913). The Development of Mathematics in China and Japan. Chelsea Publishing Company. https://books.google.co.id/books?id=iA1ZAAAAYAAJ
Mullaney, T. S. (2007). On Their Own Terms: Science in China, 1550-1900 (review). In Eighteenth-Century Studies (Vol. 40, Nomor 3). https://doi.org/10.1353/ecs.2007.0029
Needham, J., & Joseph. (1959). Science and Civilisation in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth. scc3, 3. https://ui.adsabs.harvard.edu/abs/1959scc3.book.....N/abstract
Qiu, J. (2014). Ancient times table hidden in Chinese bamboo strips. Nature. https://doi.org/10.1038/nature.2014.14482
Schwartz, R. (2008). A Classic from China: The Nine Chapters. The Right Angle, 16(October 2008), 8–12.
Straffin, P. (1998). Liu Hui and the First Golden Age of Chinese Mathematics. Mathematics Magazine, 71, 163–181. https://doi.org/10.1080/0025570X.1998.11996627
Swetz, F. J., & Liu, H. (1992). The Sea Island Mathematical Manual: Surveying and Mathematics in Ancient China. Pennsylvania State University Press. https://books.google.co.id/books?id=LWrbAAAAMAAJ
Wang, L, 王鈴 W. L., & Needham, J. (1955). Horner’s Method in Chinese Mathematics: Its Origins in the Root-Extraction Procedures of the Han Dynasty. T’oung Pao, 43(5), 345–401. http://www.jstor.org/stable/4527405
Wang, Lidong, Liu, Q., Du, X., & Liu, J. (2017). Chinese mathematics curriculum reform in the 21st Century: A review. Eurasia Journal of Mathematics, Science and Technology Education, 13(8), 5311–5326. https://doi.org/10.12973/eurasia.2017.01005a
Xie, M. (2009). Mathematics Education Reform in Mainland China in the Past Sixty Years: Reviews and Forecasts. Journal of Mathematics Education, 2(1), 121–130. http://educationforatoz.org/images/_9_Mingchu_Xie_Final.pdf
Yong, L. (1970). The Geometrical Basis of the Ancient Chinese Square-Root Method. Isis, 61. https://doi.org/10.1086/350581
Yong, L. L. (1994). Jiu Zhang Suanshu 九章算衔 (Nine Chapters on the Mathematical Art): An Overview. Archive for History of Exact Sciences, 47(1), 1–51. http://www.jstor.org/stable/41133972
Yuan, Y. (2012). Jiu Zhang Suan Shu and the Gauss Algorithm for Linear Equations. Documenta Mathematica, I(Extra Volume: Optimization Stories), 9–14. http://math.uiuc.edu/documenta/vol-ismp/10_yuan-ya-xiang.pdf
Zhang, L. (2016). A Review of China’s Elementary Mathematics Education. http://www.cimt.org.uk/journal/zhang.pdf