Cultural insights into arithmetic sequences: A study of chinese zodiac and its elements
DOI:
https://doi.org/10.30862/jhm.v7i3.670Keywords:
Arithmetic Sequences, Chinese Calendar, Chinese Zodiac, Element, EthnomathematicsAbstract
Ethnomathematics examines the intersection of mathematics and cultural practices, revealing how mathematical principles are embedded within societal traditions. Despite extensive research in ethnomathematics, limited studies have explored its application in understanding the Chinese zodiac system and its mathematical foundations. This study addresses this gap by investigating the mathematical structures underlying the determination of the Chinese zodiac and its elements, offering a novel perspective on how arithmetic sequences and modular arithmetic are utilized within this cultural tradition. The study aims to formulate these traditional calculations into a mathematical framework, thereby bridging cultural heritage and mathematical learning. Employing a qualitative research design with an ethnographic approach, data collection was conducted through field observations, in-depth interviews, and thematic analysis to ensure validity, reliability, and representativeness. The findings reveal that the determination of the Chinese zodiac and its elements involves fundamental mathematical operations such as multiplication, addition, and modular arithmetic. This study not only demonstrates the inherent mathematical reasoning within cultural traditions but also contributes to the broader discourse on mathematics education by integrating cultural contexts into learning. Finally, the results have significant implications for mathematics education, offering an alternative pedagogical approach that enhances students’ engagement and comprehension by contextualizing mathematical concepts within real-life cultural practices.
References
Ascher, M., & Ascher, R. (1986). Ethnomathematics. History of Science, 24, 125–144. https://doi.org/10.1177/007327538602400202
Bai, H. (2021). Differences between English and Chinese Vocabulary of Marine Animals. International Journal of Frontiers in Sociology, 3(16). https://doi.org/10.25236/ijfs.2021.031618
Barton, B. (1996). Making sense of ethnomathematics: Ethnomathematics is making sense. Educational Studies in Mathematics, 31(1), 201–233. https://doi.org/10.1007/BF00143932
Bawden, D., & Robinson, L. (2016). Information and the gaining of understanding. Journal of Information Science, 42(3), 294–299. https://doi.org/10.1177/0165551515621691
Coman, M. (2016). Conjecture on the Consecutive Concatenation of the Terms of an Arithmetic Progression. ViXra. https://api.semanticscholar.org/CorpusID:123979083
D’ambrosio, U. (1985). Ethnomathematics and its Place in the History and Pedagogy of Mathematics. For the Learning of Mathematics, 5, 44–48. https://api.semanticscholar.org/CorpusID:141770319
Fletcher, R. (2009). The Geometry of the Zodiac. Nexus Network Journal, 11(1), 105–128. https://doi.org/10.1007/s00004-008-0106-x
Granville, A., & Soundararajan, K. (2007). An uncertainty principle for arithmetic sequences. Annals of Mathematics, 165(2), 593–635. https://doi.org/10.4007/annals.2007.165.593
Haobin, W., & Jiguang, X. (2022). Natural Ecological Outlook from the Perspective of the Chinese Zodiac. Academic Journal of Humanities & Social Sciences, 5(10). https://doi.org/10.25236/ajhss.2022.051016
Ho, E. D. F., Tsang, A. K. T., & Ho, D. Y. F. (1991). An investigation of the calendar calculation ability of a Chinese calendar savant. Journal of Autism and Developmental Disorders, 21(3), 315–327. https://doi.org/10.1007/BF02207328
Johansson, B. S. (2005). Number-word sequence skill and arithmetic performance. Scandinavian Journal of Psychology, 46(2), 157–167. https://doi.org/10.1111/j.1467-9450.2005.00445.x
Lamb, J. F. (2020). A Chinese Zodiac Mathematical Structure. The Mathematics Teacher, 93(2), 86–91. https://doi.org/10.5951/mt.93.2.0086
Li, Y. (2019). Revelation of a High-order Arithmetic Sequence with the Same First Term and Common Difference. Proceedings of the 4th International Conference on Big Data and Computing. https://doi.org/10.1145/3335484.3335526
Mahdihassan, S. (1989). The five cosmic elements as depicted in indian and chinese cosmologies. American Journal of Chinese Medicine, 17(3–4), 245–252. https://doi.org/10.1142/s0192415x89000346
Pathuddin, H., Kamariah, & Mariani, A. (2023). Ethnomathematics of Pananrang: A guidance of traditional farming system of the Buginese community. Journal on Mathematics Education, 14(2), 205–224. https://doi.org/10.22342/jme.v14i2.pp205-224
Phillippi, J., & Lauderdale, J. (2018). A Guide to Field Notes for Qualitative Research: Context and Conversation. Qualitative Health Research, 28(3), 381–388. https://doi.org/10.1177/1049732317697102
Prahmana, R. C. I., & D’Ambrosio, U. (2020). Learning geometry and values from patterns: Ethnomathematics on the batik patterns of yogyakarta, indonesia. Journal on Mathematics Education, 11(3), 439–456. https://doi.org/10.22342/jme.11.3.12949.439-456
Rahmani-Andebili, M. (2021). Problems: Arithmetic and Geometric Sequences and Series. Precalculus. Cham: Springer International Publishing. https://doi.org/10.1007/978-3-030-65056-8_13
Rosa, M., Orey, D.C. (2016). State of the Art in Ethnomathematics. In: Current and Future Perspectives of Ethnomathematics as a Program. ICME-13 Topical Surveys. Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-30120-4_3
Salsabilah, A. P., Rahmah, A. A., Wulandari, A., & Soebagyo, J. (2022). A Review of Research: Exploring Ethnomatematics on Indonesian Traditional Games In Mathematics Learning. Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, 6(1), 191. https://doi.org/10.31331/medivesveteran.v6i1.1751
Santosa, T. B. (2018). Shio dan Feng Shui. Yogyakarta: Laksana. https://www.google.co.id/books/edition/Buku_Lengkap_Shio_Feng_Shui/RTQoEAAAQBAJ?hl=id&gbpv=1&dq=Shio+dan+Feng++Shui&printsec=frontcover
Schwarzweller, C. (2008). Modular integer arithmetic. Formalized Mathematics, 16(3), 247–252. https://doi.org/10.2478/v10037-008-0029-8
Spradley, J. P. (2016). The ethnographic interview. Illinous; Waveland Press.
Sun, Z.-W. (2012). Conjectures involving arithmetical sequences. In Number Theory: Arithmetic In Shangri-la-Proceedings Of The 6th China-japan Seminar. https://doi.org/10.1142/9789814452458_0014
Syahrin, M. A., Turmudi, T., & Puspita, E. (2016). Study ethnomathematics of aboge (alif, rebo, wage) calendar as determinant of the great days of Islam and traditional ceremony in Cirebon Kasepuhan Palace. In AIP Conference Proceedings. 1708. https://doi.org/10.1063/1.4941172
Theodora Lau. (2005). The Handbook of Chinese Horoscopes. California: North Atlantic Books.
Thomas, S., & Jacob, G. (2021). Ethnomathematics. International Journal of Advanced Research, 9 (9), 310-312. https://doi.org/10.21474/ijar01/13409
Turner, D. P. (2020). Sampling Methods in Research Design. Headache: The Journal of Head and Face Pain, 60(1). https://doi.org/10.1111/head.13707
Wissler, C. (1927). The Culture-Area Concept in Social Anthropology. American Journal of Sociology, 32(6), 881–891. https://doi.org/10.1086/214278
Xiaochun, S. (2006). Ancient Chinese Calendars in the Mathematical Perspective: An Essay Review of Qu Anjing’s the Chinese Calendar and Mathematics. Studies in the History of Natural Sciences. https://api.semanticscholar.org/CorpusID:123199697
Xue-jing, Z. (2012). Study on Translating Chinese Zodiac. Overseas English. https://api.semanticscholar.org/CorpusID:148255724
Yanw, Z. (2013). A Study of the Chinese Zodiac Culture between Qin and Han Dynasties Based on the Bamboo Slips. Journal of Sichuan Vocational and Technical College. https://api.semanticscholar.org/CorpusID:192274459
Zhu, R. (2020). The Evolutionary Law of Information in the Material World: Five Elements Theory. Georgia: NewsRX LCC. https://doi.org/10.31235/osf.io%2Fdqbfk
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