Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School

Elly Susanti

doi:10.17275/per.21.12.8.1

EN

Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School

Abstract

The aim of this research was to describe the results of the exploration of mathematical concepts in Malang City’s traditional game Tong Tong Galitong Ji or Nasi Goreng Kecap. This research is a qualitative study with an ethnographic approach. Data were collected through field observations, documentation (photographing and video recording), and in-depth interviews. Data analysis to explore the internal structure of mathematical concepts in the five stages of the game Tong Tong Galitong Ji was performed by taxonomic analysis. Exploration of the concept of basic mathematical operations (addition, subtraction, and multiplication) occurs in stages one through five, exploration of the concept of arithmetic modulo 6 and 3 operations in stages two through four, and exploration of the concepts of arithmetic sequence and probability in stage five of the game Tong Tong Galitong Ji. Stage five features basic mathematic operations of addition, subtraction, and multiplication (division excluded), as well as the concept of arithmetic sequence during the determination of punishment quantity. Punishment quantity is determined by operating any one of the numbers 10, 4, and 7 decided on in stage three with a natural number (ji, ro, lu, …, n) in stage five. The concept of probability also appears in stage five during simultaneous finger showing.

Keywords

ethnomathematics, mathematical concept, tong tong galitong ji

Thanks

thank so much to LP2M State Islamic University of Maulana Malik Ibrahim Malang

References

Buchori, A., Sudargo, R. N., & Budiman, M. A. (2016). Digital Media Development of Math Game with Ethnomathematics Model Based on Javanese Local Wisdom in Higher Education. Arts and Social Sciences Journal, 7(210), 2. https://doi.org/10.4172/2151-6200.1000210
Alghadari, F., & Son, A. L. (2018). Teori dan kemampuan matematis dalam permainan kartu gaple: Kajian etnomatematika. WACANA AKADEMIKA: Majalah Ilmiah Kependidikan. https://doi.org/10.30738/wa.v2i1.1984
Brandt, C. F., Bassoi, T. S., & Baccon, A. L. P. (2016). Difficulties of 6th Grade Elementary School Students in Solving the Four Basic Fundamental Operations: Addition, Subtraction, Multiplication and Division of Natural Numbers. Creative Education. https://doi.org/10.4236/ce.2016.713185
Buijsman, S. (2019). Learning the Natural Numbers as a Child. Nous, 53(1), 3–22. https://doi.org/10.1111/nous.12219
Clark, W. E. (2003). Elementary Number Theory. Retrieved from http://joshua.smcvt.edu/numbertheory/book.pdf
Debnath, L., & Basu, K. (2015). A short history of probability theory and its applications. International Journal of Mathematical Education in Science and Technology, 46(1), 13–39. https://doi.org/10.1080/0020739X.2014.936975
Dosinaeng, W. B. N. (2010). Analisis pemikiran matematis dalam permainan tradisional masyarakat lamaholot. Prosiding Seminar Nasional Etnomatnesia. http://jurnal.ustjogja.ac.id/index.php/etnomatnesia/article/view/2370
Febriyanti, C., Kencanawaty, G., & Irawan, A. (2019). Etnomatematika Permainan Kelereng. MaPan, 7(1), 32–40. https://doi.org/10.24252/mapan.2019v7n1a3
Febriyanti, C., Prasetya, R., & Irawan, A. (2018). Engklek dan gasing khas kebudayaan sunda ethnomathematics of traditional games “ engklek and gasing ” of sunda culture.
Barekeng: Jurnal Ilmu Matematika Dan Terapan, 12, 1–6. https://doi.org/10.30598/vol12iss1pp1-6ar358

Fitriatien, S. R. (2017). Pembelajaran Berbasis Etnomatematika. (December 2016). https://www.researchgate.net/publication/317318097_Pembelajaran_Berbasis_Etnomatematika
Fouze, A. Q., & Amit, M. (2018). Development of mathematical thinking through integration of ethnomathematic folklore game in math instruction. Eurasia Journal of Mathematics, Science and Technology Education. https://doi.org/10.12973/ejmste/80626
Johnson, J. (2017). A topic revisited : students in the republic of the Maldives writing contextual word problems. IEJME - Mathematics Education, 12(5), 549–559. https://www.iejme.com/article/a-topic-revisited-students-in-the-republic-of-the-maldives-writing-contextual-word-problems
Khalid, M., & Embong, Z. (2020). Sources and Possible Causes of Errors and Misconceptions in Operations of Integers. 15(2). https://doi.org/https://doi.org/10.29333/iejme/6265
Massarwe, K., Verner, I., & Bshouty, D. (2013). Ethnomathematics and Multi-Cultural Education: Analysis and Construction of Geometric Ornaments Journal of Mathematics and Culture. Journal of Chemical Information and Modeling. https://doi.org/10.1017/CBO9781107415324.004
Moss, D. L., Boyce, S., & Lamberg, T. (2020). Representations and Conceptions of Variables in Students ’ Early Understandings of Functions. 15(2). https://doi.org/10.29333/iejme/6257
Muslimin, M. (2012). Desain Pembelajaran Pengurangan Bilangan Bulat Melalui Permainan Tradisional Congklak Berbasis Pendidikan Matematika Realistik Indonesia di Kelas IV Sekolah Dasar. Kreano: Jurnal Matematika Kreatif-Inovatif. https://doi.org/10.15294/kreano.v3i2.2642
Muzdalipah, I., & Yulianto, E. (2015). Pengembangan Desain Pembelajaran Matematika untuk Siswa SD Berbasis Aktivitas Budaya dan Permainan Tradisional Masyarakat Kampung Naga. Jurnal Siliwangi. http://jurnal.unsil.ac.id/index.php/jspendidikan/article/view/18
Nofrianto, A. (2015). Etnomathematics ( Mathematical Concepts in Minangkabau Traditional Game ). The International Conference on Mathematics, Science, Education and Technology (ICOMSET), (February), 1–4.
Risdiyanti, I., & Prahmana, R. C. I. (2018). Ethnomathematics: Exploration in Javanese culture. Journal of Physics: Conference Series, 943(1). https://doi.org/10.1088/1742-6596/943/1/012032
Rosenberg-Lee, M., Chang, T. T., Young, C. B., Wu, S., & Menon, V. (2011). Functional dissociations between four basic arithmetic operations in the human posterior parietal cortex: A cytoarchitectonic mapping study. Neuropsychologia. https://doi.org/10.1016/j.neuropsychologia.2011.04.035
Safitri, D. (2015). Eksplorasi konsep matematika pada permainan masyarakat melayu sambas. Retrieved from http://jurnal.untan.ac.id/index.php/jpdpb/article/download/10350/10004
Simamora, R. E., Saragih, S., & Hasratuddin, H. (2018). Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education. https://doi.org/10.12973/iejme/3966
Siregar, S. N., Solfitri, T., & Roza, Y. (2018). Pengenalan Konsep Operasi Hitung Bilangan Melalui Permainan Congklak Dalam Pembelajaran Matematika. Al-Khwarizmi: Jurnal Pendidikan Matematika Dan Ilmu Pengetahuan Alam. https://doi.org/10.24256/jpmipa.v2i1.107
Suherman, S. (2018). Ethnomathematics : Eksploration of Traditional Crafts Tapis Lampung as Ilustration of Science, Technology, Engineering, and Mathematics (STEM). Eduma : Mathematics Education Learning and Teaching, 7(2). https://doi.org/10.24235/eduma.v7i2.3085
Tohir, M., Abidin, Z., Dafik, D., & Hobri, H. (2018). Students creative thinking skills in solving two dimensional arithmetic series through research-based learning. Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/1008/1/012072
Utami, N. I., Holisin, I., & Mursyidah, H. (2018). The Development of Engklek Geometri Learning Media to Preserve Traditional Game. Formatif: Jurnal Ilmiah Pendidikan MIPA. https://doi.org/10.30998/formatif.v8i3.2710
Verner, I., Massarwe, K., & Bshouty, D. (2019). Development of competencies for teaching geometry through an ethnomathematical approach. Journal of Mathematical Behavior, (May), 100708. https://doi.org/10.1016/j.jmathb.2019.05.002
Yusuf, M. W., Saidu, I., & Halliru, A. (2010). ETHNOMATHEMATICS ( A Mathematical Game in Hausa Culture). International Journal of Mathematical Science Education. https://www.researchgate.net/publication/265710203_Ethnomathematics_a_mathematical_game_in_Hausa_culture
Zayyadi, M. (2015). Eksplorasi etnomatematika pada batik madura. Sigma, 2(2), 35–40. https://www.researchgate.net/publication/323309222_Eksplorasi_Etnomatematika_pada_Batik_Madura
Zazkis, R., & Liljedahl, P. (2002). Arithmetic sequence as a bridge between conceptual fields. Canadian Journal of Science, Mathematics and Technology Education. https://doi.org/10.1080/14926150209556501
Zhang, W. & Q. Z. (2010). Ethnomathematics and Its Integration within the Mathematics Curriculum. Journal of Mathematics Education, 3(1), 151–157. http://www.educationforatoz.net/images/_12_Weizhong_Zhang_and_Qinqiong_Zhang.pdf

Details

Primary Language

English

Subjects

Studies on Education

Journal Section

Research Article

Authors

Elly Susanti ^*
0000-0001-9528-4947
Indonesia

Publication Date

January 1, 2021

Submission Date

May 30, 2020

Acceptance Date

July 2, 2020

Published in Issue

Year 2021 Volume: 8 Number: 1

DOI

https://doi.org/10.17275/per.21.12.8.1

IZ

https://izlik.org/JA57NU37FU

APA

Susanti, E. (2021). Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School. Participatory Educational Research, 8(1), 219-231. https://doi.org/10.17275/per.21.12.8.1

AMA

1.Susanti E. Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School. PER. 2021;8(1):219-231. doi:10.17275/per.21.12.8.1

Chicago

Susanti, Elly. 2021. “Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School”. Participatory Educational Research 8 (1): 219-31. https://doi.org/10.17275/per.21.12.8.1.

EndNote

Susanti E (January 1, 2021) Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School. Participatory Educational Research 8 1 219–231.

IEEE

[1]E. Susanti, “Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School”, PER, vol. 8, no. 1, pp. 219–231, Jan. 2021, doi: 10.17275/per.21.12.8.1.

ISNAD

Susanti, Elly. “Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School”. Participatory Educational Research 8/1 (January 1, 2021): 219-231. https://doi.org/10.17275/per.21.12.8.1.

JAMA

1.Susanti E. Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School. PER. 2021;8:219–231.

MLA

Susanti, Elly. “Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School”. Participatory Educational Research, vol. 8, no. 1, Jan. 2021, pp. 219-31, doi:10.17275/per.21.12.8.1.

Vancouver

1.Elly Susanti. Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School. PER. 2021 Jan. 1;8(1):219-31. doi:10.17275/per.21.12.8.1