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

Year 2021, Volume: 8 Issue: 1, 219 - 231, 01.01.2021
https://doi.org/10.17275/per.21.12.8.1

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.

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
Year 2021, Volume: 8 Issue: 1, 219 - 231, 01.01.2021
https://doi.org/10.17275/per.21.12.8.1

Abstract

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
There are 32 citations in total.

Details

Primary Language English
Subjects Studies on Education
Journal Section Research Articles
Authors

Elly Susanti 0000-0001-9528-4947

Publication Date January 1, 2021
Acceptance Date July 2, 2020
Published in Issue Year 2021 Volume: 8 Issue: 1

Cite

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

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