Teaching number patterns through Kgati in a rural classroom
Piera Biccard 1 *
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1 Department of Curriculum and Instructional Studies, University of South Africa, South Africa
* Corresponding Author

Abstract

This article explores the pedagogical potential of African indigenous games, focusing on Kgati, a traditional skipping game, for the teaching of number patterns in a Grade 4 rural South African primary school. The article is framed within ongoing conversations about the value of indigenous knowledge systems and the promotion of culturally responsive pedagogies that affirm learners’ identities and local contexts. The theoretical ideas of horizontal and vertical mathematisation provided the basis for the study and are used to analyse the data, with horizontal mathematisation found to be the main feature of the observed Kgati-based lesson. This single case study, drawing on observational and video data collected from a mathematics lesson, investigates the way in which indigenous games can enhance mathematical understanding and learner engagement. A total of 14 teachers were involved in the project, but only one teacher’s lesson is reported on in this article. The findings reveal that learners respond enthusiastically to the incorporation of Kgati, displaying enjoyment and participation. However, the study also highlights a gap in transferring these informal skipping activities to formal written tasks, where some learners continued to struggle with abstract representations and the associated terminology of number patterns. It is recommended that teachers use Kgati and other indigenous games not only to introduce lessons but as a rich source of material for more abstract levels of mathematics, creating stronger links between the game and formal curriculum content.
 

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References

  • Abioye, J. A. I., Oyegoke, D. A., Olatunji, S. O., & Adejare, S. A. (2024). Influence of indigenous games on the mathematics foundation knowledge for young children in Afijio Local Government. World of Science: Journal of Modern Research Technologies, 3(3), 139–149.
  • Balbawang, C., & Felix, F. (2023). Effectiveness of using indigenous games in enhancing mathematics performance. International Journal of Advances in Education, Social Sciences and Innovation, 2(1), 45-51.
  • Bishop, A. J. (1990). Western mathematics: The secret weapon of cultural imperialism. Race & Class, 32(2), 51–65. https://doi.org/10.1177/030639689003200204
  • Bose, K. & Seetso, G. (2016). Science and mathematics teaching through local games in preschools of Botswana. South African Journal of Childhood Education 6(2), a453. https://doi.org/10.4102/sajce.v6i2.453
  • Bukari, H. I. (2026). Ethnomathematics for sustainable and culturally responsive mathematics education in Ghana: An ethnographic exploration. Sustainable Education and Digital Transformation, 1(2), Article e35703. https://doi.org/10.33902/SEDT.202635703
  • Burdack, J., & Schöllhorn, W. I. (2023). Cognitive enhancement through differential rope skipping after math lesson. International Journal of Environmental Research and Public Health, 20(1), 205. https://doi.org/10.3390/ijerph20010205
  • Cohen, L., Manion, L., & Morrison, K. (2018). Research methods in education (8th ed.). Routledge. https://doi.org/10.4324/9781315456539
  • D’Ambrosio, U. (1994). Cultural framing of mathematics teaching and learning. In R. Biehler, R. W. Scholz, R. Strässer, & B. Winkelmann (Eds.), Didactics of mathematics as a scientific discipline (pp. 443–455). Kluwer Academic Publishers.
  • D’Ambrosio, U. (2001). What is ethnomathematics, and how can it help children in schools? Teaching Children Mathematics, 7(6), 308-310. https://doi.org/10.5951/TCM.7.6.0308
  • Department of Basic Education. (2011). Curriculum and Assessment Policy Statement (CAPS): Mathematics, Grades 4-6. https://www.education.gov.za/Portals/0/CD/National%20Curriculum%20Statements%20and%20Vocational/CAPS%20IP%20%20MATHEMATICS%20GR%204-6%20web.pdf
  • Dinan-Thompson, M., Meldrum, K., & Sellwood, J. (2014) ‘It is not just a game’: Connecting with culture through traditional indigenous games. American Journal of Educational Research, 2(11),1015-1022. https://doi.org/10.12691/education-2-11-3
  • Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching, 15(1), 13-33. https://doi.org/10.1080/0260747890150102
  • Freudenthal, H. (1991). Revisiting mathematics education: China Lectures. Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47202-3
  • Franke, M. L., Kazemi, E., & Turrou, A. C. (2018). Choral counting & counting collections: Transforming the PreK-5 math classroom. Taylor & Francis.
  • Gerdes, P. (1995). Women and geometry in Southern Africa: Some suggestions for further research. Ethnomathematics Research Project, Universidade Pedagógica.
  • Gravemeijer, K. (1994). Developing realistic mathematics education. CD β Press, Freudenthal Institute.
  • Gravemeijer, K. (2002). Emergent modeling as the basis for an instructional sequence on data analysis. In B. Phillips (Ed.), Proceedings of the Sixth International Conference on Teaching Statistics: Developing a statistically literate society (pp. 1–6). International Statistical Institute. https://www.fisme.science.uu.nl/publicaties/literatuur/4795.pdf
  • Gravemeijer, K. P. E., Cobb, P., Bowers, J., & Whitenack, J. (2000). Symbolizing, modeling, and instructional design. In P. Cobb, E. Yackel, & K. McClain (Eds.), Symbolizing and communicating in mathematics classrooms: Perspectives on discourse, tools, and instructional design (pp. 225–273). Lawrence Erlbaum Associates.
  • Hadebe-Ndlovu, B. N. (2022). Teachers’ experiences of indigenous games in the early grades. South African Journal of Childhood Education, 12(1), a931. https://doi.org/10.4102/sajce.v12i1.931
  • Kabuye Batiibwe, M.S. (2024). The role of ethnomathematics in mathematics education: A literature review. Asian Journal for Mathematics Education, 3(4), 383-405. https://doi.org/10.1177/27527263241300400
  • Laridon, P., Mosimege, M., & Mogari, D. (2005). Ethnomathematics research in South Africa. In R. Vithal, J. Adler, & C. Keitel (Eds.), Researching mathematics education in South Africa (pp. 133–164). HSRC Press.
  • Malik, S., & Rezat, S. (2022). Linguistic features of word problems that cause difficulties for learners across the curriculum: A literature review. In J. Hodgen, E. Geraniou, G. Bolondi, & F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) (pp. 1571–1578). Free University of Bozen-Bolzano and ERME. https://hal.science/hal-03745979
  • Meeran, S. (2024). Decolonising mathematics education: Teachers’ initial experiences of using ethnomathematical games in the Intermediate Phase. Interdisciplinary Journal of Sociality Studies, 4(s1), 1-14. https://doi.org/10.38140/ijss-2024.vol4.s1.03
  • Meeran, S., & Niranjan, C. (2026). The game of Kgati as an implementation tool in teaching intermediate phase mathematics: a case of two schools in Rural KwaZulu-Natal, South Africa. Education Sciences, 16(2), 294. https://doi.org/10.3390/educsci16020294
  • Moloi, T. (2020). Decolonising the teaching of mathematics in rural learning ecologies by using indigenous games. Alternation, 27(2), 125–150. https://doi.org/10.29086/2519-5476/2020/v27n2a7
  • Moloi, T. J., Mosia, M. S., Matabane, M. E., & Sibaya, K. T. (2021). The use of indigenous games to enhance the learning of word problems in grade 4 mathematics: A case of Kgati. International Journal of Learning, Teaching and Educational Research, 20(1), 240-259. https://doi.org/10.26803/ijlter.20.1.13
  • Mosimege, M. D. (2003). Research methods in indigenous mathematical knowledge: An example of a research model based on indigenous games. Indilinga: African Journal of Indigenous Knowledge Systems, 2(1), 11–24. https://doi.org/10.4314/indilinga.v2i1.46979
  • Mosimege, M. (2020). The use of indigenous games in the teaching and learning of Mathematics. Revemop, 2, e202009. https://doi.org/10.33532/revemop.e202009
  • Nabie, M. J. (2011). Games in the mathematics curriculum: Some conceptions and experiences of teachers in the Upper West Region of Ghana. Mathematics Connection, 10, 11-22.
  • Olawale, B. E. (2025). Decolonising mathematics education: Towards a culturally relevant pedagogy. Interdisciplinary Journal of Education Research, 7(1), a26. https://doi.org/10.38140/ijer-2025.vol7.1.26
  • Orth, Z. (2018, November 9). Indigenous games festival: Preserving traditional African childhood games in South Africa. Africa Matters Initiative. https://www.africamattersinitiative.com/post/2018/11/09/indigenous-games-festival-preserving-traditional-african-childhood-games-in-south-africa
  • Patton, M. Q. (1980). Qualitative evaluation methods. Sage.
  • Peni, N. R. N. (2021). Development of an ethnomathematics curriculum through emergent modelling in an Indonesian primary school [Doctoral dissertation, Hiroshima University]. Hiroshima University Institutional Repository. https://ir.lib.hiroshima-u.ac.jp/00051191
  • Prahmana, R.C.I., & Istiandaru, A. (2021). Learning sets theory using shadow puppet: A study of Javanese ethnomathematics. Mathematics, 9(22), Article 2938. https://doi.org/10.3390/math9222938
  • Rosinansis, R., Herman, T., & Hasanah, A. (2022). Improving mathematical meaningful abilities of native students in the Pelabuhanratu region using an ethnomathematics approach. Qalamuna Jurnal Pendidikan Sosial Dan Agama, 14(1), 405-418. https://doi.org/10.37680/qalamuna.v14i1.4167
  • Sabon, Y. & Telussa, R. (2024). Ethnomathematics-based learning design of mountainous Papua to increase student engagement and create meaningful learning. Jurnal Pendidikan Matematika, 7(1), 66-74. https://doi.org/10.30598/jupitekvol7iss1pp66-74
  • Selepe, M. A., & Mphahlele, R. S. (2025). Ethnomathematics in practice: reimagining play-based pedagogy in teaching mathematics in early childhood education. African Journal of Research in Mathematics, Science and Technology Education, 29(3), 404–416. https://doi.org/10.1080/18117295.2025.2575605
  • Sunzuma, G., & Maharaj, A. (2020). In-service secondary teachers' teaching approaches and views towards integrating ethnomathematics approaches into geometry teaching. Bolema: Boletim de Educação Matemática, 34(66), 22–39. https://doi.org/10.1590/1980-4415v34n66a02
  • Tachie, S. A., & Galawe, B. F. (2021). The value of incorporating indigenous games in the teaching of number sentences and geometric patterns. International Journal for Cross-Disciplinary Subjects in Education, 12(1), 4350-4361. https://doi.org/10.20533/ijcdse.2042.6364.2021.0533
  • Tangkur, M., Nabie, M. J., & Ali, C. A. (2022). Mathematics teachers’ knowledge of indigenous games in teaching mathematics. Al-Jabar: Jurnal Pendidikan Matematika, 13(1), 165-174. https://doi.org/10.24042/ajpm.v13i1.11693
  • Turmuzi, M., Suharta, I. G. P., Astawa, I. W. P., & Suparta, I. N. (2024). Meta-analysis of the effectiveness of ethnomathematics-based learning on student mathematical communication in Indonesia. International Journal of Evaluation and Research in Education, 13(2), 903–913. https://doi.org/10.11591/ijere.v13i2.25475
  • Utama, F., Zaenuri, Z., & Pranoto, Y. (2023). Students numerical literacy ability in problem based learning with ethnomathematics nuances. Prima Jurnal Pendidikan Matematika, 7(2), 98. https://doi.org/10.31000/prima.v7i2.8387
  • van der Walt, M., Potgieter, E., & Jagals, D. (2019). The affordances of indigenous knowledge in mathematics education. In J. de Beer (Ed.), The decolonisation of the curriculum project: The affordances of indigenous knowledge for self-directed learning (pp. 181–222). AOSIS. https://doi.org/10.4102/aosis.2019.BK133.07
  • Vankúš, P. (2008). Games based learning in teaching of mathematics at lower secondary school. Acta Didactica Universitatis Comenianae Mathematics, 8(8), 103-120.

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