An Exploration of the Use of Indigenous Material in Learning Geometric Concepts: The Case of Eastern Cape Primary Schools

Authors

DOI:

https://doi.org/10.25159/2312-3540/17407

Keywords:

Indigenous material, geometry, peer learning, mathematics

Abstract

The knowledge of basic concepts in geometry is crucial for the visualisation and comprehension of properties of geometrical figures. This article reports on how foundation phase learners in disadvantaged communities improved their understanding of geometric concepts using indigenous materials. The study aimed to address the gap incurred in mathematics learning because of the absence of grade 1 and 2 teachers in a primary school in the Eastern Cape province of South Africa. The study posed the question: How can the use of indigenous material enhance the learning of geometric concepts by foundation phase learners? Twenty-one learners in grades 1–5 participated in the study. In the first activity learners were asked to bring items from home of different flat shapes. The proposed theme was “Bring it, name it, and tell us about its use and properties.” The next activity was to sort the objects and 2-D specimens according to their shapes. The results indicated the significance of practical support from the learners who were taught in neighbouring schools in the group, which enhanced their knowledge of constructions and understanding of geometric concepts. The results indicated that in cooperative social environments, the use of indigenous materials assisted the learners to observe, imitate each other, develop higher mental skills, develop types of thinking, and develop their understanding, description, and representation of objects found in their proximity. This study contributes to existing literature and highlights how indigenous knowledge can sustain geometry understanding.

Author Biography

Zingiswa Jojo, Rhodes University

Zingiswa Jojo is a C2 rated full professor in Mathematics Education, in the department of Secondary and post school education at Rhodes University. She serves in the Commission for African Women in Mathematics (CAWM) committee (South African Chapter) and leads the newly created organisation on the role of mathematics education in women empowerment (RMEWE). Her primary research interests include the teaching and learning of geometric concepts, Conceptual understanding of Calculus Concepts, Instructional design in mathematics teaching, Ethnomathematics and indigenous knowledge, Mathematics in-service teacher and pre-service professional development and Material Development for Mathematics Education including use of Open Education Resources that are relevant to the teaching of mathematics at school and tertiary levels. She supervised to completion fifteen master's and seven PhD students to completion. She has led several projects like the Bizana Teachers’ Journey with FET Mathematics, (b) Meaningful teaching and learning of mathematical concepts: Focus on the grade 8 geometry in the Mt Ayliff District and developed OER’s to enhance enquiry in mathematics teaching and learning.

References

Brodie, K. 2022. “Learning Mathematics in an After-School Mathematics Club.” African Journal of Research in Mathematics, Science and Technology Education 26 (3): 237–247. https://doi.org/10.1080/18117295.2022.2131267 DOI: https://doi.org/10.1080/18117295.2022.2131267

Cekiso, M. P. 2024. “Students’ Reading Self-Concepts at an Institution of Higher Learning in South Africa.” Reading and Writing 15 (1): 1–10. https://doi.org/10.4102/rw.v15i1.509 DOI: https://doi.org/10.4102/rw.v15i1.509

Cheng, D., and M. Walters. 2009. “Peer-Assisted Learning in Mathematics: An Observational Study of Learner Success.” Australasian Journal of Peer Learning 2 (1): 23–39.

Cimen, O. A. 2014. “Discussing Ethnomathematics: Is Mathematics Culturally Dependent?” Procedia-Social and Behavioral Sciences 152: 523–528. https://doi.org/10.1016/j.sbspro.2014.09.215 DOI: https://doi.org/10.1016/j.sbspro.2014.09.215

Clements, D. H., and J. Sarama. 2014. “Early Childhood Teacher Education: The Case of Geometry.” Journal of Mathematics Teacher Education 14: 133–148. https://doi.org/10.1007/s10857-011-9173-0 DOI: https://doi.org/10.1007/s10857-011-9173-0

Coetzer, T., C. Livingston, and E. Barnard. 2023. “Using Visual Representations to Enhance isiXhosa Home Language Learners’ Mathematical Understanding.” South African Journal of Childhood Education 13 (1): 1–8. https://doi.org/10.4102/sajce.v13i1.1297 DOI: https://doi.org/10.4102/sajce.v13i1.1297

Department of Basic Education. 2012. Integrated Strategic Planning Framework for Teacher Education and Development in South Africa. Department of Basic Education.

Esuong, Uwase Uwase, Ofonime Friday Udo, and Item Asuquo Effiong. 2024. “The Use of Mother Tongue in Communicating Mathematics: Implication for Teaching and Learning of Mathematics.” British Journal of Education 12 (2): 45–51. https://doi.org/10.37745/bje.2013/vol12n24551 DOI: https://doi.org/10.37745/bje.2013/vol12n24551

Famewo, B. G., P. O. Abiodun, G. B. Oguntimein, and O. A. Owolabi. 2024. “Impact of an Experimental Centric Learning on Peer Learning and Collaboration among Environmental Engineering Undergraduates in a Historical Black College and University.” Paper presented at the 2024 ASEE Annual Conference and Exposition.

Freudenthal, H. 1973. Mathematics as an Educational Task. Reidel. https://doi.org/10.1007/978-94-010-2903-2_2 DOI: https://doi.org/10.1007/978-94-010-2903-2_2

Gholam, A. P. 2019. “Inquiry-Based Learning: Student Teachers’ Challenges and Perceptions.” Journal of Inquiry and Action in Education 10 (2): 112–133.

Gillies, R., B. Millis, and N. Davidson. 2023. Contemporary Global Perspectives on Cooperative Learning. Routledge. https://doi.org/10.4324/9781003268192 DOI: https://doi.org/10.4324/9781003268192

Gordon, I. S and Sorkin, S. 1959. The Armchair Science Reader. Simon and Schuster.

Graven, M. 2012. Numeracy Chairs Programme: Final Report: School Functionality (Submitted to Tshikululu Social Investments). Khulisa Management Services.

Gula, Z., and Z. Jojo. 2024. “Harnessing Indigenous Knowledge for Teaching of Mathematics for Sustainable Development in Rural Situated Primary Schools.” African Journal of Research in Mathematics, Science and Technology Education 28 (3): 404–421. https://doi.org/10.1080/18117295.2024.2424696 DOI: https://doi.org/10.1080/18117295.2024.2424696

Haviger, J., and I. Vojkůvková. 2015. “The Van Hiele Levels at Czech Secondary Schools.” Procedia-Social and Behavioral Sciences 171: 912–918. https://doi.org/10.1016/j.sbspro.2015.01.209 DOI: https://doi.org/10.1016/j.sbspro.2015.01.209

Helmenstine, A. M. 2019. “Why Mathematics is a Language.” Thought Co., last updated 27 June 2019. https://www.Thoughtco.com/whymathematics-is-a-language-4158142.

Henschen, E. 2020. In Bauspielen Mathematik entdecken. Aktivitäten von Kindern mathematikdidaktisch analysieren und verstehen [Discover mathematics in construction games. Analyzing and understanding the activities of children in mathematics education]. Springer VS. https://doi.org/10.1007/978-3-658-31741-6 DOI: https://doi.org/10.1007/978-3-658-31741-6

Henschen, E., M. Teschner, and A. M. Vogler. 2022. “Peer Interactions and Their Role in Early Mathematical Learning in Kindergarten Discourses.” International Electronic Journal of Mathematics Education 17 (4): article em0709. https://doi.org/10.29333/iejme/12362 DOI: https://doi.org/10.29333/iejme/12362

Iñigo, M., and A. Loquias. 2023. “Code-Switching and Mother-Tongue-Based Instruction in Grade One Mathematics: A Comparative Analysis.” Psychology and Education: A Multidisciplinary Journal 15: 366–374.

Kudumo, P., and K. M. Ngcoza. 2023. “Prospects of Using Indigenous Knowledge as a Culturally Responsive Pedagogy to Teach Science Concepts Regarding Iron Smelting.” Indilinga African Journal of Indigenous Knowledge Systems 22 (2): 204–221.

Lampen, C. E., and K. Brodie. 2020. “Becoming Mathematical: Designing a Curriculum for a Mathematics Club.” Pythagoras 41 (1): a572. https://doi.org/10.4102/pythagoras.v41i1.572 DOI: https://doi.org/10.4102/pythagoras.v41i1.572

Leonard, J. 2018. Culturally Specific Pedagogy in the Mathematics Classroom: Strategies for Teachers and Learners. Routledge. https://doi.org/10.4324/9781351255837 DOI: https://doi.org/10.4324/9781351255837

Letseka, T., L. Wiebesiek-Pienaar, and T. Meyiwa. 2013. “The Development of Context-Relevant Teaching Tools Using Local and Indigenous Knowledge: Reflections of a Sociologist, a Sociolinguist and a Feminist Scholar.” Paper presented at the 5th World Conference on Educational Sciences, Rome, 5th–8th February.

Ling, L., and F. Marton. 2012. “Towards a Science of the Art of Teaching: Using Variation Theory as a Guiding Principle of Pedagogical Design.” International Journal for Lesson and Learning Studies 1: 7–22. https://doi.org/10.1108/20468251211179678 DOI: https://doi.org/10.1108/20468251211179678

Malindi, Z., C. Ndebele, and B. Z. Gobingca. 2023. “Examining Teachers’ Views on the Adoption of Mother Tongue-Based Bilingual Education in Mathematics Teaching and Learning: A South African Context.” South African Journal of Education 43 (si2): S1–S12. https://doi.org/10.15700/saje.v43ns2a2242 DOI: https://doi.org/10.15700/saje.v43ns2a2242

Munna, A. S., and M. A. Kalam. 2021. “Impact of Active Learning Strategy on the Student Engagement.” GNOSI: An Interdisciplinary Journal of Human Theory and Praxis 4 (2): 96–114.

Ndeleni, Z. 2018. “Teaching Electrostatics in Grade 11 Physical Sciences using a Conceptual Change Approach.” MA diss., University of the Western Cape. https://uwcscholar.uwc.ac.za/items/4a364d3d-5665-4922-8265-9a7f27dfa377

Nickerson, R. S. 2013. “Technology in Education in 2020: Thinking About the Not-Distant Future 1.” In Technology in Education, edited by Raymond S. Nickerson, and Philip P. Zodhiates. Routledge. https://doi.org/10.4324/9780203052235 DOI: https://doi.org/10.4324/9780203052235

Piaget, J. 1976. “Piaget’s Theory.” In Piaget and His School, edited by B. Inhelder, H. H. Chipman, and C. Zwingmann. Springer. https://doi.org/10.1007/978-3-642-46323-5_2 DOI: https://doi.org/10.1007/978-3-642-46323-5_2

Shuukwanyama, T. T., C. Long, and J. S. Maseko. 2023. “Novice Teachers’ Use of the Mother Tongue in Mathematics Junior Primary Multilingual Classrooms in Northern Namibia.” In Multilingualism in Mathematics Education in Africa, edited by Anthony A. Essien. Bloomsbury. https://doi.org/10.5040/9781350369238.ch-004 DOI: https://doi.org/10.5040/9781350369238.ch-004

Sugiarto, I., S. T. Junaedi, and B. Waluya. 2012. “Pembelajaran Geometri Berbasis Enaktif, Ikonik, Simbolik Untuk Menumbuhkan Kemampuan Berpikir Kreatifpeserta Didik Sekolah Dasar.” Journal of Primary Education 1 (1): 23–29.

Van Hiele, P. M. 1984. “English Summary.” [The problem of insight in connection with school children’s insight into the subject matter of geometry.] In English Translations of Selected Writings of Dina van Hiele-Geldorf and Pierre M. van Hiele (237-241). ERIC Information Analysis Center for Science, Mathematics, and Environmental Education (ERIC Document Reproduction Service No. ED 287 697).

Van Hiele, P. M. 1986. Structure and Insight: A Theory of Mathematics Education. Academic Press.

Vygotsky, Lev Semenovich, and Michael Cole. 1978. Mind in Society: Development of Higher Psychological Processes. Harvard University Press.

Wang, H., Y. Chen, X. Yang, et al. 2023. “Different Associations of Parental Involvement with Children’s Learning of Chinese, English, and Math: A Three-Wave Longitudinal Study.” European Journal of Psychology of Education 38 (1): 269–285. https://doi.org/10.1007/s10212-022-00605-0 DOI: https://doi.org/10.1007/s10212-022-00605-0

Yilmaz, D. 2022. “Art-Related Mathematics: Applications of 4th Grade Students.” Cukurova University Faculty of Education Journal 51 (1).

Downloads

Published

2025-06-06

How to Cite

Jojo, Zingiswa. 2025. “An Exploration of the Use of Indigenous Material in Learning Geometric Concepts: The Case of Eastern Cape Primary Schools”. International Journal of Educational Development in Africa 10 (Supplementary Issue):13 pages . https://doi.org/10.25159/2312-3540/17407.