Practitioners’ use of conceptions of mathematical knowledge to enhance early mathematics: A qualitative research approach

Neliswa Gqoli 1, Chinedu I. O. Okeke 2, Christian S. Ugwuanyi 2 *
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1 Department of Adult, Foundation Phase and Educational Foundations Education, Faculty of Educational Sciences, Walter Sisulu University, Mthatha, SOUTH AFRICA
2 Department of Education Foundations, Faculty of Education, University of the Free State, Bloemfontein, SOUTH AFRICA
* Corresponding Author
EUR J SCI MATH ED, Volume 11, Issue 1, pp. 123-131. https://doi.org/10.30935/scimath/12482
Published Online: 23 September 2022, Published: 01 January 2023
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ABSTRACT

Empirical evidence has shown that children’s mathematics achievement in South African has been on the low trend. However, no study has explored the practitioners’ application of conceptions of mathematical knowledge in enhancing learners’ achievement in mathematics. The study examined how practitioners apply mathematical knowledge to enhance early learning of mathematics. In this study, a qualitative research methodology was employed. The study also looked into how teachers in rural early childhood development (ECD) centers use their ideas of mathematical knowledge to foster young children’s early mathematics learning in these environments. The researchers’ investigation into the mathematical expertise held by practitioners and how they apply it in ECD contexts was made possible by mathematical knowledge for teachers theoretical framework, which served as the study’s foundation. In order to help interpret the facts, the study was also set within an interpretivist paradigm. Five practitioners were chosen using a purposive sampling technique from the five ECD centers used for the study. The data were gathered using semi-structured interview questions and observation schedules. The gathered data were examined using a thematic analysis, which resulted in the formation of themes and sub-themes. The study’s findings showed that because the five ECD centers consistently used conventional methods to teach early mathematics to the children who attended the centers, the practitioners in those centers were deficient in their application of conceptions of mathematical knowledge to enhance early learning of mathematics. The need for equipping practitioners with the knowledge and abilities to teach mathematics (subject and pedagogy) in early childhood is strengthened by this study.

CITATION

Gqoli, N., Okeke, C. I. O., & Ugwuanyi, C. S. (2023). Practitioners’ use of conceptions of mathematical knowledge to enhance early mathematics: A qualitative research approach. European Journal of Science and Mathematics Education, 11(1), 123-131. https://doi.org/10.30935/scimath/12482

REFERENCES

  • Ball, D. L., & Bass, H. (2000). Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics. In J. Boaler (Ed.), Multiple perspectives on mathematics of teaching and learning (pp. 83-104). Ablex Publishing.
  • Baloyi-Mothibeli, S. L., Ugwuanyi, C. S., & Okeke, C. I. O. (2021). Exploring grade R teachers’ mathematics curriculum practices and strategies for improvement: Implications for physics teaching. Cypriot Journal of Educational Science, 16(1), 238-250. https://doi.org/10.18844/cjes.v16i1.5523
  • Baroody, A. J., Eiland, M., & Thompson, B. (2009). Fostering at-risk preschoolers’ number sense. Early Education and Development, 20(1), 80-128. https://doi.org/10.1080/10409280802206619
  • Braun, V. & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2),77-101. https://doi.org/10.1191/1478088706qp063oa
  • Creswell, J. W. (2014). Research design: Qualitative, quantitative and mixed methods approaches. SAGE.
  • Daries, G. E. S. (2017). Funds of knowledge and practice of early-childhood teachers in a disadvantaged context [PhD thesis, University of the Free State].
  • DBE. (2015). The South African national curriculum framework. Department of Basic Education of South Africa. https://www.unicef.org/southafrica/media/911/file/SAF-national-curriculum-framework-0-4-En.pdf
  • Gifford, S. (2016). Mathematical problem solving in the early years: Developing opportunities, strategies and confidence. nrich.maths.org. https://nrich.maths.org/12166
  • Gray, C., Gibbons, R., Larouche, R., Sandseter, E. B. H., Bienenstock, A., Brussoni, M., Chabot, G., Herrington, S., Janssen, I., Pickett, W., Power, M., Stanger, N., Sampson, M., & Tremblay, M. S. (2015). What is the relationship between outdoor time and physical activity, sedentary behaviour, and physical fitness in children? A systematic review. International Journal of Environmental Research and Public Health, 12(6), 6455-6474. https://doi.org/10.3390/ijerph120606455
  • Kotsopoulos, D., & Lee, J. (2014). Little counters® early numeracy program for young children and adults. Wilfrid Laurier University. https://www.wlu.ca/academics/faculties/faculty-of-science/faculty-profiles/joanne-lee/child-language-and-math-lab/little-counters.html
  • Lema, J. E. (2019). Prekindergarten teachers’ beliefs and attitudes toward children’s mathematics and learning trajectories [Doctoral dissertation, Texas Woman’s University].
  • Linder, S. M., Ramey, M. D., & Zambak, S. (2013). Predictors of school readiness in literacy and mathematics: A selective review of the literature. Early Childhood Research & Practice, 15(1), 1-9.
  • McMillan, J. H., & Schumacher, S. (2009). Research in education: Evidence-based inquiry. Pearson.
  • Nahdi, D. S., & Jatisunda, M. G. (2020). Conceptual understanding and procedural knowledge: A case study on learning mathematics of fractional material in elementary school. Journal of Physics: Conference Series, 1477, 042037. https://doi.org/10.1088/1742-6596/1477/4/042037
  • National Council of Teachers of Mathematics. (2013). Mathematics in early learning. https://www.nctm.org/Standards-and-Positions/Position-Statements/Mathematics-in-Early-Childhood-Learning/
  • Nieuwenhuis, J. (2016). Analysing qualitative data. In K. Maree (Ed.), First steps in research. Van Schaik Publishers.
  • Noviyanti, M., & Suryadi, D. (2019). Conceptualizing mathematical knowledge for teaching of Indonesian teacher in teaching number sense to early childhood. Journal of Physics: Conference Series, 1157, 032121. https://doi.org/10.1088/1742-6596/1157/3/032121
  • Piaget, J. (1986). Essay on necessity. Human Development, 29(6), 301-314. https://doi.org/10.1159/000273106
  • Selmi, A. M., Gallagher, R. J., & Mora-Flores, E. R. (2015). Early childhood curriculum for all learners: Integrating play and literacy activities. SAGE. https://doi.org/10.4135/9781483381640
  • Sotuku, N., Okeke, C. I. O., & Mathwasa, J. (2016). Early childhood provisioning for children between 3 and 5 years within rural Eastern Cape communities: The untold stories of the physical environment. Journal of Human Ecology, 54(1), 25-34. https://doi.org/10.1080/09709274.2016.11906983
  • Spaull, N., & Kotze, J. (2015). Starting behind and staying behind in South Africa. The case of insurmountable learning deficits in mathematics. International Journal of Educational Development, 41, 13-24. https://doi.org/10.1016/j.ijedudev.2015.01.002
  • Strauss, V. (2015). A child development on how ‘twisted’ early education has become. Independent. https://www.independent.co.uk/news/education/a-childhood-development-expert-on-how-twisted-early-education-has-become-a6750271.html
  • Tadesse, S. (2016). Quality early childhood environment for young children: Training for early childhood caregivers and teachers. Catholic Relief Services. https://www.crs.org/sites/default/files/crs-files/module-four-resource-guide.pdf
  • Umugiraneza, O., Bansilal, S., & North, D. (2017). Exploring teachers’ practices in teaching mathematics and statistics in KwaZulu-Natal schools. South African Journal of Education, 37(2), 1-13. https://doi.org/10.15700/saje.v37n2a1306
  • Umugiraneza, O., Bansilal, S., & North, D. (2018). Exploring teachers’ descriptions of ‘ways of working with the curriculum’ in teaching mathematics and statistics. African Journal of Research in Mathematics, Science and Technology Education, 22(1), 70-80. https://doi.org/10.1080/18117295.2018.1445496