Investigating the impact of argumentation on high school students’ achievement in probability


DOI:
https://doi.org/10.71350/3062192515Keywords:
argumentation, instructional approach, probability, advanced level, critical thinkingAbstract
This study aimed to investigate the impact of an argumentation instructional approach on high school students' understanding and performance in probability in Zimbabwe. A sample of 120 students was randomly assigned to experimental and control groups, with the experimental group receiving argumentation-based instruction while the control group followed traditional teaching methods. Both groups completed standardized pre-tests and post-tests, with results analysed using t-tests and ANCOVA. Findings indicated a significant improvement in the experimental group's performance. The study concluded that the argumentation approach positively influenced students' understanding and achievement in probability. However, limitations included the study's focus on a single school and a short intervention duration, suggesting future research should encompass multiple schools and longitudinal designs. The findings have implications for mathematics education policy and curriculum development in Zimbabwe and similar contexts.
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Batanero, C., & Álvarez-Arroyo, J. (2023). Teaching probability: A review of research and implications for practice. Educational Studies in Mathematics, 112(1), 1-20.
Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on teaching and learning probability. Springer. DOI: https://doi.org/10.1007/978-3-319-31625-3
Batanero, C., & Sanchez, E. (2005). What is the nature of high school students’ conceptions and misconceptions about probability? In G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 241-266). Springer. DOI: https://doi.org/10.1007/0-387-24530-8_11
Brown, T. (2017). The role of argumentation in mathematics education: A review of the literature. Educational Studies in Mathematics, 94(2), 123-140.
Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Lawrence Erlbaum Associates.
Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). Sage Publications.
Dede, Y. (2018). Argumentation in mathematics education: A review of the literature. Educational Studies in Mathematics, 98(3), 1-21.
Erduran, S., & Jimenez-Aleixandre, J. (2012). Argumentation in science education research: Perspectives from Europe. DOI: https://doi.org/10.1007/978-94-6091-900-8_11
Erduran, S., Simon, S., & Osborne, J. (2015). TAPping into argumentation: Developing a framework for teaching and assessing argumentation in science education. Journal of Research in Science Teaching, 52(3), 348-372.
Field, A. (2013). Discovering statistics using IBM SPSS statistics. Sage.
Garfield, J., & Ahlgren, A. (1988). Difficulties in learning basic concepts in probability and statistics: Implications for teaching. Journal of Statistics Education, 16(1), 1-12. DOI: https://doi.org/10.2307/749110
Garfield, J., & Ben-Zvi, D. (2014). Developing students’ statistical reasoning: Connecting research and teaching practice. Springer.
Gold, B. (1999). Social constructivism as a philosophy of mathematics. The American Mathematical Monthly, 106(4), 373–380. DOI: https://doi.org/10.1080/00029890.1999.12005058
Inglis, M., Mejia-Ramos, J. P., & Simpson, A. (2007). Modelling mathematical argumentation: The importance of qualification. Educational Studies in Mathematics, 66(1), 3-21. DOI: https://doi.org/10.1007/s10649-006-9059-8
Iqbal, M., & Akbar, R. (2021). The impact of argumentation on students’ learning outcomes in mathematics. Journal of Educational Research and Practice, 11(1), 45-59.
Koçoğlu, A., & Kanadlı, S. (2024). Effect of argumentation-based instruction on student achievement: A mixed-research synthesis. Asia Pacific Education Review. DOI: https://doi.org/10.1007/s12564-024-09945-6
Krummheuer, G. (2007). Argumentation and participation in the primary mathematics classroom: Two episodes and related theoretical abductions. The Journal of Mathematical Behavior, 26(1), 60-82. DOI: https://doi.org/10.1016/j.jmathb.2007.02.001
Kuhn, D. (2010). Teaching and learning argumentation. Educational Psychologist, 45(3), 203-218. DOI: https://doi.org/10.1080/00461520.2010.515935
Mercier, H., & Sperber, D. (2017). The enigma of reason. Harvard University Press. DOI: https://doi.org/10.4159/9780674977860
Mereku, D. K., & Mereku, K. (2015). The role of argumentation in mathematics education: A case study of Ghana. International Journal of Research in Education and Science, 1(1), 1-10. DOI: https://doi.org/10.1080/14926156.2014.992555
Mohammed, A. (2020). Argumentation in mathematics education: A systematic review. International Journal of Mathematics Education in Science and Technology, 51(6), 1-20.
Nsengimana, T., Mugabo, L., Ozawa, H., & Nkundabakura, P. (2021). Science competence-based curriculum implementation in Rwanda: A multiple case study of the relationship between a school’s profile of implementation and its capacity to innovate. African Journal of Research in Mathematics, Science and Technology Education, 25(4), 1-14. DOI: https://doi.org/10.1080/18117295.2021.1888020
Ogunniyi, M. B., & Hewson, P. W. (2008). Effect of an argumentation-based course on teachers’ disposition towards a science-indigenous knowledge curriculum. International Journal of Environmental and Science Education, 3(4), 159-177.
Olbrechts-Tyteca, L. (1969). The new rhetoric: A treatise on argumentation. University of Notre Dame Press.
Ong-Dean, C., Hofstetter, C., & Strick, B. (2010). Challenges and dilemmas in implementing random assignment in educational research. American Journal of Evaluation, 32(1), 29-49. DOI: https://doi.org/10.1177/1098214010376532
Osborne, J. (2010). Arguing to learn in science: The role of collaborative, critical discourse. Science, 328(5977), 463-466. DOI: https://doi.org/10.1126/science.1183944
Pallant, J. (2013). SPSS survival manual: A step by step guide to data analysis using SPSS program (6th ed.). McGraw-Hill Education.
Serin, H. (2023). Teaching mathematics: Strategies for improved. International Journal of Social Sciences and Educational Studies Mathematical, 10(3), 146. DOI: https://doi.org/10.23918/ijsses.v10i3p146
Shadish, W., Galindo, R., Wong, V., Steiner, P., & Cook, T. (2011). A randomized experiment comparing random and cutoff-based assignment. Psychological Methods, 16(2), 179-191. DOI: https://doi.org/10.1037/a0023345
Stylianides, A. J., & Stylianides, G. J. (2017). Research-based interventions in the area of proof: The past, the present, and the future. Educational Studies in Mathematics, 94(1), 1-18. DOI: https://doi.org/10.1007/s10649-006-9038-0
Stylianides, A. J., Bieda, K. N., & Morselli, F. (2016). Proof and argumentation in mathematics education research. DOI: https://doi.org/10.1007/978-94-6300-561-6_9
Toulmin, S. E. (1958). The uses of argument. Cambridge University Press.
Troyer, M. (2022). The gold standard for whom? Schools’ experiences participating in a randomised controlled trial. Journal of Research in Reading, 45(3), 406-424. DOI: https://doi.org/10.1111/1467-9817.12395
Van Eemeren, F. H., & Grootendorst, R. (2004). A systematic theory of argumentation: The pragma-dialectical approach. Cambridge University Press. DOI: https://doi.org/10.1017/CBO9780511616389
von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. Falmer Press.
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
Walidah, S. (2021). The effectiveness of argumentation-based learning in mathematics education. Journal of Mathematics Education, 14(2), 123-135.
Yackel, E., & Cobb, P. (1996). Socio-mathematical norms, argumentation, and the development of students’ mathematical understanding. Journal for Research in Mathematics Education, 27(4), 458-477. DOI: https://doi.org/10.5951/jresematheduc.27.4.0458
Zarefsky, D. (2014). Rhetorical perspectives on argumentation: Selected essays. Springer. DOI: https://doi.org/10.1007/978-3-319-05485-8
Zorba, M. G. (2023). Undergraduate students’ writer’s block in English as an academic language: Causes, coping strategies, needs. Journal of Bayburt Education Faculty, 18(39), 1024-1046. DOI: https://doi.org/10.35675/befdergi.1262440
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