Research Article
Effectiveness of Semiosis for Solving the Quadratic Equation

Ernest Kofi Davis, Clement Ayarebilla Ali , Douglas Darko Agyei

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Davis EK, Ali CA, Agyei DD. Effectiveness of semiosis for solving the quadratic equation. . 2021;6(1):13-21. doi: 10.12973/ejmse.2.1.13
Davis, E. K., Ali, C. A., & Agyei, D. D. (2021). Effectiveness of semiosis for solving the quadratic equation. European Journal of Mathematics and Science Education, 6(1), 13-21. https://doi.org/10.12973/ejmse.2.1.13
Davis Ernest Kofi, Clement Ayarebilla Ali, and Douglas Darko Agyei. "Effectiveness of Semiosis for Solving the Quadratic Equation," European Journal of Mathematics and Science Education 6, no. 1 (2021): 13-21. https://doi.org/10.12973/ejmse.2.1.13
Davis, EK Ali, CA & Agyei, D 2021, 'Effectiveness of semiosis for solving the quadratic equation', European Journal of Mathematics and Science Education, vol. 6, no. 1, pp. 13-21. Davis, Ernest Kofi et al. "Effectiveness of Semiosis for Solving the Quadratic Equation." European Journal of Mathematics and Science Education, vol. 6, no. 1, 2021, pp. 13-21, https://doi.org/10.12973/ejmse.2.1.13.

Abstract

The study examines the effectiveness of employing semiosis in the teaching and learning of the Quadratic Equation. The first goal is to compare results of De Saussure and Peirce models within the semiotic theory. The second goal is to determine the commonest effective semiotic objects student teachers mostly employ to solve for the roots in quadratic equations. This research method was mixed methods concurrent and adopted both quantitative and qualitative approach. The instruments for the study were teacher-made tests and interview guide structured on the likert scale. In the teacher-made tests, two sets of twenty questions were set and distributed to the respondents. The sets of questions were similar and each twenty questions were based on De Saussure and Peirce Semiotic Models. The analyses employed both quantitative and qualitative. In the quantitative analysis, three categorical independent variables were fixed on and Pierre and De Saussaure models, objects of Pierre and De Saussaure models, and diachronicity, trichronicity, categorization and quadratic equations, after satisfying normality and independent assumptions of t-test and ANOVA techniques. The qualitative analysis with ensured anonymity, confidentiality and privacy of respondents and transcribed responses from semi-structured interview guide. The results of the commonest semiotic objects improved significantly classroom interactions with Peirce model than with De Saussure model. They perceived the Peirce model as being broader, comprehensive, universal and ICT-compliant. We therefore recommended further quasi-experimental studies on semiotic objects to improve upon the use of cultural objects.

Keywords: De Saussure Model, effectiveness, Peirce Model, quadratic equation, semiosis.


References

Ali, C. A., & Wilmot, E. M. (2016). Pre-service teachers’ didactic conceptual structures in the absolute and quadratic inequalities. IOSR Journal of Mathematics, 12(4), 62-69.

Bartolini Bussi, M. G., & Mariotti, M. A. (2008). Semiotic mediation in the mathematics classroom Artifacts and signs after a Vygotskian perspective. ZDM: The International Journal on Mathematics Education, 41(4), 427-440

Bartolini Bussi, M. G., & Mariotti, M. A. (2016). Semiotic mediation in the mathematics classroom artefacts and signs after a Vygotskian perspective. ResearchGate. https://www.researchgate.net/publication/260321070

Benning, I., & Agyei, D. D. (2016). Effect of using spreadsheet in teaching quadratic functions on the performance of senior high school students. International Journal of Education, Learning and Development, 4(1), 11-29.

Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education (6th ed). Routledge/ Taylor & Francis Group.

Creswell, J. W. (2014). Research design: Qualitative, quantitative, and mixed methods approach (4th ed). SAGE.

Davis, E. K., & Chaiklin, S. (2015). A radical-local approach to bringing cultural practices into mathematics teaching in Ghanaian primary schools, exemplified in the case of      measurement. African Journal of Educational Studies in Mathematics and Sciences, 11(1), 1-16.

Davis, E. K. (2013). Socio-cultural issues in mathematics pedagogy: A missing variable in Ghanaian basic school mathematics teacher preparation. Journal of Educational Development and Practices, 4(1), 41- 69.

De Waal, C. (2013). Peirce: A guide to the perplexed. Bloomsbury.

Fiedler, K., Kutzner, F., & Krueger, J. I. (2012). The long way from α-error control to validity proper problems with a short-sighted false-positive debate. Perspectives on Psychological Science, 7(6), 661–669. https://doi.org/10.1177/1745691612462587

Lai, M. Y. (2013). Constructing meanings of mathematical registers using metaphorical reasoning and models. Mathematics Teacher Education and Development, 15(1), 29–47.

Lanir, L. (2019, July 3). Charles Sanders Peirce’s semiotics – The triadic model. Medium. https://cutt.ly/Xnu2IrZ

Maracci, M., & Mariotti, M. -A. (2009). The teacher’s use of ICT tools in the classroom after       a semiotic mediation approach. In Viviane Durand-Guerrier, Sophie Soury-Lavergne & Ferdinando Arzarello (eds.), Proceedings of 6th Congress of the European Society for Research in Mathematics Education(pp. 221-230).CESRME.

Mariotti, M. A., & Maracci, M. (2009). Artefact as tool of semiotic mediation, a resource for the teacher. In G. Gueudet, B. Pepin & L. Trouche (Eds.), From text to ‘lived’    resources: mathematics curriculum materials and teacher development (pp. 176-180). Springer.

Presmeg, N., Radford, L., Roth, W. -M., & Kadunz, G. (2016). Semiotics in mathematics education. Springer Open.

Radford, L. (2014). Towards an embodied, cultural, and material conception of mathematics    cognition. ZDM—The International Journal on Mathematics Education, 46(5), 349–361.

Roth, W. -M. (2015). The emergence of signs in hands-on science. In P. Trifonas (Ed.), International handbook of semiotics (pp. 1271–1289). Springer.

Roth, W. -M. (2016, July 24–31). Birth of signs: From triangular semiotics to communicative fields (Paper presentation). International Congress on Mathematical Education, Hamburg, Germany.

Sabra, H., Emprin, F., Connan, P. Y., & Jourdain, C. (2014). Classroom Simulator, a new instrument for teacher training. Challenges and possibilities. ZDM – The International Journal on Mathematics Education, 40(2), 317-327.

Saenz-Ludlow, A., & Kadunz, G. (2016). Semiotics as a tool for learning mathematics: How to describe the construction, visualisation, and communication of mathematics concepts. Sense Publishers.

Thornbury, C. (2011). Finding meaning, cultures across borders: international dialogue between philosophy and psychology. In N. Saito & F. Ono(Eds.), Proceedings of the 4th International Symposium between the Graduate School of Education, Kyoto       University (Japan), and the Institute of Education, University of London (UK) (pp. 49-57). Graduate School of Education, Kyoto University.

Van den Heuvel-Panhuizen, M., Drijvers, P., Doorman, M., & Van Zanten, M. (2016). Reflections from abroad on the Netherlands didactic tradition in mathematics education. Freudenthal Institute, Utrecht University.