Developing the Competency of Mathematical Modelling: A Case Study of Teaching the Cosine and Sine Theorems

Duong Huu Tong, Nguyen Phu Loc, Bui Phuong Uyen, Le Thi Giang

Abstract


An important goal of teaching mathematics is to form and develop students’ abilities to apply mathematical knowledge to solve problems arising from real life. This goal is also associated with the evaluation of specific mathematical competencies: mathematical thinking and reasoning, inference and proof, communication, modelling, problem solving and representation, using mathematical symbols and languages, using calculation tools. Among these competencies, modelling is the capacity mentioned by educators around the world and holds an increasingly important position in many popular mathematics programs of several countries. The objective of this study is to foster students’ mathematical modelling competency through teaching sine and cosine theorems. The sample included 46 10th grade students at Phan Thanh Giang high school, Ben Tre province, Vietnam, and they were asked to solve numerous real-world problems associated with the theorems. The qualitative analysis method was used to evaluate students' performance in mathematical modelling competence. The results were found that most of the students made progress in mathematical modelling competency, from which they not only had the right motivation to learn but also supported them in realising the application of mathematics in practice.

https://doi.org/10.26803/ijlter.18.11.2


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Alhammouri, A., Durkee, J., & Foley, G. D. (2019). Where to place a post? Engaging students in mathematical modelling process. Ohio Journal of School Mathematics, 75, 41-48.

Asempapa, R. S. (2018). Mathematical modelling: an important concept in mathematics education. Journal of Education and Practice, 9(24), 136-143.

Asempapa, R. S. (2015). Mathematical modelling: essential for elementary and middle school students. Journal of Mathematics Education, 8(1), 18-29.

Bahmaei, F. (2011). Mathematical modelling in primary schools, advantages, and challenges. Journal of Mathematical Modelling and Application, 1(9), 3-13. doi:10.1.1.850.3848

Baquero, B., Bosch, M. & Gascón, J. (2009). The ecology of mathematical modelling: constraints to its teaching at university level. Proceedings of CERME 6, January 28th-February 1st 2009, Lyon France © INRP 2010, 2146-2155.

Blum, W. & Ferri, R. B. (2009). Mathematical modelling: can it be taught and learnt?. Journal of Mathematical Modelling and Application, 1(1), 45-58.

Blum, W. & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects – state, trends, and issues in mathematics instruction. Educational Studies in Mathematics, 22(1), 37-68. doi:10.1007/bf00302716

Boaler, J. (2001). Mathematical modelling and new theories of learning. Teaching Mathematics and its Applications, 20(3), 121-218. doi:10.1093/teamat/20.3.121

Carrejo, D. J., & Marshall, J. (2007). What is mathematical modelling? Exploring prospective teachers’ use of experiments to connect mathematics to the study of motion. Mathematics Education Research Journal, 19(1), 45-76. doi:10.1007/bf03217449.

Dundar, S., Gokkurt, B., & Soylu, J. (2012). Mathematical modelling at a glance: a theoretical study. Procedia- Social and Behavioral Sciences, 46, 3465-3470.

Edo, S. I., Hartono, Y., & Putri, R. I. I. (2013). Investigating secondary school students’ difficulties in modelling problems, PISA-model levels 5 and 6. IndoMS. J.M.E, 4(1), 41-58. doi:10.1016/j.sbspro.2012.06.086

English, L. D., & Watters, J. J. (2004). Mathematical modelling with young children. Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education, 2, 335-342.

Fasni, N., Turmudi, T., & Kusnandi, K. (2017). Mathematical problem-solving ability of junior high school students through Ang’s framework for mathematical modelling instruction. Journal of Physics: Conf. Series, 895, 1-5. doi:10.1088/1742-6596/895/1/012082

Hernández, M. L., Lavy, R., Felton-Koestler, M. D., & Zbiek, R. M. (2017). Mathematical modelling in the high school curriculum. Mathematics Teacher, 110(5), 336-342. doi:10.5951/mathteacher.110.5.0336

Jung, H. (2015). Strategies to Support Students' Mathematical Modelling. Mathematics Teaching in the Middle School, 21(1), 42-48. doi:10.5951/mathteacmiddscho.21.1.0042

Kanthawat, C., Supap, W., & Klin-eam, C. (2019). The development of grade 11 students’ mathematical literacy on sequences and series using mathematical modelling. Journal of Physics: Conf. Series, 1157, 1-6. doi:10.1088/1742-6596/1157/3/032100

Khusna, H., & Heryaningsih, N. Y. (2018). The influence of mathematics learning using SAVI approach on junior high school students’ mathematical modelling ability. Journal of Physics: Conf. Series, 948, 1-4. doi:10.1088/1742-6596/948/1/012009

Leong, K. E. (2013). Mathematical modelling in the Malaysia secondary school curriculum. Learning Science and Mathematics, 8, 66-74.

Lingefjard, T. (2002). Mathematical modelling for preservice teachers: a problem from anesthesiology. International Journal of Computers for Mathematics Learning, 7, 117-143.

Maab, K. (2006). What are modelling competencies?. International Journal on Mathematics Education, 38(2), 113-142. doi:10.1007/bf02655885

Ryanto, B., Zulkardi, Putri, R. I. I., & Darmawijoyo. (2019). Learning mathematics through modelling tasks in elementary school: using growth of population context. Journal of Physics: Conference Series, 1166, 1-8. doi:10.1088/1742-6596/1166/1/012033

Santos, M. L. K. P., Diaz, R. V., & Belecina, R. R. (2015). Mathematical modelling: effects on problem-solving performance and math anxiety of students. International Letters of Social and Humanistic Sciences, 65, 103-115. doi:10.18052/www.scipress.com/ilshs.65.103

Sekerák, J. (2010). Phases of mathematical modelling and competence of high school students. The teaching of Mathematics, 8(2), 105-112.

Stohlmann, M. S. (2017). Mathematical modelling with middle school students: The robot art model-eliciting activity. European Journal of STEM Education, 2(4), 1-13. doi:10.20897/ejsteme.201704.

Supriadi, Suryadi, D., Sumarmo, U., & C. Rakhmat. (2014). Developing mathematical modelling ability students elementary school teacher education through ethno mathematics-based contextual learning. International Journal of Education and Research, 2(8), 439-452.

Ulu, M. (2017). Examining the mathematical modelling processes of

primary school 4th-Grade students: shopping problem. Universal Journal of Educational Research, 5(4), 561-580. doi:10.13189/ujer.2017.050406

Yuliani, A., & Kusumah, Y. S. (2018). Analysis of mathematical modelling ability of line equations of junior high school students. Journal of Physics: Conf. Series, 1132, 1-8. doi:10.1088/1742-6596/1132/1/012045

Zakaria, E., & Syamaun, M. (2017). The effect of realistic mathematics education approach on students' achievement and attitudes towards mathematics. Mathematics Education Trends and Research, 2017(1), 32-40. doi:10.5899/2017/metr-00093


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