Peran Pembelajaran Pemodelan Matematika di Sekolah
Abstract
Some problems in real life can be solved by using mathematics. The first step to solving the problem is to formulate or represent the problem in mathematical language. The process of formulating or representing into mathematical language is referred to as mathematical modeling. The implementation of mathematical modeling in the classroom is still relatively new and rarely applied in the classroom. However, based on the statements of several experts, it is explained that mathematical modeling can be taught, studied and suggested to be implemented in the classroom. The purpose of this research is to present the results of studies from several sources data related to the implementation and the role or importance of implementing mathematical modeling learning in the classroom. The research method used in this research was literature review. Furthermore, based on the study of several literatures, it is found that learning mathematical modeling is recommended to be implemented in the classroom because it has many positive effects on students. Some researchers explain that learning mathematical modeling is important to be implemented in the classroom because it can improve students motivation, creativity, and independence in learning mathematics. However, it also explains some of the weakness of learning mathematical modeling and recommendations for follow-up.
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References
Ang, K. C. (2012). Mathematical modelling as a learning experience in the classroom. Electronic Proceedings of the 17th Asian Technology Conference in Mathematics. Bangkok: Thailand.
Arseven, A. (2015). Mathematical Modelling Approach in Mathematics Education. Universal Journal of Education Research, 3(12), 973–980.
Bassanezi, R. C. (1994). Modelling as a teaching-learning strategy. For the Learning of Mathematics, 14(2), 31-35.
Bliss, K., Libertini, J., Levy, R., Zbiek, R. M., Galluzo, B., Long, M., Teague, D., Godbold, L., Malkevitch, J., Kooij, H. V. D., Giardano, F., Fowler, K., Pollack, H., Gould, H., Montgomery, M., Garfunkel, S. (2016). GAIMME: Guidelines for Assessment & Instruction in Mathematical Modelling Education. United State America: COMAP & SIAM.
Blum, W., Alsina, C., Biembengut, M. S., Bouleau, N., Confrey, J., Galbraith, P., Ikeda, T., Lingefjärd, T., Muller, E., Niss, M., Verschaffel, L., Wang, S., Hodgson, B. R., & Henn, H. W. (2002). ICMI Study 14: Application and meodelling in mathematics education - discussion document. Educational Studies in Mathematics, 51(2), 149 - 171.
Crouch, R., & Haines, C. (2004). Mathematical modelling: transitions between the real world and the mathematical model. International Journal of Mathematical Education in Science and Technology. 35(2), 187-206. ISSN 0020-739X, retrieved 2 Maret 2017, from http://www.tandf.co.uk/journals http://doi.org/10.1080/00207390310001638322.
Ee, D. N. K., & Hoe, L. N. (2012). Mathematical Modelling: A Collection of Classroom Tasks. Singapore: Alston.
English, L. D., & Watters, J. J. (2004). Mathematical modelling with young children. In J. M. Hoines & B. A. Fuglestad (Eds.), Proceedings of the 28th International PME Conference. Bergen, Norway: Bergen University College.
Ferri, R. B. (2018). Learning How to Teach Mathematical Modeling in School and Teacher Education. Kassel: Springer International Publishing.
Frejd, P., & Bergsten, C. (2018). Professional Modellers’ Conceptions of the Notion of Mathematical Modelling : Ideas for Education. ZDM, 50(1), 117–127. http://doi.org/10.1007/s11858-018-0928-2.
Gould, H. (2013). Teachers' conceptions of mathematical modeling. Unpublish Doctoral Dissertation. New York: Columbia University.
Greer, B. (1997). Modeling reality in mathematics education: the case of word problem. Learning and Instruction, 7(4), 293-298.
Hirsch, C. R., McDuffie, A. R. (2016). Mathematical Modeling and Modeling Mathematics. Reston, VA: National Council of Teachers of Mathematics.
Hunt, J. (2007). Communicating big themes in applied mathematics. In: Haines, C., Galbraith, P., Blum, W., & Khan, S. (Eds). Mathematical modelling (ICTMA 12): Education, engineering and economics: Proceedings from the Twelfh International Conference on the Teaching of Mathematical Modelling and Applications. Chichester: Horwood.
Knott, A. (2014). The Process of Mathematisation in Mathematical Modelling of Number Patterns in Secondary School Mathematics. Unpublish Doctoral Dissertation: Stellenbosch University.
Krutikhina, M. V., et. al. (2018). Teaching of Mathematical Modeling Elements in the Mathematics Course of the Secondary School. EURASIA Journal of Mathematics, Science and Technology Education,14(4), 1305–1315.
Lesh, R., & Doerr, H. M. (2003). Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching. New York: Lawrence Erlbaum Associates, Inc.
Lesh, R. (2012). Research on models & modeling and implications for common core state curriculum standards. In: Mayes, R., Hatfield, L., & Belbase, S. (Eds.), WISDOMe Monograph: Quantitative reasoning and mathematical modeling: A driver for STEM integrated education and teaching in context. Laramie, WY: University of Wyoming.
Maaß, J., O'Meara, N., Johnson, P., & O'Donoghue, J. (2018). Mathematical Modelling for Teacher: A Practical Guide to Applicable Mathematics Education. Switzerland: Springer.
Maaß, K., & Gurlitt, J. (2009). Designing Teacher Questionnaire to Evaluate Professional Development in Modelling. Proceeding CERME. Freiburg: University of Education Freiburg.
Maaß, K. (2010). Classification Scheme for Modelling Tasks. J Math Didakt, 31(1), 285-311. http://doi.org/10.1007/s13138-010-0010-2.
Manouchehri, A., Yao, X., & Saglam, Y. (2018). Nurturing Knowledge of Mathematical Modeling for Teaching. Springer International Publishing. http://dx.doi.org/10.1007/978-3-319-91059-8_12.
Meyer, H. (2006). Standards of good instruction. University of Gifu Bulletin. Berlin: Cornelsen Scriptor.
Mukhopadhyay, S., & Greer, B. (2001). Modeling with purpose: Mathematics as a critical tool. In: Atweh, W., Forgaz, H., & Nebres, B. (Eds). Sociocultural research on mathematics education: An international perpective Mahwah. NJ: Lawrence Erlbaum.
O ̈zdemir, E and U ̈zel, D. (2012). Student Opinions On Teaching Based On Mathematical Modelling. Procedia Social and Behavioral Sciences, 55: 1207-1214.
Pollack, H. O., Gould, H., Murray, D. R., & Sanfratello, A. (2012). Mathematical Modeling Handbook. Columbia: COMAP.
Schmidt, B. (2012). Modelling in Mathematics Classrooms. Motives and Obstacles from the Teachers' Perspective. Hildesheim: Franzbecker.
Spandaw, J., & Zwaneveld, B. (2010). Modelling in Mathematics' Teachers' Professional Development. Proceedings of CERME 6. Lyon: France.
Swetz, F., & Hartzler, J. S. (1991). Mathematical Modelling in the Secondary School Curriculum. Reston, VA: The National Council of Teachers of Mathematics.
Wang, H., & Li, S. (2018). Indicators , Models and Mathematical Modeling. Introduction to Social Systems Engineering. Singapore: Springer Nature Singapore Ptc Ltd. https://doi.org/10.1007/978-981-10-7040-2_6.
Winter, H. (2004). Mathematikunterricht und Allgemeinbildung. In: Henn, H. W., & Maaß, K. (Eds.), ISTRON Materialien fiir einen realitdtsbezogenen Mathematikunterricht, Band8. Hildesheim: Franzbecker.
Wittman, G., & Marxer, M. (2009). Normative Modellierungen. Mathematik Lehren, 153(1), 10-15.
Yanagimoto, T. (2005). Teaching modelling as an alternative approach to school mathematics. Teaching Mathematics and Its Applications, 24(1), 1-13.
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