THE CORRELATION BETWEEN STUDENT’S MATHEMATIZATION AND MATHEMATICAL DISPOSITION IN IMPLEMENTING GENERATIVE LEARNING

Eka Firmansyah, Saifurrahman Iman Pratomo

Abstract


This paper reports the result of an experiment with a pretest-posttest control group design, which aims to find out the role of generative learning model and student’s basic mathematical knowledge (BMK) in the improvements of students’ mathematization and the correlation between students’ mathematization and mathematical disposition. The subjects of the study included 73 eight grade students of a junior high school. The instrument of this study was a set of mathematical tests adopted from the Indonesian National Examination (UN). The data were analyzed using t-test and non-parametric Mann-Whitney U test. This study finds that the generative learning model had effects on students’ mathematization and basic mathematical knowledge (BMK).

Keywords


generative learning model; basic mathematical knowledge; mathematization; mathematical disposition

Full Text:

PDF

References


Bonn, K. L., & Grabowski, B. L. (2001, January). Generative learning theory: A practical cousin to constructivism. Paper presented at the Joint Meeting of Mathematics, New Orleans, L. A.

Blum, W., Niss, M. & Huntley, I. (eds). (1989). Modelling, applications and applied problem solving - teaching mathematics in a real context. Chichester: Ellis Horwood.

Crouch, R., & Haines, C. (2004). Mathematical Modeling: Transitions between The Real World and The Mathematical Model. International Journal for Mathematics Education in Science and Technology, 35, 197-206. doi: https://doi.org/10.1080/00207390310001638322.

Darhim. (2004). Pengaruh Pembelajaran Matematika Kontekstual terhadap Hasil Belajar dan Sikap Siswa Sekolah Dasar kelas Awal. (Unpublished Dissertation). The School of Postgraduate Studies of UPI, Bandung.

de Lange, J. (1987). Mathematics, Insights, and Meaning. Utrecth The Netherlands: OW & OC.

Farouk, A. & Elfateh, A. (2016). Effectiveness use generative learning model on strategic thinking skills and learning level of basics offensives. Science, Movement, and Health, 16(1), 33-38.

Galbraith, P. L., Stillman, G., & Brown, J. (2010). Turning Ideas into Modeling Problems. In R. Lesh, P. L. Galbraith, C. R. Haines & A. Hurford (Eds.), Modeling Students' Mathematical Modeling Competencies (pp. 133-144): Springer US.

Ministry of Education and Culture. (2011). Modul Matematika SMP Program Bermutu. Jakarta: Center for Development and Empowerment of Teachers and Education Personnel of Mathematics.

Ministry of Education and Culture. (2013). Modul Matematika SMP Program Bermutu. Kependidikan Jakarta: Center for Development and Empowerment of Teachers and Education Personnel of Mathematics.

Lesh, R., Doerr, H. M., Carmona, G., & Hjalmarson, M. (2003). Beyond constructivism. Mathematical Thinking and Learning, 5(2), 211-234. doi: https://doi.org/10.1207/S15327833MTL0502&3_05.

Mass, K. (2006). What are competencies. University of Education Freiburg: ZDM 38(2), 113-141.

Maknun, J. (2015). The implementation of generative learning model on physics lesson to increase mastery concepts and generic science skills of vocational students. American Journal of Educational Research, 3(6), 742-748. doi: 102.12691/education-3-6-12.

Matlin, M.W. (1994). Cognition (Third Edition). U.S.: Harcourt Brace Publishers.

Mousoulides, N. (2007). A modeling perspective in the teaching and learning of mathematical problem solving (Unpublished Doctoral Dissertation). University of Cyprus.

Nasution, S. (1996). Metode Penelitian Naturalistik Kualitatif. Bandung: Tarsito.

Niss, M., Blum, W. & Galbraith, P. (2007). Introduction. In W. Blum, P. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMIstudy (pp. 3–32). New York: Springer-Verlag. doi: https://doi.org/10.1007/978-0-387-29822-1_1.

Piaget, J. (1950). The psychology of the child. London, England: Routledge & Kegan.

Ruseffendi, E.T. (1998). Statistika Dasar untuk Penelitian Pendidikan. Bandung: Tarsito.

Verschaffel, L., Greer, B. & De Corte, E. (2002). Everyday Knowledge and Mathematical Modeling of School Word Problems. In Gravemeijer, K., Lehrer, R., Oers, B., van and Verschaffel, L. (Eds.), Symbolizing, Modeling and Tool Use in Mathematics Education (pp. 171-195). Netherlands: Kluwer Academic Publishers. doi: https://doi.org/10.1007/978-94-017-3194-2_16.

Wittrock, M. C. (1992). Generative learning processes of the brain. Journal of Educational Psychologist, 27(4): 531-541. doi: https://doi.org/10.1207/s15326985ep2704_8.




DOI: https://doi.org/10.17509/ije.v9i2.5481

Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 Saifurrahman Iman Pratomo



Lisensi Creative Commons
This work is licensed under Creative Commons Attribution-ShareAlike 4.0 International License.