Profil Model Berpikir Mahasiswa Dalam Menyelesaikan Persoalan Logika Matematika Dan Teori Himpunan
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Abstract
This research aims to 1) determine the profiles of students 'thinking models and 2) describe the relationship between students' thinking models in solving mathematical logic problems and set theory. This research is a descriptive study. The instrument used was a test consisting of 3 stages. The targets of the thinking models in the given tests are 1) Arithmetic, 2) Geometric, 3) Abstract, 4) Arithmetic-Geometric, 5) Geometric-Abstract, and 6) Arithmetic-Abstract. The results of this research are 1) the dominance of arithmetic thinking models (72.3%) in the early stages is higher than geometric (60.7%) and abstract (45.7%) thinking models. In the stage II and III tests, there was an increase in abstract thinking skills to 54.6% and 60.2%, respectively. 2) The relationship between thinking models can be identified in stage II and III tests. Arithmetic-Geometric relationships are used in situation modeling and procedural analysis of problems. Geometric-Abstract relationships are used in constructing formal concepts of intusion in cognitive structures. Arithmetic-Abstract relationships are used in generalized patterns and formal proof.
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Putra, D. P. W. (2021). Profil Model Berpikir Mahasiswa Dalam Menyelesaikan Persoalan Logika Matematika Dan Teori Himpunan. Jurnal Pendidikan Matematika RAFA, 7(1), 90-100. https://doi.org/10.19109/jpmrafa.v7i1.7681
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How to Cite
Putra, D. P. W. (2021). Profil Model Berpikir Mahasiswa Dalam Menyelesaikan Persoalan Logika Matematika Dan Teori Himpunan. Jurnal Pendidikan Matematika RAFA, 7(1), 90-100. https://doi.org/10.19109/jpmrafa.v7i1.7681
References
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Bernardi, Claudio. 2016. What Mathematical Logic Says About the Foundations of Mathematics. https://arxiv.org/abs/1602.07551
Ferri, Rita Borromeo. 2006. Mathematical Thinking Style-An Empirical Study. European Research in Mathematics Education III.
Hillel, J. (2000). Modes of description and the problem of representation in linear algebra. In J.-L. Dorier (Ed.), On the teaching of linear algebra (pp. 191-207). Dordrecht: Kluwer Academic Publishers.
O’Leary, Michael L. 2016. A First Course in Mathematical Logic and Set Theory. John Wiley & Sons, Inc : New Jersey.
Sierpinska, Anna. 2000. On Some Aspects of Students’ Thinking in Linear Algebra. In J.-L. Dorier (Ed.), On the Teaching of Linear Algebra (pp. 209-246). Dordrecht, Netherland: Kluwer.
Sierpinska, Anna. 2005. On Practical and Teoretical Thinking and Other False Dichotomies in Mathematics Education. Activity and Sign (Grounding Mathematics Education). pp.117-135. DOI.10.1007/0-387-24270-8_11. Springer : United State.
Çelik, Derya. 2015. Investigating Students’ Modes of Thinking in Linear Algebra : The Case of Linear Independence. International Journal for Mathematics Teaching and Learning. ISSN-1473-0111.