A, Masalah Analogi MASALAH ANALOGI: KAJIAN TEORITIK SKEMA PENALARAN ANALOGI
Main Article Content
Abstract
Instrumen penalaran analogi yang menggunakan analogi klasik (analogi proposional) memberikan tiga posisi teori yaitu (1) penalar melakukan inferring, mapping, dan aplication; (2) penalar melakukan inferring, mapping tanpa aplication; dan (3) penalar melakukan inferring dan aplication tanpa mapping [21]. Ketiga teori yang dihasilkan diperoleh dari instrumen analogi klasik yang berbeda. Permasalahan analogi terdiri dari masalah sumber dan masalah target. Permasalahan analogi yang melibatkan masalah sumber dan masalah target ditemukan 3 skema penalaran analogi yaitu (1) skema penalaran analogi dengan langkah penyelesaian masalah sumber dan masalah target serupa; (2) skema penalaran analogi dengan menambahkan langkah penyelesaian masalah sumber dengan langkah baru pada masalah target; dan (3) skema penalaran analogi dengan langkah penyelesaian masalah sumber bagian dari penyelesaian masalah target. Berdasarkan tiga skema tersebut, memberikan 2 posisi teori penalaran analogi untuk instrumen penalaran analogi yang menggunakan permasalah analogi yaitu (1) penalar melakukan penstrukturan (inferring), pemetaan, penerapan, dan verifikasi; dan (2) penalar melakukan pemetaan dan penerapan.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Copyright Notice
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
References
[2] English, L.D. 1999. Reasoning by analogy. Developing mathematical reasoning in Grades K-12. Reston: National Council of Teacher of Mathematics. Inc.
[3] English, L.D. 2004. Mathematical and analogical reasoning of young learners. New Jersey: Lawrence Erlbaum Associates.
[4] Gentner, D. 1983. Structure-Mapping: A Theoretical Framework for Analogy. Cognitve science, 7: 155-170. Diakses dari https://pdfs.semanticscholar.org/38bf/b182de181738eb50e142e215c67f4cbb4fe3.pdf https://doi.org/10.1016/S0364-0213(83)80009-3
[5] Gentner, D. 1989. The Mechanisms of Analogical Learning. In S. Vosniadou and A. Ortony (Eds.). Similarity and analogical reasoning. Cambridge, MA:Cambridge University Press: 199-241.
[6] Gentner, D., Holyoak, K. J., & Kokinov, B. N. 2001. The Analogical Mind: Perspective from Cognitive Science. Cambridge, MA: MIT Press
[7] Holyoak, K.J., & Thagard, P. 1989. Analogical Mapping by Constraint Satisfaction. Cognitive Science 13: 295-355. Diakses dari http://www.arts.uwaterloo.ca/~pthagard/Articles/holyoak.analogical.cogsci.1989.pdf
[8] Holyoak, K.J, Novick, L, & Metz, E.R. 2004. Component Processes in Analogical Transfer: Mapping, Pattern Completion, and Adaptation. Advances in connectionist and neural computation theory, 2: 113-180. Diakses dari https://www.researchgate.net/publication/232593310_Component_processes_in_analogical_transfer_Mapping_pattern_completion_and_adaptation
[9] Krulik, S., Rudnick, J., & Milou, E. 2003. Teaching mathematics in middle school a practical Guide. USA: Pearson Education. Inc.
[10] Magdas, I. 2015. Analogical Reasoning in Gepmetry Education. Acta Didactica Napocensia, 8(1): 57-65. Diakses dari http://padi.psiedu.ubbcluj.ro/adn/article_8_1_7.pdf
[11] Mofidi, S., Amiripour, P., & Bijan-Zadeh, M.H. 2012. Instruction of Mathematical Concepts Through Analogical Reasoning Skill. Indian Journal of Science and Technology, 5: 2916-2923. Diakses dari http://www.indjst.org/index.php/indjst/article/viewFile/30485/26413
[12] Novick, L.R. 1988. Analogical Transfer, Problem Similarity, and Expertise. Journal of Experimental Psychology: Learning, Memory and Cognition, 14(3): 510-520. Diakses dari http://dx.doi.org/10.1037/0278-7393.14.3.510
[13] Novick, L.R & Holyoak, K.J. 1991. Mathematical Problem Solving by Analogy. Journal Of Experimental Psychology: Learning, Memory And Cognition, 17: 398-415. Diakses dari http://reasoninglab.psych.ucla.edu/KH%20pdfs/Novick_Holyoak[1].1991.pdf
[14] Orgill, K.M, & Bodner, G.M. 2006. An Analysis of the Effectiveness of Analogy Use in College-Level Biochemistry Textbooks. Journal Of Research In Science Teaching, Vo. 43. No.10: 1040-1060. Diakses dari https://www.researchgate.net/profile/George_Bodner/publication/227715603_An_analysis_of_the_effectiveness_of_analogy_use_in_college-level_biochemistry_textbooks/links/00b49521ce6ab5bc7b000000.pdf DOI 10.1002/tea.20129.
[15] Polya, G. 1973. How To Solve It. Princeton: Princeton University Press
[16] Ross, B.H. 2007. This is Like that: The Use of Earlier Problems and The Separation of Similarity Effects. Journal of Experimental Psychology: Learning, Memory and Cognition, 13: 629-639. Diakses dari http://old.nbu.bg/cogs/personal/kokinov/COG501/This_is_like.pdf
[17] Reed, S. K., Ackinclose, C. C., & Voss, A. A. (1990). Selecting analogous problem: Similarity versus inclusiveness. Memory & Cognition, 18(1), 83-89. Diakses dari https://link.springer.com/content/pdf/10.3758%2FBF03202649.pdf
[18] Reed, S.K., Dempster, A., & Ettinger, M. 2005. Usefulness of Analogous Solution for Solving Algebra Word Problems. Journal of Experimental Psychology: Learning, Memory and Cognition, 11: 106-125. Diakses dari https://www.researchgate.net/publication/232572007_Usefulness_of_Analogous_Solutions_for_Solving_Algebra_Word_Problems DOI: 10.1037/0278-7393.11.1.106.
[19] Ruppert, M. 2013. Ways of Analogical Reasoning – Thorught Processes in An Example Based Learning Enviroment. Eighth Congress of European Research in Mathematics Education (CERME 8). 6-10 February 2013, Turkey: Manavgat-Side, Antalya.
[20] Stavy, R. & Tirosh, D. (1993). When analogy is perceived as such. Journal of Research in Science Teaching, 30(10), 1229-1239. Diakses dari https://www.researchgate.net/publication/229505901_When_analogy_is_perceived_as_such DOI: 10.1002/tea.3660301006.
[21] Sternberg, R.J. 1977. Component Processes in Analogical Reasoning. Psychological Review, 84(4): 353-378. Diakses dari http://portal.uni-freiburg.de/cognition/lehre/archiv/WS0910/analogiemat/3rdsitting/Vortrag/Sternberg%201977.pdf
[22] Basok, M. (2001). Semantic alignments in mathematical word problems. In D Gentner, KJ Holyoak, & BN Kokinov (eds.), The analogical mind: Perspective from cognitive science. Cambridge, MA: MIT Press, 401-434.