Profil Argumentasi Mahasiswa Dalam Melakukan Pembuktian Pada Topik Analisis Kompleks
DOI:
10.29303/jm.v1i1.1243Published:
2019-07-03Downloads
Abstract
Tulisan ini merupakan bagian dari penelitian yang dimaksudkan untuk mendapatkan gambaran tentang profil argumentasi mahasiswa Matematika FKIP Unram dalam melakukan pembuktian matematik. Tulisan ini hanya fokus pada data responden dalam mengembangkan argumen pembuktian pada topik Analisis Kompleks. Hasil analisis menunjukkan bahwa mahasiswa masih mengalami kesulitan dalam menyajikan argumen pembuktian yang valid. Dari 62 responden dalam membuktikan dua pernyataan matematik, diketahui bahwa hanya 24.2% argumen valid, sedangkan sisanya tidak valid, bahkan 14.5% diantaranya tidak menjawab. Kelemahan argumen yang dikembangkan diakibatkan oleh kombinasi antara tidak tepatnya Data maupun Warrant yang digunakan.References
Ufer, S.; Heinze, A.; Reiss, K., (2008). Individual Predictors of Geometrical Proof Competence. Proceedings of the Joint Meeting of the 32nd Conference of the International Group for Psycology of Mathematic Education, and the XX North American Chapter Vol. 1, pp. XXX-YYY. Morelia, Michoacan, Mexico.
Sommerhoff, D.;Ufer, S.; Kollar, I., (2015). Research on Mathematical Argumentation: A Descriptive Review of PME Proceedings. Proceedings of 39th Psycology of Mathematics Education Conference, Vol.4, pp.193-200. Hobart, Australia.
Boero, P., 1999. Argumentation an Mathematical Proof: A Complex, Productive, Unavoidable Relationship in Mathematic and Mathematic Education.
Vincent, J.; Chick, H.; McCrae, B., (2005). Argumentation Profile Charts as Tools for Analysing Studentsââ¬â¢ Argumentations. Proceedings of the 29th Conference of the International Group for the Psycology of Mathematics Education, Vol.4, pp.281-288. Melbourne.
Banegas, J.A., (2003). Argumentation in Mathematics. XIIe Congres Valencia de Filosofia (E. Casaban I Moya, editor), Valencia, 1998. Translated by Miguel Gimenez & Andrew Aberdein of University of Edinburgh.
Stylianides, G.J. and Stylianides, A.J., (2017). Research-Based Interventions in the Area of Proof: the Past, the Present, and the Future. Educ Stud Math, 96:119-127. Springer Science+Business Media B.V. DOI 10.1007/s10649-017-9782-3.
Stylianides, A.J., (2018). Secondary Studentsââ¬â¢ Proof Constructions in Mathematics: The Role of Written Versus Oral Mode of Argument Representation. Review of Education, Volââ¬Â¦ No.... DOI:10.1002/rev3.3157.
Marshall, J.C., and Horton, R.M., (2011). The Relationship of Teacher-Facilitated, Inquiry-Based Instruction to Students Higher-Order Thinking. School Science and Mathematics. Volume 111 (3) : 93-101.
Fischer, F., Kollar, I., Ufer, S., Sodian, B., . . . Eberle, J., 2014. Scientific Reasoning and Argumentation: Advancing an Interdisciplinary Research Agenda in Education. Frontline Learning Research 5, 28-45.
Sugiyono, (2008). Metode PenelitiaanPendidikan Pendekatan Kuantitatif, Kualitatif, dan R&D. Alfabeta, Bandung.
Toulmin, S., (2003). The Uses of Argument, Updated Edition.Cambridge University Press. Page 90.
Pedemonte, B., (2007). Structural Relationship between Argumentation an Proof in Solving Open Problem in Algebra. Instituto per le Tecnologie Didattiche-CNR Genova.
Barrier, Th.; Mathe, A.-C.; Durand-Guerrier, V., (2009). Argumentation and Proof: A Discussion about Toulminââ¬â¢s and Duvalââ¬â¢s Models. Proceeding of CERME 6, January 28th-February 1st 2009, Lyon France.
Toulmin, S., (2003). The Uses of Argument, Updated Edition. Cambridge University Press. Page 90-92.
Simpson, A. (2015). The Anatomy of a Mathematical Proof: Implications for Analyses with Toulminââ¬â¢s Scheme. Educational Studies in Mathematics., 90 (1). Pp. 1-17. https://dx.doi.org/10.1007/s10649-015-9616-0.
Heinze, A., (2004). The Proving Process in Mathematics Classroom ââ¬âMethod and Results of a Video Study. Proceeding of the 28th Conference of the International Group for Psychology of Mathematics Education. Vol 3 pp 41-48.
Healy, L., Hoyles, C., (2000). A Study of Proof Conception in Algebra. Journal for Research in Mathematics Education, Vol. 31, No.4. pp. 396-428.
Harel, G. and Sowder, L., (2003). Case Studies of Mathematics Majorsââ¬â¢ Proof Understanding, Production, and Appreciation. Canadian Journal of Science, Mathematics and Technology Education, Volume 3, 2003.




