Students’ Mathematical Reasoning in Learning of Transformation Geometry

Rosa Amalia Adiafidah, Abd Qohar

Abstract


Mathematical reasoning is component that must be built by students.  Mathematical reasoning plays an important role in solving problems and delivering ideas in learning mathematics.  Students learn that reasoning is not just how to convince themselves and friends but also to convince the wider community of a class.  Furthermore, reasoning can be a vehicle for shaping mathematical knowledge that can be developed, and accessed by members of the community in the class.  Geometry transformation material is one material that is very close to everyday life. This research is a qualitative descriptive study that aims to describe the mathematical reasoning of students in learning the transformation geometry.  The subjects in this study were students of class XI MIPA 5 in MAN Batu, Malang, East Java.  Through the process of mathematical reasoning, students are able to fulfill basic competencies, namely analyzing and comparing transformation and composition of transformations using matrix.


Keywords


mathematical reasoning and proof; geometry transformation; reflection

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References


Ayal, C. S., & Kusuma, Y. S. (2016). The Enhancement of Mathematical Reasoning Ability of Junior High School Students by Applying Mind Mapping Strategy, Journal of Education and Practice, 7(25), 50–58.

Bieda, K. N. (2010). Enacting Proof-Related Tasks in Middle School Mathematics : Challenges and Opportunities, Journal for Research in Mathematics Education 41(4), 351–382.

Febrian, & Perdana, S. A. (2017). Memfasilitasi Penalaran Geometri Transformasi Siswa Melalui Eksplorasi Motif Melayu Dengan Bantuan Grid. Jurnal Gantang Vol. II, No. 2, September 2017, II(2), 157–164. Retrieved from http://ojs.umrah.ac.id/index.php/gantang/index

Hong, D. S., Choi, K. M., Reasoning, K. M., Hong, D. S., & Choi, K. M. (2018). Reasoning and Proving Opportunities in Textbooks : A Comparative Analysis To cite this article : Reasoning and Proving Opportunities in Textbooks : A Comparative Analysis. https://doi.org/10.21890/ijres.382937

Liu, Y., & Manouchehri, A. (2013). Middle School Children’s Mathematical Reasoning and Proving Schemes, 6(1), 18–40.

Maria, K., Aiso, R. Æ., & Alexander, H. Æ. (2008). Reasoning and proof in geometry : Effects of a learning environment based on heuristic worked-out examples Reasoning and proof in geometry : effects of a learning environment based on heuristic worked-out examples, (August). https://doi.org/10.1007/s11858-008-0105-0

Mashingaidze, S. (2017). The Teaching of Geometric ( Isometric ) Transformations at Secondary School Level : What Approach to Use and Why ?, 8(15), 197–210. https://doi.org/10.5539/ass.v8n15p197

Mason, J. (2014). Questions About Mathematical Reasoning And Proof ( Opening Address To QCA Conference Oct 2001 ), (June).

McFeetors, P. J., & Palfy, K. (2018). Educative experiences in a games context: Supporting emerging reasoning in elementary school mathematics. Journal of Mathematical Behavior, 50(February), 103–125. https://doi.org/10.1016/j.jmathb.2018.02.003

National Council of Teacher of Mathematics. (2000). Principles and Standards for School Mathematics. School Science and Mathematics (Vol. 47). https://doi.org/10.1111/j.1949-8594.2001.tb17957.x

Norqvist, M., Jonsson, B., & Lithner, J. (2019). Eye-tracking data and mathematical tasks with focus on mathematical reasoning. Data in Brief, 25, 104216. https://doi.org/10.1016/j.dib.2019.104216

O’Neill, S. (2019). Mathematical Reasoning Challenges Artificial Intelligence. Engineering, 5(5), 817–818. https://doi.org/10.1016/j.eng.2019.08.009

Otten, S., Gilbertson, N. J., & Males, L. M. (2014). The Mathematical Nature of Reasoning- and-Proving Opportunities in Geometry Textbooks, (February). https://doi.org/10.1080/10986065.2014.857802.

Paliwal, V., & Baroody, A. J. (2020). Fostering the learning of subtraction concepts and the subtraction-as-addition reasoning strategy. Early Childhood Research Quarterly, 51, 403–415. https://doi.org/10.1016/j.ecresq.2019.05.008

Walkington, C., Woods, D., Nathan, M. J., Chelule, G., & Wang, M. (2019). Does restricting hand gestures impair mathematical reasoning? Learning and Instruction, 64(June 2018), 101225. https://doi.org/10.1016/j.learninstruc.2019.101225

Wong, K. (2016). Reasoning - and - proving in geometry in school mathematics textbooks in Hong Kong The context : Hong Kong SAR.




DOI: http://dx.doi.org/10.24014/sjme.v6i1.9211

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