Student’s Reversibility in Solving Algebraic Problem
(1) Master of Program of Mathematics Education, State University of Surabaya, Surabaya, 60231, Indonesia
(2) Master of Program of Mathematics Education, State University of Surabaya, Surabaya, 60231, Indonesia
(3) Master of Program of Mathematics Education, State University of Surabaya, Surabaya, 60231, Indonesia
Copyright (c) 2019 Entya Esa Fitmawati, Tatag Yuli Eko Siswono, Agung Lukito
DOI : https://doi.org/10.33122/ijtmer.v2i4.98
Language : en
Reversibility is a mental process to construct two-way correlation from an initial condition to the result, and from result reverse to initial state. The concept of reversibility is a key aspect of the development of mathematics which is often problema for student. Reversible thinking is the primary requirement to solve mathematical problems. The importance of reversibility is one of the reasons in this study. The aimed of this study was to identify student’s reversibility in solving algebaic problems. The subject consisted of 32 junior high school student’s, especially at the eight grade. In this qualitative study, data were collected by a reversibility task and interview. The reversibility task contained simple equation. The result of this study indicate that reversibility aspect of solving algebaic problem can identified were reciprocity and negation, in this case reciprocity was more prominent. This could be seen from 32 junior high school students were able to make equation according to the reversibility aspect, but there were only five students are be able to fulfill two aspect of reversibility, described as negation and reciprocity, the others only fill reciprocity. The result showed that the problem related reversibility on junior high school still exist, especially in the aspect of negation.
Anggraeni, R., Andriani, S., & Yahya, A. D. (2019). Effect of Thinking Aloud Pair Problem Solving (TAPPS) Method with Audio Visual Media for Students' Critical Thinking Ability. International Journal of Trends in Mathematics Education Research, 2(1), 31-33.
Adi, H. (1978). Development and Intellectual of Thoght in Equation. Journal for Research in Mathematics Education, 9(3), 204-213.
Bogdan, R.C., and Biklen, S.K. (1998). Qualitative Research for education: an Introduction to Theory and Methods. Boston: Allyn & bacon, 96-97.
Greenes, C. (2004). Algebra: It’s Elementary. khy
Krutetskii, V. A. (1976). The Psychology of Mathematical Abilities in Schoolchildren. Survey of Recent East European Mathematical Literature. Chicago: The University of Chicago Press.
Simon, M. A., Kara, M., Placa, N., & Sandir, H. (2016). Categorizing and promoting reversibility of mathematical concepts. Educational Studies in Mathematics, 93(2), 137-153.
Inhelder, B., Piaget, J. (1958). The Growth of Logical Thinking from Childhood to Adolescecse. New York: Basic Book.
Hackenberg, A. J., & Lee, M. Y. (2015). Relationships between students’ fractional knowledge and equation writing. Journal for Research in Mathematics Education, 46(2), 196–243. https://doi.org/10.5951/jresematheduc.46.2.0196.
Kang , Mee-Kwang., & Lee, Byung-Soo. 1999. On Fuzzied Representation of Piagetian reversible Thinking. Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education, Vol. 3, No. 2 November 1999, 99-112.
Kaput, J. (1998). Teaching and Learning a New Algebra with Understanding. Dartmouth, MA:NCISLA,34-36.
Rohimah, S. M., & Prabawanto, S. (2019). Student’s Difficulty Identification in Completing the Problem of Equation and Trigonometry Identities. International Journal of Trends in Mathematics Education Research, 2(1), 34-36.
Simon, M. A., Kara, M., Placa, N., & Sandir, H. (2016). Categorizing and promoting reversibility of mathematical concepts. Educational Studies in Mathematics, 93(2), 137 153.
Slavin, R.E. (2006). Educational Psycology: Theory and Practice. Boston: Ally & Baco, 43-51.
Suh, J.M. (2007). Developing Algebra-‘Rithmetic in the Elementary Grades. 7 Agustus 206). www.nctm.org
Maf’ulah, S., Juniati, D., and Siswono., T.E.Y. (2017). The Aspects of Reversible Thinking in Solving Algebraic Problems by an Elementary Student Winning national Olypiad Medals in Science. World Transactions on Engineering and Tecnology Education. 15, 189.
Winarso, W., & Haqq, A. A. (2019). Psychological Disposition of Student; Mathematics Anxiety Versus Happiness Learning on the Level Education. International Journal of Trends in Mathematics Education Research, 2(1), 19-25.
Article MetricsAbstract Views : 240 times
PDF Downloaded : 91 times
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.