Students’ Mathematical Representation in Geometry Problem Solving Based Sex Differences

Adnan S(1Mail), Dwi Juniati(2), Raden Sulaiman(3),
(1) Surabaya State University, Indonesia
(2) Department of Mathematics Education, Surabaya State University, Surabaya, Indonesia
(3) Department of Mathematics Education, Surabaya State University, Surabaya, Indonesia

Mail Corresponding Author
Copyright (c) 2019 Adnan. S, Dwi Juniati, Raden Sulaiman

DOI : https://doi.org/10.33122/ijtmer.v2i4.94

Full Text:  
Pages: 184-187
Language : en

Abstract


This study aims to describe the mathematical representation of students solving geometric problems based on sex differences. Both subjects have equivalent mathematical abilities based on the results of the math ability test. The results showed that the subject used mathematical representation in expressing his idea to solve geometry problems by using Polya's problem solving steps: (a) understanding the problem (b) devising the plan (c) carrying out the plan, and (d) looking back. The mathematical representations of female subjects in solving geometric problems are: understanding information and what is asked verbally and symbolically, carrying the plans visually in the form of geometric formulas and mathematics, carrying out planning by drawing, and manipulating mathematical models, at the stage of looking back the subject performed symbolic recalculation. While mathematical representations of male subjects in express their ideas to solve geometric problems by: understanding information and what is asked verbally, devising the plans in visual form in the form of images and then making mathematical formulas, carrying out the plans by manipulating mathematical models that has been made and looking back by doing recalculation and writing conclusions.

Keywords


Mathematical representation; Geometry problem solving; Sex difference;

References


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.

Albert A. Cuoco. (2001). The Roles of Representation in School Mathematics 2001 Yearbook: National Council of Teachers of Mathematics.

Bahri, A. S., Lukito, A., & Masriyah, M. (2019). Students' Relational Thinking in Solving Word Problem Based Cognitive Style. International Journal of Trends in Mathematics Education Research, 2(1), 37-39.

Bergstrom, C.. & Zhang, D. (2016). Geometry Interventions for K-12 Students with and without Disabilities: A Research Synthesis. International Journal of Educational Research, 80. 134-154.

Fabiyi, T. R. (2017). Geometry Concepts in Mathematics Perceived Difficult To Learn By Senior Secondary School Students in Ekiti State, Nigeria. TOSR Journal of Research & Method in Education (IOSR-JRME). 70 (1), 83-90.

Fonna, M., & Mursalin, M. (2019). Using of Wingeom Software in Geometry Learning to Improving the of Mathematical Representation Ability. Malikussaleh Journal of Mathematics Learning (MJML), 1(2).

Fonna, M., & Mursalin, M. (2018). Role of Self-Efficacy Toward Students’ Achievement in Mathematical Multiple Representation Ability (MMRA). Jurnal Ilmiah Peuradeun, 6(1), 31-40.

Gagatsis, A., & Elia, I. (2004). The Effect of Diferent of Representations on Mathematics Problem Solving. Procceding of the 28th conference of the international group for the psychology of mathematics education, Vol.2 P. 447-454. ERIC.

Godino, J.D., & Font, V. (2010). The Theory of Representation As Viewed from the Onto-Semiotic Approach to Mathematic Education. Mediterranean Journal for Research in Mathematics Education, 9(1), 189-210.

Goldin , G.A. (2002). Representation in Mathematical Learning and Problem Solving. International Research in Mathematics Education. New Jersey: Lawrence Erlbaum Associates.

Goldin, G., & Stheingold, N. (2001). System of representations and The Development of Mathematical Concepts. The Roles of Representation in School Mathematics NCTM yearbook 2001. Reston: NCTM.

Kalathil, R.R., & Sherin, M.G. (2000). Role of Students’ Representations in the Mathematics Classroom. In B. Fishman & S. O’Connor-Divelbiss (Eds), Fourth International Conference of the Learning Sciences (p. 27-28). Mahwah, NJ: Erlbaum.

Krutetski, V. A (1976). The Psychology of Mathematics Abilities in School Children. Chicago: The University of Chicago Press.

Lakin, J.M. (2013). Sex Differences in Reasoning Abilities: Surprising Evidence that Male-Female Ratios in The Tails of The Quantitative Reasoning Distribution Have Increased. Alabama: Department of Educational Foundations, Leadership, and Technology, Auburn University.

Macoby, EE., & Jacklyn, C.N. (1974). The Psychology of Sex Differences. Stanford: Standford University.

Mairing, J.P., Budayasa, I.K, & Juniati, D. (2012). Perbedaan Profil Pemecahan Masalah Peraih Medali OSN Matematika Berdasarka Perbedaan Jenis Kelamin. Jurnal Ilmu Pendidikan, 18(2).

Mullis, I. V. S., Martin, M. O. Ruddock, G. J., O'Sullivan, C. Y. & Preuschoft, C. (2009), TIMSS 2011 Mathematics Framework. Amsterdam: TIMSS & PIRLS International Study Center Lynch School of Education, Boston College.

NCTM. (2000). Principles and Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics.

Nurhadi, M., Hizqiyah, I. Y. N., & Saraswati, A. (2019). Application of The Problem Based Learning Method Trought Authentic Assessment Approach to Improving the Habits of Mind. International Journal of Trends in Mathematics Education Research, 2(2), 68-71.

Panasuk, R. M., & Beyranevand, M. L. (2011) Preferred Representations of Middle School Algera Students When Solving Problems. The Mathematics Educator. 13 (1), 32-52.

Pape, S.J., & Tschoshanov, M. (2001). The Role of Representation(s) in Developing Mathematical Understanding. Theory into Practice, Realizing Reform in School Mathematics (Spring, 2001). 40 (2), 118-127.

Polya, G. (1981). Mathematical Discovery: On Understanding, Learning, and Teaching Problem Solving. Printed in the United States of America.

Polya, G. (2004). How to Solve It: A New Aspect of Mathematical Method. With a New Foreword by John H Conway. United States of America: Princeton University Press.

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.

Royani, M., & Agustina, W. (2019). Junior High School Students Ability to Use The Polya’s Step to Solve Mathematical Problems Through Problem Based Learning. International Journal of Trends in Mathematics Education Research, 2(2), 86-90.

Salkind & Hjalmarson. (2007). Mathematical Representations. Spring. George Mason University.

Selling, S. K. (2016). Learning to represent, representing to learn. Journal of Mathematical Behavior. 41, 191-209

Soedjadi, R. (2000). Kiat Pendidikan Matematika Di Indonesia Konstatasi Keadaan Masa Kini Menuju Harapan Masa Depan. Direktorat Jenderal Pendidikan Tinggi Departemen Pendidikan Nasional: Jakarta.

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.


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