Analysis on Relational-Understanding in Solving Problem for Field Independent Students

Nok Izatul Yazidah, Dian Fitri Argarini, Yunis Sulistyorini


The purpose of this study is to describe students’ relational understanding in solving problems for FI students. The subjects of this research are Senior High School students having field independent cognitive style in Malang and chosen randomly. The subjects consist of two students. Sheet of GEFT test, sheet of Combinatorial questions, and interview sheet were used in this study. The finding of the study showed that medium-academic achievement student had an ability on relational understanding as the same as the high-academic achievement student. Meanwhile, the process in solving problem made by the high-academic achievement student was likely similar to the accurate process in solving problems.


relational understanding, solving problem, field independent, gender

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Amato, S. A. (2004). Improving Student Teachers’ Attitudes to Mathematics. International Group for the Psychology of Mathematics Education.

Anwar, R. B., Yuwono, I., & As’ ari, A. R. (2016). Mathematical Representation by Students in Building Relational Understanding on Concepts of Area and Perimeter of Rectangle. Educational Research and Reviews, 11(21), 2002–2008.

Ayllón, M. F., Gómez, I. A., & Ballesta-Claver, J. (2016). Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving. Journal of Educational Psychology-Propósitos y Representaciones, 4(1), 195–218.

Barmby, P., Harries, T., Higgins, S., & Suggate, J. (2007). How can we assess mathematical understanding. In Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 41–48). ERIC.

Beswick, K. (2005). Preservice Teachers’ Understandings of Relational and Instrumental Understanding. International Group for the Psychology of Mathematics Education, 2, 161–168.

Boaler, J. (2008). Promoting ‘relational equity’and high mathematics achievement through an innovative mixed-ability approach. British Educational Research Journal, 34(2), 167–194.

Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications.

Draper, R. J. (2002). School mathematics reform, constructivism, and literacy: A case for literacy instruction in the reform-oriented math classroom. Journal of Adolescent & Adult Literacy, 45(6), 520–529.

Ferrini-Mundy, J. (2000). Principles and standards for school mathematics: A guide for mathematicians. Notices of the American Mathematical Society, 47(8).

Friel, S., Rachlin, S., Doyle, D., Nygard, C., Pugalee, D., & Ellis, M. (2001). Navigating through algebra in grades 6–8. Principles and standards for school mathematics navigations series. Reston, VA: National Council of Teachers of Mathematics.

Geary, D. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37(1), 4–15.

Graham, K. J. (2001). Principles and standards for school mathematics and teacher education: Preparing and empowering teachers. School Science and Mathematics, 101(6), 319–327.

Hebert, L. (2001). A comparison of learning outcomes for dual-enrollment mathematics students taught by high school teachers versus college faculty. Community College Review, 29(3), 22–38.

Hodkinson, P. (2005). Learning as cultural and relational: Moving past some troubling dualisms. Cambridge Journal of Education, 35(1), 107–119.

Indonesia, P. P. R. (2005). Standar Nasional Pendidikan. Jakarta. Departemen Pendidikan Nasional.

Jordan, N. C., & Levine, S. C. (2009). Socioeconomic variation, number competence, and mathematics learning difficulties in young children. Developmental Disabilities Research Reviews, 15(1), 60–68.

Knuth, E. J., Alibali, M. W., McNeil, N. M., Weinberg, A., & Stephens, A. C. (2005). Middle school students’ understanding of core algebraic concepts: Equivalence & variable. Zentralblatt Für Didaktik Der Mathematik, 37(1), 68–76.

Lusiana, R. (2017). Analisis kesalahan Mahasiswa dalam memecahkan masalah pada materi himpunan ditinjau dari gaya kognitif. Jurnal Penelitian Dan Pembelajaran Matematika, 10(1).

McNeil, N. M., Grandau, L., Knuth, E. J., Alibali, M. W., Stephens, A. C., Hattikudur, S., & Krill, D. E. (2006). Middle-school students’ understanding of the equal sign: The books they read can’t help. Cognition and Instruction, 24(3), 367–385.

Morgan, P. L., Farkas, G., & Wu, Q. (2009). Five-year growth trajectories of kindergarten children with learning difficulties in mathematics. Journal of Learning Disabilities, 42(4), 306–321.

Mousley, J. (2004). An Aspect of Mathematical Understanding: The Notion of" Connected Knowing". International Group for the Psychology of Mathematics Education.

Nasional, D. P. (2006). Peraturan Menteri Pendidikan Nasional Republik Indonesia Nomor 22 Tahun 2006 tentang Standar Isi untuk Satuan Pendidikan Dasar dan Menengah. Jakarta: Departemen Pendidikan Nasional.

Olivia, C., & Pinta, D. (2013). Meiliasari.(2013). Mengembangkan pemahaman relasional siswa mengenai luas bangun datar segiempat dengan pendekatan PMRI. In Seminar Nasional Matematika dan Pendidikan Matematika (pp. 125–132).

Pendidikan, B. S. N. (2007). Standar Proses untuk Satuan Pendidikan Dasar dan Menengah. Badan Standar Nasional Pendidikan.

Richland, L. E., Stigler, J. W., & Holyoak, K. J. (2012). Teaching the conceptual structure of mathematics. Educational Psychologist, 47(3), 189–203.

Sahin, Z., Yenmez, A. A., & Erbas, A. K. (2015). Relational Understanding of the Derivative Concept through Mathematical Modeling: A Case Study. Eurasia Journal of Mathematics, Science & Technology Education, 11(1).

Skemp, R. R. (2006). Relational understanding and instrumental understanding. Mathematics Teaching in the Middle School, 12(2), 88–95.

Stylianides, A. J., & Stylianides, G. J. (2007). Learning mathematics with understanding: A critical consideration of the learning principle in the principles and standards for school mathematics. The Mathematics Enthusiast, 4(1), 103–114.

Suherman, E. (2003). Strategi pembelajaran matematika kontemporer. Bandung: Jica.

Surya, E., & Syahputra, E. (2017). Improving High-Level Thinking Skills by Development of Learning PBL Approach on the Learning Mathematics for Senior High School Students. International Education Studies, 10(8), 12–20.

Widjajanti, D. B. (2009). Kemampuan pemecahan masalah matematis mahasiswa calon guru matematika: apa dan bagaimana mengembangkannya. In Seminar Nasional Matematika dan Pendidikan Matematika (Vol. 5).



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