EXPLORING STUDENT ALGEBRAIC THINKING IN SOLVING MATH PROBLEMS IN TERMS OF KOLB'S LEARNING STYLE
Abstract
Algebraic thinking plays an important role in solving problems, especially related to algebra. This study aims to explore the students’ algebraic thinking profile in solving problems in terms of the stages of Kolb learning style. This type of research is qualitative with a case study approach. The subjects of the study were 54 students of grade VIII at one of the private secondary schools in Surakarta, Central Java. The research instruments used include algebraic thinking test questions, KLSI (Kolb Learning Style Inventory) questionnaires, and interview guidelines. The data was analyzed by reducing data, presenting data, and drawing conclusions. The finding showed that all subjects have met the algebraic thinking indicators on the generalization component. The subjects are able to recognize the pattern and use the discovered pattern to determine the next pattern. The subjects have also the ability to solve the problem using a simplification strategy. The finding also showed the CE stage learning style tends to use their experience about the prior knowledge had learned to solve the problem. Meanwhile, the AE, AC, and RO stage learning styles tend to use their logic by utilizing the information on the problem to solve the problem. Thus, it can be concluded that the different stage learning styles affect the different strategies in solving generalization problems
Downloads
References
Alghtani, O. A., & Abdulhamied, N. A. (2010). The effectiveness of geometric representative approach in developing algebraic thinking of fourth grade students. Procedia - Social and Behavioral Sciences, 8(5), 256–263. https://doi.org/10.1016/j.sbspro.2010.12.035
Amerom, B. A. Van. (2002). Reinvention of early algebra. In Developmental research on the transition from arithmetic to algebra.
Andayani, M., & Amir, Z. (2019). Building Student Self-Confidence through Mathematics Learning. Decimal: Journal of Mathematics, 2(2), 147–153. https://doi.org/10.24042/djm.v2i2.4279
Andriani, P. (2015). Algebraic reasoning in mathematics learning. Beta - Scandinavian Journal of Business Research, 8(1), 1–13.
Aryani, F., Amin, S. M., & Sulaiman, R. (2018). Students' Algebraic Reasonsing in Solving Mathematical Problems with Adversity Quotient. Journal of Physics: Conference Series, 947(1). https://doi.org/10.1088/1742-6596/947/1/012044
Badger, M. S., Sangwin, C. J., Hawkes, T. O., Mason, J., & Pope, S. (2012). Teaching Problem-solving in Undergraduate Mathematics. Conventry University UK.
Booker, G. (2009). Algebraic Thinking: Generalizing Number and Geometry to Express Patterns and Properties Succinctly. Griffith University: Mathematical of Prime Importance, 10–21.
Eyyam, R., Menevis, İ., Dogruer, N., & Cyprus, N. (2011). An investigation of the learning styles of prospective educators. TOJNED : The Online Journal Of New Horizons In Education, 1(3).
Febriansyah, R., Yusmin, E., & Nursangaji, A. (2016). Analysis of students' difficulties in understanding the material of two-variable linear equations in grade x high school. Journal of Education and Learning, 2(3), 6–8. https://doi.org/http://dx.doi.org/10.26418/jppk.v3i2.4453
Furqon, S., Siswanah, E., & Tsani, D. F. (2021). Mathematical Literacy Ability of Class IX Students based on Learning Styles according to David Kolb. Edumatica : Journal of Mathematics Education, 11(01), 12–27. https://doi.org/10.22437/edumatica.v11i01.11438
Handayani, E., & Ratnaningsih, N. (2019). The mathematical reasoning ability of students is reviewed from Kolb's learning style. Proceedings of the National Seminar & Call For Papers Master of Mathematics Education Study Program. Tasikmalaya: Siliwangi University, 161–167.
Harti, L. S., & Agoestanto, A. (2019). Analysis of algebraic thinking ability viewed from the mathematical critical thinking ablity of junior high school students on problem based learning. Unnes Journal of Mathematics Education, 8(2), 119–127. https://doi.org/10.15294/ujme.v8i2.32060
Idkhan, A. M., & Idris, M. M. (2021). Dimensions of Students Learning Styles at The University with The Kolb Learning Model. International Journal of Environment, Engineering and Education, 3(2), 75–82. https://doi.org/10.55151/ijeedu.v3i2.60
Indahsari, A. T., & Fitrianna, A. Y. (2019). Analysis of the problem-solving ability of grade x students in solving spldv. 2(2), 77–86. https://doi.org/http://dx.doi.org/10.22460/jpmi.v2i2.p77-86
Inganah, S. (2016). Characteristics of algebraic thinking students at the multi-structural level in generalizing patterns. Public perception of orthodontic treatment by non-professionals, 53(9), 1689–1699.
Kieran, C. (2004). Algebraic Thinking in the Early Grades : What Is It? Mathematics Educator, 8(1), 139–151.
Kolb, B. (1984). Functions of the frontal cortex of the rat: a comparative review. Brain Research, 320(1), 65–98. https://doi.org/https://doi.org/10.1016/0165-0173(84)90018-3
Kolb, D. (1985). Learning styles inventory. The Power of the 2 X2 Matrix, 267.
Kusumaningsih, W., Darhim, Herman, T., & Turmudi. (2018). Gender differences in algebraic thinking ability to solve mathematics problems. Journal of Physics: Conference Series, 1013(1). https://doi.org/10.1088/1742-6596/1013/1/012143
Lew, H.-C. (2004). Developing Algebraic Thinking in Early Grades: Case Study of Korean Elementary School Mathematics 1. The Mathematics Educator, 8(1), 88–106.
Ghufron, M. N & Risnawita, R, S. (2012). Learning Styles of Theoretic Studies. In Learning Styles of Theoretical Studies (Vol. 66, pp. 37–39).
Madyaratri, D. Y., Wardono, & Prasetyo, A. P. B. (2019). Students' Mathematical Literacy Skills in Problem Based Learning with Learning Style Review. Prism, Prosicing National Seminar on Mathematics, 2, 648–658. https://journal.unnes.ac.id/sju/index.php/prisma/article/view/29213
Manolis, C., Burns, D. J., Assudani, R., & Chinta, R. (2013). Assessing experiential learning styles: A methodological reconstruction and validation of the Kolb Learning Style Inventory. Learning and Individual Differences, 23(1), 44–52. https://doi.org/10.1016/j.lindif.2012.10.009
Martha, C. W. S., Maimunah, M., & Roza, Y. (2022). Problem solving ability of junior high school students in solving hots questions. Journal of Mathematics Education (JUPITEK), 5(2), 138–144. https://doi.org/https://doi.org/10.30598/jupitekvol5iss2pp138-144
Mulyati, T. (2016). Kemampuan Pemecahan Masalah Matematis Siswa Sekolah Dasar (Mathematical Problem Solving Ability of Elementary School Students). EDUHUMANIORA: Jurnal Pendidikan Dasar, 3(2), 1–2
Ntsohi, M. M. E. (2013). Investigating Teaching and Learning of Grade 9 Algebra Through Excel Spreadsheets: a Mixed-Methods Case Study for Lesotho. December, 279. https://scholar.sun.ac.za/handle/10019.1/85657
Nurhayati, D. M., Herman, T., & Suhendra, S. (2017). Analysis of Secondary School Students' Algebraic Thinking and Math-Talk Learning Community to Help Students Learn. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012054
Nurmawanti, I., & Sulandra, I. M. (2020). Exploring of Student's Algebraic Thinking Process Through Pattern Generalization using Similarity or Proximity Perception. Mosharafa: Journal of Mathematics Education, 9(2), 191–202. https://doi.org/10.31980/mosharafa.v9i2.603
Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An Analysis of Elementary School Students' Difficulties in Mathematical Problem Solving. Procedia - Social and Behavioral Sciences, 116(2012), 3169–3174. https://doi.org/10.1016/j.sbspro.2014.01.728
Ratnaningsih, N., Hidayat, E., & Santika, S. (2019). Mathematical problem-solving skills of students based on the Kolb learning style through creative problem-solving learning. International Journal of Innovation, Creativity and Change, 9(1), 177–186.
Rofiqoh, Z., & Rochmad, A. W. K. (2016). Analysis of the problem-solving ability of grade X students in discovery learning based on student learning styles. Unnes Journal of Mathematics Education, 5(1), 24–32. https://doi.org/https://doi.org/10.15294/ujme.v5i1.9344
Rosita, N. T. (2018). Analysis of algebraic reasoning ability of cognitive style perspectives on field dependent field independent and gender. Journal of Physics: Conference Series, 983(1). https://doi.org/10.1088/1742-6596/983/1/012153
Tanta. (2010). The impact of learning style towards students, Study Achievement on the Subject of General Biology, of Bio. Creative Journal : Journal of Basic Education, 1(1), 7–21. https://doi.org/https://doi.org/10.15294/kreatif.v1i1.1666
TIMSS. (2013). Released mathematics items TIMSS 2011 8th-Grade Mathematics Concepts and Mathematics Items. International Association for the Evaluation of Educational Achievement (IEA), 1–124.
Usiskin, Z. (2020). Doing Algebra in Grades K-4. Teaching Children Mathematics, 3(6), 346–356. https://doi.org/10.5951/tcm.3.6.0346
Warren, E., Mollinson, A., & Oestrich, K. (2009). Equivalence and Equations in Early Years Classrooms. Apmc, 14(1), 10–15.
Wilujeng, H. (2017). Profile of Student Algebra Thinking Ability Based on Mathematical Preliminary Skills. International Journal of Research -GRANTHAALAYAH, 5(11), 210–216. https://doi.org/10.29121/granthaalayah.v5.i11.2017.2349
Windsor, W. (2010). Algebraic Thinking : A Problem Solving Approach. Proceedings of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia, 33, 665–672. https://research-repository.griffith.edu.au/bitstream/handle/10072/36557/67823_1.pdf?sequence=1&isAllowed=y
Copyright (c) 2023 Aisya Rosida, Masduki Masduki
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
License and Copyright Agreement
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal. Please also carefully read Jurnal Pendidikan Matematika (Jupitek) Posting Your Article Policy.
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
Copyright
Authors who publish with Jurnal Pendidikan Matematika (Jupitek) agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-NC-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
.png)
