Exploration of Student Algebraic Thinking In Terms Of Implusive Reflective Cognitive Style
Abstract
Algebra is the part of mathematics that helps represent problems. Learning algebra is crucial since it has numerous applications outside of mathematics and in daily life. The subject of algebra is one that students need to master. The purpose of this study was to reveal the ability of algebra students' thinking profiles in solving math problems in terms of cognitive style reflective and impulsive. The subjects of this study were 32 students at a university in Surakarta. The method used in this study is a qualitative method with a case study approach. The instruments in this study were the MFFT test (Matching Familiar Figure Test), algebraic tests, and interviews. The results showed that 1) Students who have a reflective cognitive style and students who have an impulsive cognitive style can fulfill two indicators of algebraic thinking, namely functional thinking, generalization, and justification. 2) Students who have a reflective cognitive style are more systematic in working on problems. Meanwhile, students who have an impulsive cognitive style are more likely to write only the final result.
Keywords: algebra thinking, cognitive, reflective-impulsive
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References
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Kusumaningsih, Widya, and Tatang Herman. (2018). “improvement algebraic thinking ability using multiple representation strategy on realistic.” 9(2): 281–90.
Kusumaningsih, Widya, Pran Yudi Setiawan, and Rizky Esti Utami. (2018). “Profil Berpikir Aljabar Siswa Smp Dalam Pemecahan Masalah Matematis Ditinjau Dari Gaya Kognitif Dan Gender.” JIPMat 5(1).
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Ntsohi, Mamosa M. E. (2013). “Investigating Teaching and Learning of Grade 9 Algebra Through Excel Spreadsheets: A Mixed-Methods Case Study for Lesotho.” (December): 279.
OECD. 2012. “PISA (2012) Released Mathematics Items.” PISSA: 1–92.
Oh, Eunjoo, and Doohun Lim. (2005). “Cross Relationships between Cognitive Styles and Learner Variables in Online Learning Environment.” Journal of Interactive Online Learning 4(1): 53–66.
Phonapichat, Prathana, Suwimon Wongwanich, and Siridej Sujiva. (2014). “An Analysis of Elementary School Students ’ Difficulties in Mathematical Problem Solving.” Procedia - Social and Behavioral Sciences 116(2012): 3169–74.
Prayitno, Anggar et al. (2022). “The Analysis of Student’s Algebraic Reasoning Abilities in Reflective and Impulsive Cognitive Styles.” (2018).
Ralston, N C. (2013). “The Development and Validation Og a Diagnostic of Algebraic Thingking Skills.”
Riding, Richard, and Indra Cheema. (1991). “Educational Psychology?: An International Journal of Experimental Cognitive Styles — an Overview and Integration.” Educational Psychology: An International Journal of Experimental Educational Psychology 11(3–4): 37–41.
Rozencwajg, Paulette. (2015). “Cognitive Processes in the Reflective- Impulsive Cognitive Style Cognitive Processes in the Reflective – Impulsive Cognitive Style.” The Journal of Genetic Psychology 166(4): 451–63.
Warli. (2010). “Kreativitas Siswa SMP Yang Bergaya Kognitif Reflektif Atau Impulsif Dalam Memecahkan Masalah Geometri.” Jurnal Pendidikan dan Pembelajaran 20(2): 190–210.
Azmi S, Baidowi, Hikmah N, Tyaningsih R Y, Kurniawan E. (2022).” analysis of students’ mathematics communication ability based on cognitive styles and mathematical knowledge 17(2): 231–38.
Kobandaha, Putri Ekawaty, Yusuf Fuad, and Masriyah Masriyah. (2019). “Algebraic Reasoning of Students with Logical-Mathematical Intelligence and Visual-Spatial Intelligence in Solving Algebraic Problems.” International Journal of Trends in Mathematics Education Research 2(4): 207–11.
Kusumaningsih, Widya, and Tatang Herman. (2018). “Improvement algebraic thinking ability using multiple representation strategy on realistic.” 9(2): 281–90.
Maudy, S Y et al. (2018). “Gender Differences in Algebraic Thinking Ability to Solve Mathematics Problems Gender Differences in Algebraic Thinking Ability to Solve Mathematics Problems.”
Ningsih, Dian Agustin, and Imas Cintamulya. (2018). “Analisis Berpikir Kritis Siswa Berbasis Gaya Kognitif Melalui Model Pembelajaran Problem Based Learning ( PBL ) Dengan Menggunakan Media Roda Keberuntungan Di SMP Muhamammadiyah 15 Sedayulawas Analysis of Critical Thinking Student Based on Cognitive Style.” 15: 90–96.
Rahayu, Yuli Aulia, and Widodo Winarso. (2018). “Critical Thinking of Students in Solving Mathematics Judging from the Differences in Types of Reflective and Impulsive Cognitive Styles.” Jurnal Imiah Pendidikan dan Pembelajaran 2(1): 1–11.
Satriawan, M. A., M. T. Budiarto, and T. Y.E. Siswono. 2018. “Students’ Relational Thinking of Impulsive and Reflective in Solving Mathematical Problem.” Journal of Physics: Conference Series 947(1).
Blanton, Maria L., and James J. Kaput. 2011. “Functional Thinking as a Route Into Algebra in the Elementary Grades.” : 5–23.
Booker, George, and Will Windsor. 2010a. “Developing Algebraic Thinking: Using Problem-Solving to Build from Number and Geometry in the Primary School to the Ideas That Underpin Algebra in High School and Beyond.” In Procedia - Social and Behavioral Sciences, Elsevier Ltd, 411–19.
Dindyal, Jaguthsing. (2011). “Algebraic Thinking in Geometry at High School Level: Students’ Use of Variables and Unknowns.” National Institute of Education 27(21): 183–90.
Firestone, Philip, and Virginia Douglas. (1977). “The Effects of Verbal and Material Rewards and Punishers on the Performance of Impulsive and Reflective Children.” Child Study Journal.
Foster, David. (2007). “Chapter 12 Making Meaning in Algebra Examining Students ’ Understandings and.” Assessing Mathematical Proficiency, MSRI Publications 53: 163–76.
Harti, Laela Sih, and Arief Agoestanto. (2019). “Analysis of Algebraic Thinking Ability Viewed from the Mathematical Critical Thinking Ablity of Junior High School Students on Problem Based Learning.” 8(2): 119–27.
Kaput, James J, and María Blanton. (2005). “Characterizing a Classroom Practice That Promotes Algebraic Reasoning.” Journal for research in mathematics education 36(5): 412.
Kieran, Carolyn. (2004). 8 The Mathematics Educator Algebraic Thinking in the Early Grades: What Is It? 1.
Kogan, Nathan. (1973). Life-Span Developmental Psychology Creativity and Cognitive Style: A Life-Span Perspective. ACADEMIC PRESS, INC.
Kriegler, By Shelley. (2011). “just what is algebraic thinking??” : 1–11.
Kusumaningsih, Widya, and Tatang Herman. (2018). “improvement algebraic thinking ability using multiple representation strategy on realistic.” 9(2): 281–90.
Kusumaningsih, Widya, Pran Yudi Setiawan, and Rizky Esti Utami. (2018). “Profil Berpikir Aljabar Siswa Smp Dalam Pemecahan Masalah Matematis Ditinjau Dari Gaya Kognitif Dan Gender.” JIPMat 5(1).
Lew, Hee-Chan. (2004). “Developing Algebraic Thinking in Early Grades: Case Study of Korean Elementary School Mathematics 1.” The Mathematics Educator 8(1): 88–106.
Maharani, p., trapsilasiwi, d., yudianto, e., & sugiarti, t. (2018). Profil berpikir aljabar siswa smp dalam menyelesaikan masalah matematika ditinjau dari gaya kognitif (reflektif dan impulsif). Http://jurnal.unej.ac.id/index.php/stf
Nahda cindy aprilia, sunardi, & dinawati trapsilasiwi. (2015). Thinking process of reflective and impulsive cognitive style’s student tosolving the mathematics problem in vii grade of smpn 11 jember.
Ntsohi, Mamosa M. E. (2013). “Investigating Teaching and Learning of Grade 9 Algebra Through Excel Spreadsheets: A Mixed-Methods Case Study for Lesotho.” (December): 279.
OECD. 2012. “PISA (2012) Released Mathematics Items.” PISSA: 1–92.
Oh, Eunjoo, and Doohun Lim. (2005). “Cross Relationships between Cognitive Styles and Learner Variables in Online Learning Environment.” Journal of Interactive Online Learning 4(1): 53–66.
Phonapichat, Prathana, Suwimon Wongwanich, and Siridej Sujiva. (2014). “An Analysis of Elementary School Students ’ Difficulties in Mathematical Problem Solving.” Procedia - Social and Behavioral Sciences 116(2012): 3169–74.
Prayitno, Anggar et al. (2022). “The Analysis of Student’s Algebraic Reasoning Abilities in Reflective and Impulsive Cognitive Styles.” (2018).
Ralston, N C. (2013). “The Development and Validation Og a Diagnostic of Algebraic Thingking Skills.”
Riding, Richard, and Indra Cheema. (1991). “Educational Psychology?: An International Journal of Experimental Cognitive Styles — an Overview and Integration.” Educational Psychology: An International Journal of Experimental Educational Psychology 11(3–4): 37–41.
Rozencwajg, Paulette. (2015). “Cognitive Processes in the Reflective- Impulsive Cognitive Style Cognitive Processes in the Reflective – Impulsive Cognitive Style.” The Journal of Genetic Psychology 166(4): 451–63.
Warli. (2010). “Kreativitas Siswa SMP Yang Bergaya Kognitif Reflektif Atau Impulsif Dalam Memecahkan Masalah Geometri.” Jurnal Pendidikan dan Pembelajaran 20(2): 190–210.
Published
2023-07-16
How to Cite
NAJMA, Lughina A'yun Zahrotu; MASDUKI, Masduki.
Exploration of Student Algebraic Thinking In Terms Of Implusive Reflective Cognitive Style.
Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, [S.l.], v. 7, n. 2, p. 219 - 231, july 2023.
ISSN 2549-5070.
Available at: <https://e-journal.ivet.ac.id/index.php/matematika/article/view/2580>. Date accessed: 28 july 2025.
doi: https://doi.org/10.31331/medivesveteran.v7i2.2580.
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