Identifikasi Gaya Berpikir Matematis Mahasiswa melalui Penyelesaian Permasalahan Higher-Order Thinking

Siti Khoiruli Ummah, Tri Rahayu Handayani


This research aimed to identify students' mathematical thinking style in mathematics education to resolve the higher-order thinking problem. The type of study was descriptive using qualitative data based on the vector analysis test. The vector analysis was identified by mathematical thinking style that divided into visual, analytic, and integration. This thinking style formed the qualitative data in the form of a description of the suitability of the student answer using indicators of any mathematical thinking styles. The subject whom students in the course of Vector Analysis Fourth Semester was interviewed after got mathematical thinking style data. The results showed that a lot of students has mathematical integration, that is, both visually and analytic. Students who have mathematical thinking style visually answered the question using a sketch of parallel vectors, perpendicular vectors, vector tangent, but they do not put the vector notation. Students who have analytical thinking styles differentiated vectors relationship using the verbal description of the appropriate definition that has been studied when they were in high school level. Students who have integrated mathematical thinking styles draw vectors using vector notation and explain verbally.


analytic mathematics thinking style; higher-order thinking; integrated mathematics thinking style; mathematics thinking style; visual mathematics thinking style

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Ali, dkk. (2014). The demarcation of cognitive and learning style: Myth or reality as an impediment in educational research. Journal of Psychological and Educational Research (JPER), 22.

Aljojo, N. (2017). Differences in styles of thinking ‘in light of sternberg's theory’: a case study of different educational level. Journal of Technology and Science Education, 7(3), 333–346.

Budsankom, P., dkk. (2015). Educational research and reviews - an analysis of the quality assurance policies in a ghanian university. Educational Research and Reviews, 10(19), 2639–2652.

Emamipour, S., et al. (2013). Developmental study of thinking styles in Iranian students university. Procedia - Social and Behavioral Sciences, 84(1997), 1736–1739.

Fatemi, M. (2016). Relationship between thinking styles and academic achievement of the Students. International Journal of Humanities and Cultural Studies, 2(4), 1353–1361.

Felder, R. M. (2011). Learning styles and teaching styles. 4(1), 73–77.

Ferri, R. B. (2012). Mathematical thinking styles and their influence on teaching and learning mathematics. 12th International Congress on Mathematics.

Ferri, R. B., & Blum, W. (2011). Are integrated thinkers better able to intervene adaptively? – a case study in a mathematical modelling environment.

Haryati, dkk. (2016). Gaya berpikir matematika siswa dalam penyelesaian soal cerita. Seminar Nasional Pendidikan Matematika 2016 1 Prosiding, 1–7.

Ibrahim & Ahmad, A. (2016). Teaching styles preferred by students on their achievement in history subject. IOSR Journal Of Humanities And Social Science (IOSR-JHSS), 21(6), 47–53.

Kusuma, dkk. (2017). The development of higher order thinking skill (HOTS) instrument assessment in physics study, 7(1), 26–32.

Liu, K. S., et al. (2016). Effects of digital teaching on the thinking styles and the transfer of learning of the students in department of interior design. Eurasia Journal of Mathematics, Science and Technology Education, 12(6), 1697–1706.

Onal, H., dkk. (2017). A research on mathematical thinking skills: mathematical thinking skills of athletes in individual and team sports. Journal of Education and Training Studies, 5(9), 133.

Ramlan, E. (2015). Konsep revisi taksonomi Bloom dan implementasinya pada pelajaran matematika SMP. Jurnal Ilmiah Pendidikan Matematika, 2(1), 72–78.

Rentzos, M. & Simpson, A. (2010). The thinking styles of university mathematics students. Acta Didactica Napocensia, 3(4), 1–10.

Risnanosanti. (2017). Mathematical thinking styles of undergraduate students and their achievement in mathematics. AIP Conference Proceedings, 1868.

Sharma. (2011). A study of learning-thinking style of secondary school students. International Journal on New Trends in Education and Their Implications, 2(4), 115–123.

Stier, K. (2009). A picture is worth a thousand words. Occupational Health & Safety (Waco, Tex.), 78(10), 16, 18.

Tajudin, M. N. & Chinnappan, M. (2017). Role of higher order thinking skills in enhancing mathematical problem solving. Man in India, 97.

Tanujaya, B., dkk. (2017). The relationship between higher order thinking skills and academic performance of student in mathematics instruction. International Education Studies, 10(11), 78.

Turki, J. (2012). Thinking styles "in light of sternberg’s theory" prevailing among the students of Tafila Technical University and its relationship with some variables educational psychology section. American International Journal of Contemporary Research, 2(3), 140–152.

Vale, I. & Barbosa, A. (2017). The importance of seeing in mathematics communication. Journal of the European Teacher Education Network, 12, 49–63.

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