STUDENTS’ CRITICAL THINKING AT INFORMAL DEDUCTION LEVEL IN PISA-LIKE PROBLEMS ON SPACE AND SHAPE CONTENT

Afifah Nur Aini; Alfina Nikmatuzzahro

doi:10.36085/mathumbedu.v12i2.7680

Authors

Afifah Nur Aini UIN Kiai Haji Achmad Siddiq Jember, Indonesia https://orcid.org/0000-0003-3664-0803
Alfina Nikmatuzzahro UIN Kiai Haji Achmad Siddiq Jember, Indonesia

DOI:

https://doi.org/10.36085/mathumbedu.v12i2.7680

Abstract

Critical thinking is a person's ability to recognize, analyze, and solve problems. Indicators of critical thinking are focus, reason, inference, situation, clarity, and overview. This study was conducted to determine the critical thinking ability of students with the Informal Deduction thinking level in solving PISA-like problems on the content of space and shape on the material of Circles. This research is a qualitative descriptive study with subjects of grade XI students of Madrasah Aliyah at Jember. The instruments used were the Van Hiele Geometry Test (VHGT), PISA-like problems, and interview guidelines. Data analysis included data reduction, data presentation, and conclusion. Data validity was carried out through triangulation of techniques and sources. In the initial stage, VHGT was carried out on 26 students to determine their level of thinking. Then 2 students were selected at the Informal Deduction Level who have high mathematical ability and good communication. Next, a test was carried out to determine their critical thinking abilities. The results of the data analysis showed that students with the informal deduction thinking level were able to focus, reason, inference, situation, clarity, and overview.

Keywords: Critical thinking, Van Hiele Thinking Level, PISA-like problem

References

Aini, A. N., Mukhlis, M., Annizar, A. M., Jakaria, M. H. D., & Septiadi, D. D. (2020). Creative thinking level of visual-spatial students on geometry HOTS problems. Journal of Physics: Conference Series, 1465(1), 012054. https://doi.org/10.1088/1742-6596/1465/1/012054

Amri, A. A. U., & Mustika, J. (2022). FRISCO Criteria: Analysis of Student’s Mathematic Critical Thinking Ability on HOTS Test. International Conference on Language, Linguistics, Literature and Education (ICLLLE), 205-219, Lampung: Universitas Teknokrat Indonesia

Annizar, A. M., Masrurotullaily, Jakaria, M. H. D., Mukhlis, M., & Apriyono, F. (2020). Problem solving analysis of rational inequality based on IDEAL model. Journal of Physics: Conference Series, 1465(1), 012033. https://doi.org/10.1088/1742-6596/1465/1/012033

Ennis, R. H. (1962.). A Concept of Critical Thinking a Proposed Basis for Research in the Teaching and Evaluation of Critical Thinking Ability. Harvard Educational Review, 32(1), 81-111.

Firmanti, P. Yuberta, F., Septiadi, D. D. & Nisa, N. R. (2024). Geometry ability in Senior High School Students: Based on Learning Style. Hipotenusa: Journal of Mathematical Society, 6(1), 88–100. https://doi.org/10.18326/hipotenusa.v6i1.1901

Fitriyani, H., Widodo, S. A., & Hendroanto, A. (2018). Students’ Geometric Thinking Based on Van Hiele’s Theory. Infinity Journal, 7(1), 55-60. https://doi.org/10.22460/infinity.v7i1.p55-60

Noviastuti, N. D., & Aini, A. N. (2024). Pengaruh Contextual Teaching and Learning Berbasis Budaya Suku Osing Terhadap Kemampuan Berpikir Kritis Siswa. Journal Of Mathematics Learning Innovation (JMLI), 3(2), 90–100. https://doi.org/10.35905/jmlipare.v3i2.10572

Pradana, G. B. & Nalim, N. (2024). The Effect of Mathematics Learning with the Creative Visualization Technique on the Geometry Ability Level of Students at SMP Islam Wonopringgo. AB-JME: Al-Bahjah Journal of Mathematics Education, 2(2), 100–109. https://doi.org/10.61553/abjme.v2i2.206

Pebruariska, A., & Fachrudin, A. D. (2018). Kemampuan Pemecahan Masalah Siswa Kelas VII pada Materi Segiempat ditinjau dari Tingkat Berpikir Geometri Van Hiele. AKSIOMA : Jurnal Matematika Dan Pendidikan Matematika, 9(1), 21-28. https://doi.org/10.26877/aks.v9i1.2461

Pujiastuti, H., & Haryadi, R. (2024). The Effectiveness of Using Augmented Reality on the Geometry Thinking Ability of Junior High School Students. Procedia Computer Science, 234, 1738–1745. https://doi.org/10.1016/j.procs.2024.03.180

Putri, I. S., & Aini, A. N., (2023). Analisis Kemampuan Berpikir Kritis Siswa dalam Menyelesaikan Soal HOTS Ditinjau Dari Keaktifan Pada Pembelajaran Cool-Critical-Creative-Meaningful. Math Educa Journal, 7(1), 1-10.

https://ejournal.uinib.ac.id/jurnal/index.php/matheduca/article/view/5855

Septiadi, D. D., Kholil, M., Masrurotullaily, Apriyono, F., & Aini, A. N. (2020). Design of PISA-liked problem which used jember fashion carnival context to train students’ analytical thinking. Journal of Physics: Conference Series, 1465(1), 1-13. https://doi.org/10.1088/1742-6596/1465/1/012072

Tao, S., & Fu, H. (2024). An Investigation into the Challenges and Strategies of Secondary Students’ Geometric Thought Processes through the Lens of Van Hiele’s Theory. Reviews, 6(6), 228-231. https://doi.org/10.12238/rerr.v6i6.2252

Usiskin, Z. (1982). Van Hiele Levels and Achievement in Secondary School Geometry CDASSG PROJECT. Chicago: The University of Chicago. https://files.eric.ed.gov/fulltext/ED220288.pdf

Wulandari, T. A., & Ishartono, N. (2022). Analisis Kemampuan Representasi Matematika Siswa SMA Dalam Menyelesaikan Soal Geometri Berdasarkan Level Berpikir Van Hiele. JNPM (Jurnal Nasional Pendidikan Matematika), 6(1), 97. https://doi.org/10.33603/jnpm.v6i1.5330

Zurriatinnisa, S. (2024). Kesulitan Siswa dalam Menyelesaikan Soal Setara PISA konten Shape and Space ditinjau Berdasarkan Level Tingkat Berpikir van Hiele. Syntax Literate; Jurnal Ilmiah Indonesia, 9(1), 100–110. https://doi.org/10.36418/syntax-literate.v9i1.14221