Decompose The Cognitive Mapping of The PISA Question’s Problem Solving Thinking Structure

Buhaerah Buhaerah(1,Mail), Prayogo Prayogo(2), Muhammad Ahsanul Haq(3), Wahab Wahab(4) | CountryCountry:


(1) Institut Agama Islam Negeri Parepare, Indonesia
(2) Universitas PGRI Adi Buana Surabaya, Indonesia
(3) National College of Arts, Lahore, Pakistan
(4) Institut Agama Islam Negeri Parepare, Indonesia

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DOI 10.23960/jpmipa/v24i3.pp603-626
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Copyright (c) 2023 Buhaerah Buhaerah, Prayogo Prayogo, Muhammad Ahsanul Haq, Wahab Wahab


Abstract: The mistake in problem-solving indicates the presence of the cognitive structure parts, which are problematic. One of the causes is thinking structures that need to be better organized and connected or experience cognitive mistakes. This study aims to describe students' thinking structure mistakes in solving PISA questions and the efforts to correct these mistakes through defragmenting thinking structures. This study uses a qualitative approach. This study uses a qualitative approach, including data reduction, presentation, and conclusion. Based on the results of the study, the mistakes of the students' thinking structures in problem-solving to finish the PISA questions were experienced by all subjects, including students misunderstanding the problem, mistakes in devising a finishing plan, carrying out a finishing plan, and rechecking process. These mistakes are influenced by several reasons, including the need for literacy skills in reading the meaning of the questions, not focusing on essential instructions on the questions, mastery of understanding the concept of prerequisite material, mistakes in operating, and the structured and analysis errors. The defragmenting process is carried out to correct students' thinking structure mistakes in problem-solving through intervention processes including scaffolding-review, scaffolding-restructuring, scaffolding-explaining, cognitive conflict, and dis-equilibration.

 

Keywords: defragmenting, problem, question, structure, solving, thinking

 

Abstrak: Kesalahan dalam pemecahan masalah menunjukkan adanya bagian-bagian struktur kognitif yang bermasalah. Salah satu penyebabnya adalah struktur berpikir yang perlu ditata dan terhubung dengan baik atau mengalami kesalahan berpikir. Penelitian ini bertujuan untuk mendeskripsikan kesalahan struktur berpikir siswa dalam menyelesaikan soal PISA dan upaya memperbaiki kesalahan tersebut melalui defragmentasi struktur berpikir. Penelitian ini menggunakan pendekatan kualitatif. Adapun pendekatan kualitatif yang meliputi reduksi data, penyajian, dan penarikan kesimpulan. Berdasarkan hasil penelitian, kesalahan struktur berpikir siswa dalam pemecahan masalah hingga menyelesaikan soal PISA dialami oleh semua mata pelajaran, antara lain siswa salah memahami soal, kesalahan menyusun rencana penyelesaian, melaksanakan rencana penyelesaian, dan proses pengecekan ulang. Kesalahan tersebut dipengaruhi oleh beberapa hal, antara lain perlunya kemampuan literasi dalam membaca makna soal, tidak fokus pada petunjuk esensial soal, penguasaan pemahaman konsep materi prasyarat, kesalahan pengoperasian, serta kesalahan terstruktur dan analisis. Proses defragmenting dilakukan untuk memperbaiki kesalahan struktur berpikir siswa dalam pemecahan masalah melalui proses intervensi meliputi scaffolding-review, scaffolding-restructuring, scaffolding-explaining, kognitif konflik, dan dis-equilibration.

 

Kata kunci: defragmentasi, masalah, pertanyaan, struktur, pemecahan, pemikiran



DOI: http://dx.doi.org/10.23960/jpmipa/v24i3.pp603-626

Andriani, S. P., Triyanto, T., & Nurhasanah, F. (2021). Defragmentation thinking structure to overcome errors in addressing mathematical problem. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(1), 339-350.

Anggraini, D., Kusmayadi, T. A., & Pramudya, I. (2018, April). The characteristics of failure among students who experienced pseudo thinking. In Journal of Physics: Conference Series (Vol. 1008, No. 1, p. 012061). IOP Publishing.

Bernard, M., & Setiawan, W. (2020, April). Development of geometry analysis using geogebra scripting in terms of student cognitive capabilities. In Journal of Physics: Conference Series (Vol. 1521, No. 3, p. 032103). IOP Publishing.

Acosta Corporan, R., Hernández Martín, A., & Martín García, A. V. (2021). Satisfacción del profesorado y alumnado con el empleo de Metodologías de Aprendizaje Colaborativo mediada por las TIC: Dos estudios de casos. Estudios pedagógicos (Valdivia), 47(2), 79-97.

Di, F. (2021). The metaphorical interpretation of english and chinese body-part idioms based on relevance theory. Journal of Language Teaching and Research, 12(5), 837-843.

Zubaeda, E. (2020). Defragmenting struktur berpikir siswa dalam mengonstruksi konsep matematika pada materi aljabar (doctoral dissertation, iain ambon).

Feng, S., Zhou, H., & Dong, H. (2021). Application of deep transfer learning to predicting crystal structures of inorganic substances. Computational Materials Science, 195, 110476.

Fleurence, A., Lee, C. C., Friedlein, R., Fukaya, Y., Yoshimoto, S., Mukai, K., ... & Yamada-Takamura, Y. (2020). Emergence of nearly flat bands through a kagome lattice embedded in an epitaxial two-dimensional Ge layer with a bitriangular structure. Physical Review B, 102(20), 201102.

Green, B., & Zwiebel, J. (2018). The hot-hand fallacy: Cognitive mistakes or equilibrium adjustments? Evidence from major league baseball. Management Science, 64(11), 5315-5348.

Hadiat, H. L., & Karyati, K. (2019). Hubungan kemampuan koneksi matematika, rasa ingin tahu dan self-efficacy dengan kemampuan penalaran matematika. Jurnal Riset Pendidikan Matematika, 6(2), 200-210.

Haryanti, S. (2018). Pemecahan Masalah Matematika melalui Metode Defragmenting. JKPM (Jurnal Kajian Pendidikan Matematika), 3(2), 199-204.

Irhamna, I., Amry, Z., & Syahputra, H. (2020). Contribution of mathematical anxiety, learning motivation and self-confidence to student’s mathematical problem solving. Budapest International Research and Critics in Linguistics and Education (BirLE) Journal, 3(4), 1759-1772.

Cázares Balderas, M. D. J., Páez, D. A., & Pérez Martínez, M. G. (2020). Theoretical discussion on teaching practices as mediators in the development of metacognitive strategies for solving mathematical tasks. Educación matemática, 32(1), 221-240.

Belecina, R. R., & Ocampo Jr, J. M. (2018). Effecting change on students’ critical thinking in problem solving. Educare, 10(2).

Katrancı, Y., & Şengül, S. (2020). The evaluation of inquiry learning skills towards math of middle school students in terms of inquiring, evaluating, reasoning, and reflective-thinking skills for problem-solving. Egitim ve Bilim, 45(201).

Kiger, M. E., Bautista, E., Bertagnoli, T. M., Hammond, C. E., Meyer, H. S., Varpio, L., & Dong, T. (2021). Defragmenting the Day: The Effect of Full-Day Continuity Clinics on Continuity of Care and Perceptions of Clinic. Teaching and Learning in Medicine, 33(5), 546-553.

Belland, B. R., Axelrod, D., & Kim, N. J. (2018). Scaffolding for optimal challenge in k-12 problem-based learning. Interdisciplinary Journal of Problem-Based Learning, 13(1).

Kristanto, B. P., & Yunianta, T. N. H. (2021). Development of Media Evaluation of Mathematics Learning Based Applications Quizizz with Problems PISA Content Quantity. Edumatica: Jurnal Pendidikan Matematika, 11(02), 64-72.

Kumalasari, F., Nusantara, T., & Sa'dijah, C. (2016). Defragmenting struktur berpikir siswa dalam menyelesaikan masalah pertidaksamaan eksponen. Jurnal pendidikan: Teori, Penelitian, dan pengembangan, 1(2), 246-255.

Kurniati, D., Harimukti, R., & Jamil, N. A. (2016). Kemampuan berpikir tingkat tinggi siswa SMP di Kabupaten Jember dalam menyelesaikan soal berstandar PISA. Jurnal Penelitian dan Evaluasi Pendidikan, 20(2), 142-155.

NCTM. 2000. Principles and Standards for School Mathematics. Vol. 47.

Nurdin, N., Samad, I. S., & Sardia, S. (2020). Logical reasoning analysis based on hippocrates personality types. Aksioma, 9(2), 57-73.

OECD. 2019. “Programme for International Student Assessment (PISA) Results from PISA 2018.” Oecd, 1–10.

Özcan, Z. Ç., & Doğan, H. (2018). A longitudinal study of early math skills, reading comprehension and mathematical problem solving. Pegem Egitim ve Ogretim Dergisi= Pegem Journal of Education and Instruction, 8(1), 1.

Pradana, D. A. Y., & Murtiyasa, B. (2020). Kemampuan siswa menyelesaikan masalah berbentuk soal cerita sistem persamaan linear ditinjau dari kemampuan penalaran. Pythagoras: Jurnal Matematika dan Pendidikan Matematika, 15(2), 151-164.

Pranitasari, D., & Ratu, N. (2020). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Matematika Pisa Pada Konten Change and Relationship. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 1235-1248.

Pratiwi, I. C., Inganah, S., & Putri, O. R. U. (2020). Analysis on written mathematical communication skills at system of linear equations in two variables (SLETV) material viewed from student learning styles. Mathematics Education Journal, 3(2), 119.

Prayitno, A. (2018). Characteristics of Students’ Critical Thinking In Solving Mathematics Problem. The Online Journal of New Horizons in Education, 8(1), 46-55.

Roe, A., Blikstad-Balas, M., & Dalland, C. P. (2021). The impact of COVID-19 and homeschooling on students' engagement with physical activity. Frontiers in sports and active living, 2, 589227.

Saad, A. (2020). Students’ computational thinking skill through cooperative learning based on hands-on, inquiry-based, and student-centric learning approaches. Universal Journal of Educational Research, 8(1), 290-296.

Subanji. 2016. “Teori defragmentasi strukttur berpikir.” (February).

Sulistyo, L., Sukestiyarno, Y. L., & Mastur, Z. (2021). Overview of geometric reasoning ability of sixth-grade students in solving flat plane geometric problems at the integrated islamic elementary school al-mawaddah semarang in Indonesia. Journal of Southwest Jiaotong University, 56(4).

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.

Teresa, H., Zubaidah, Z., & Nursangaji, A. (2020). Kemampuan Menyelesaikan Soal Pisa Pada Konten Change and Relationship. Jurnal AlphaEuclidEdu, 1(2), 60-68.

Tohir, M., Maswar, M., Atikurrahman, M., Saiful, S., & Pradita, D. A. R. (2020). Prospective Teachers' Expectations of Students' Mathematical Thinking Processes in Solving Problems. European Journal of Educational Research, 9(4), 1735-1748.

Utami, R. W., & Wutsqa, D. U. (2017). Analisis kemampuan pemecahan masalah matematika dan self-efficacy siswa SMP negeri di Kabupaten Ciamis. Jurnal Riset Pendidikan Matematika, 4(2), 166-175.

Wang, B., Hu, X., Li, P., & Philip, S. Y. (2021). Cognitive structure learning model for hierarchical multi-label text classification. Knowledge-Based Systems, 218, 106876.

Wuryanto, A. (2020). Learning translation and multi-culture to reduce social conflict. Social Sciences, Humanities and Education Journal (SHE Journal), 1(1), 26-31.

Yang, H. (2017). A research on the effective questioning strategies in class. Science Journal of education, 5(4), 158-163.


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