PSEUDO ABSTRAKSI REFLEKTIF DALAM MENYELESAIKAN MASALAH BARISAN BILANGAN

Penulis

  • Surya Sari Faradiba (Scopus ID: 57209449820), Doktor Pendidikan Matematika, Universitas Islam Malang, Indonesia http://orcid.org/0000-0002-3055-6240
  • Anies Fuady Universitas Islam Malang, Indonesia
  • Desy Nofita Sari Universitas Islam Malang, Indonesia

DOI:

https://doi.org/10.31100/histogram.v4i2.685

Kata Kunci:

reflective abstraction, interiorization, coordination, reversal, encapsulation

Abstrak

This research is a descriptive study. The research objective was to describe the reflective abstraction process experienced by students. The research subject was a class VIII student. The sampling technique used was purposive sampling. The subjects were chosen because they considered their communication skills which were quite good compared to their peers, making it easier for researchers to explore data. In addition, the selected subjects were students with very satisfying academic achievements compared to their classmates. This study examines and explains the reflective abstraction that the subject does in solving the number sequence problem. The focus of research is the process of reflective abstraction which includes interiorization, coordination, reversal, encapsulation, and generalization. The results showed that the reflective abstraction stage did not guarantee arriving at the correct solution. In this study the subject performs all stages of reflective abstraction starting from interiorization, coordination, reversal, encapsulation, and generalization, but the final solution is wrong. This phenomenon is said to be pseudo-reflective abstraction or pseudo-reflective abstraction.

Biografi Penulis

Surya Sari Faradiba, (Scopus ID: 57209449820), Doktor Pendidikan Matematika, Universitas Islam Malang

Academic Profile :

Google Scholar: https://scholar.google.com/citations?hl=en&user=ssCheK0AAAAJ

Sinta Author Profile : http://sinta.ristekbrin.go.id/authors/detail/?id=6157499&view=overview

Referensi

Afgani, M, W., Suryadi, D., Dahlan, J, A. (2017). Analysis of Undergraduate Students’ Mathematical Understanding Ability of the Limit of Function Based on APOS Theory Perspective. IOP: Journal of Physics: Conference Series. 895-012056, 1-7.

Dubinsky, Ed. (2002). Reflective Abstraction in Advanced Mathematical Thinking,

in Advanced Mathematical Thinking, Tall, David (ed), pp.95-123, Kluwer

Academic Publisher

Fuady, Anies, dkk. (2018). Abstraksi Reflektif Siswa Dalam Memecahkan Masalah Matematika Berdasarkan Gaya Kognitif. Seminar Nasional Pendidikan Matematika Ahmad Dahlan 2018. ISSN: 2407-7496. Hal: 464-471.

Goedecke, J. (2013). Abstraction in Mathematics. Queen’s College.

Maharaj, A. (2014). An APOS Analysis of Natural Science Students’ Understanding of Integration. REDIMAT. Vol: 3 (1): 54-73.

Miles, B. Mathew dan Michael Huberman. (1992). Analisis Data Kualitatif Buku Sumber Tentang Metode-metode Baru. Jakarta: UIP.

Nardi, E. (2017). From Advanced Mathematical Thinking to University Mathematics Education: A Story of Emancipation and Enrichment. CERME 10, 8-31.

Nisa, LC., Waluya, SB., Kartono., Mariani, S. (2020). Implementation of APOS Theory to Encourage Reflective Abstraction on Riemann Sum. Journal of Physics: Conference Series. 1567-032014, 1-5.

Panasuk, R.M. (2011). Taxnomy for Assesing Conceptual Understanding in Algebra Using Multiple Representation. College Student Journal. Volume 45 (2): 219-232.

Panjaitan, B. 2018. The Reflective Abstraction Profile of Junior High School Student In Solving Mathematical Problems Based on Cognitive Style of Field Independent And Field Dependent. Journal of Physics: Conference Series.

Simon, Martin A., Tzur, Ron., Heinz, Karen., & Kinzel, Margaret. (2004). Explicating A Mechanism for Conceptual Learning: Elaborating The Construct of Reflective Abstraction. Journal for Research in Mathematics Education 35 (5), 305-329.

Thomas, M.O.J., de Freitas, Druck, I., Huillet, D., Ju, Mi-Kyung., Nardi, E., Rasmussen, C., Xie, J. (Ed). (2015). The Proceedings of the 12th International Congress on Mathematical Education. Seoul, Korea: Springer Open.

Warsito. Saleh, Hairul. (2019). Analisis Abstraksi Matematis Melalui Tematisasi Progresif Dengan Pembelajaran Matematika Realistik Pada Pembelajaran Geometri. Seminar Nasional Penelitian Pendidikan Matematika, 198-206.

Unduhan

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Diterbitkan

2021-01-03

Terbitan

Vol 4 No 2 (2020): Histogram

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