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Analogical Reasoning in Solving Indirect Problem-Based Area Problems


Penalaran Analogi dalam Menyelesaikan Soal Luas Daerah Berbasis Masalah Tidak Langsung

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DOI:

https://doi.org/10.21070/ups.2937

Keywords:

Analogical reasoning, Indirect problem, Mathematical area-based problems

Abstract

This study aims to identify the stages of students' analogical reasoning in solving indirect problems. The type of research used is qualitative with a case study approach. The participants in this study were 25 fifth grade students of SDN Sidokepung 2, to select research subjects using purposive techniques that represent each category of analogy reasoning based on the analogy reasoning test. Data collection techniques used indirect problem tests and interviews. Data analysis techniques consisted of data reduction, data presentation, and data verification. The results showed that there were two categories of students' analogical reasoning when solving indirect problems, namely: (1) Indirect problem succeeded, students who successfully solve the source problem and target problem by using all stages of analogical reasoning namely representation and mathematical modeling, structuring, mapping, applying

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References

D. Gentner, “Structure-Mapping: A Theoretical Framework for Analogy,” Cogn. Sci., vol. 7, no. 2, pp. 155–170, 1982, doi: doi.org/10.1016/S0364-0213(83)80009-3.

R. Duit, “On the role of analogies and metaphors in learning science,” Sci. Educ., vol. 75, no. 6, pp. 649–672, 1991, doi: 10.1002/sce.3730750606.

D. Gentner, K. J. Holyoak, and B. N. Kokinov, “The Analogical Mind Perspectives from Cognitive Science,” 2001. doi: http://mitpress.mit.edu/9780262571395/.

K. J. Holyoak, J. E. Hummel, D. Gentner, K. Holyoak, and B. N. Kokinov, “Toward an Understanding of Analogy within a Biological Symbol System,” Analog. Mind, 2004, doi: 10.7551/mitpress/1251.003.0008.

I. Magdaş, “Analogical Reasoning in Geometry Education,” Acta Didact. Napocensia, vol. 8, no. 1, pp. 57–66, 2015.

D. F. P. Putri and Masriyah, “Profil Penalaran Analogi Siswa Dalam Pemecahan Masalah Matematika Ditinjau Dari Gaya Belajar,” MATHEdunesa, vol. 11, no. 1, pp. 134–144, 2022, doi: 10.26740/mathedunesa.v11n1.p134-144.

A. Fauzi, A. N. Rahmatih, D. Indraswati, and Husniati, “Penalaran analogi mahasiswa PGSD dalam menyelesaikan masalah matematika berdasarkan gaya berpikir A . Pendahuluan Kemampuan literasi matematika anak Indonesia berdasarkan uji PISA hanya mampu mencapai level 2 saja , masih jauh dari negara-negara lain yang,” Aksioma, J. Mat. dan Pendidik. Mat., vol. 11, no. 2, pp. 323–334, 2020.

R. Masfufah and E. A. Afriansyah, “Analisis Kemampuan Literasi Matematis Ditinjau Dari Gaya Belajar Siswa Smp Pada Pembelajaran Daring,” PERISAI J. Pendidik. dan Ris. Ilmu Sains, vol. 1, no. 1, pp. 1–13, 2022, doi: 10.32672/perisai.v1i1.52.

M. Mutia, K. Kartono, D. Dwijanto, and K. Wijayanti, “Peran Kemampuan Berpikir Kreatif Matematis dan Penalaran Analogi dalam Pembelajaran Matematika Guna Memenuhi Tuntutan Perkembangan Abad 21,” Pros. Semin. …, pp. 741–749, 2022.

A. Rahma et al., “Integrasi Ilmu Matematika Berupa Teori Peluang dan Konsep Agama Islam dalam Pembelajaran Matematika,” vol. 1, no. 2023, pp. 141–158, 2023, doi: https://doi.org/10.55606/religion.v1i1.56.

M. Fatra and L. M. Angraini, “Analogical reasoning ability of mathematics education students at six state islamic universities (UIN) in Indonesia,” JME (Journal Math. Educ., 2020.

D. Kurnia Putri, J. Sulianto, and M. Azizah, “Kemampuan Penalaran Matematis Ditinjau dari Kemampuan Pemecahan Masalah,” Int. J. Elem. Educ., vol. 3, no. 3, p. 351, 2019, doi: 10.23887/ijee.v3i3.19497.

D. Nurrochmatunnisa, “Pengaruh Kecerdasan Numerik Dan Kemandirian Belajar Terhadap Kemampuan Pemecahan Masalah Matematik: the Effect of …,” Abacus, no. 1, pp. 12–24, 2020.

B. Utomo, “Numerical study on an area of regular polygon as a concept of limit approach for unit circle using line integrals with MS Excel,” J. Phys. Conf. Ser., vol. 1180, no. 1, 2019, doi: 10.1088/1742-6596/1180/1/012010.

B. Utomo, “514 luas daerah dengan pendekatan titik berbantu python,” pp. 514–519, 2021.

K. Kristayulita and L. Sucipto, “Thinking Analogy in Solving Indirect Analogy Problems based on Information Processing Theory,” Prism. Sains J. Pengkaj. Ilmu dan Pembelajaran Mat. dan IPA IKIP Mataram, vol. 10, no. 1, p. 93, 2022, doi: 10.33394/j-ps.v10i1.4574.

K. Kristayulita, T. Nusantara, A. R. As’ari, and C. Sa’dijah, “Tahapan Penalaran Analogi dalam Menyelesaikan Masalah Analogi Indirect,” Pros. Semin. Nas. Integr. Mat. dan Nilai Islam., vol. 3, no. 1, pp. 437–443, 2019.

I. G. N. Santika and I. N. Sudiana, “Insersi Pendidikan Karakter Melalui Pembelajaran Bahasa Indonesia Ditinjau dari Perspektif Teoretis,” J. Pendidik. Bhs. dan Sastra Indones. Undiksha, vol. 11, no. 4, p. 464, 2021, doi: 10.23887/jjpbs.v11i4.42052.

R. Ratnaningsih, D. A. Nugraha, and S. R. Muslim, “Analisis Kemampuan Penalaran Analogi Matematis Peserta Didik Berdasarkan Gender Perempuan,” J. Kongruen, vol. 1, no. 1, pp. 43–47, 2022.

K. Kristayulita, T. Nusantara, A. R. As’Ari, and C. Sa’Dijah, “Identification of Students Errors in Solving Indirect Analogical Problems Based on Analogical Reasoning Components,” J. Phys. Conf. Ser., vol. 1028, no. 1, 2018, doi: 10.1088/1742-6596/1028/1/012154.

K. Kristayulita, “Indirect Analogical Reasoning Components,” Malikussaleh J. Math. Learn., vol. 4, no. 1, p. 13, 2021, doi: 10.29103/mjml.v4i1.2939.

J. W. Creswell, EDITION.

M. Ruppert, Ways of Analogical Reasoning – Thought Processes in an Example Based Learning Environment. 2013.

D. Clarke and A. Roche, “Using contextualized tasks to engage students in meaningful and worthwhile mathematics learning,” J. Math. Behav., vol. 51, no. November 2016, pp. 95–108, 2018, doi: 10.1016/j.jmathb.2017.11.006.

R. Pratitisari, “Penerapan Strategi Relating, Experiencing, Applying, Cooperating, Dan Transferring Untuk Meningkatkan Kesadaran Politik Dan Motivasi Siswa Kelas 11 Bahasa Dan Sastra Indonesia Sma Global Jaya [the Application of Relating, Experiencing, Applying, Cooperati,” J. Teropong Pendidik., vol. 1, no. 1, p. 50, 2021, doi: 10.19166/jtp.v1i1.3126.

Posted

2023-08-29