Analysis of the Geometric Thinking Stage of Madrasah Tsanawiyah Students Based on Van Hiele's Theory

DOI:

https://doi.org/10.58421/misro.v1i2.21

Authors

  • Nasifah IAIN Syekh Nurjati Cirebon
  • Arif Muchyidin IAIN Syekh Nurjati Cirebon
  • Muhamad Ali Misri IAIN Syekh Nurjati Cirebon

Keywords:

van Hiele's theory, geometry, geometric thinking stage

Abstract

In the process of learning mathematics, especially geometry, teachers must pay attention to the level of ability possessed by students. Van Hiele suggests that there are five stages of thinking that students will go through in learning geometry: the visualization stage, the analysis stage, the informal deduction stage, the deduction stage, and the rigor stage. Each stage of thinking will be passed by students sequentially without passing any of the previous stages. This study aimed to identify and describe the geometric thinking stages of high school students. The first is based on van Hiele's theory. The research method used in this research is descriptive quantitative. This research was conducted at MTs (Madrasah Tsanawiyah) An-Nur, Cirebon City, with a population of 318 students and a sample of 72 students selected using a purposive sampling technique. The data collection technique used is in the form of a Van Hiele geometric thinking stage test with 25 multiple choice questions divided into five subtests. The results showed that 29.17% of students were in stage 1 (visualization), 25% of students were in stage 2 (analysis), and 6.94% of students were in stage 3 (informal deduction). There are still students who have not entered the van Hiele geometric thinking stage (at stage 0), namely 13.89%. As for the students who could not determine their van Hiele geometric thinking stage, as many as 25%. The highest stage achieved by students was stage 3 (informal deduction), so no student reached stage 4 (deduction) and stage 5 (rigor). In general, the geometric thinking stage of MTs (Madrasah Tsanawiyah) An-Nur students is at stage 1 of van Hiele's geometric thinking.

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References

S. Evi, “Pendekatan Matematika Realistik (PMR) untuk Meningkatkan Kemampuan Berfikir Siswa di Tingkat Sekolah Dasar,” J. Penelit. Pendidik., vol. Edisi Khus, no. 2, pp. 154–163, 2011.

D. a. Johnson and G. R. Rising, Guidelines for Teaching Mathematics, 2nd ed. California: Wadsworth Publishing Company, 1972.

E. Huzaifah, “Upaya Meningkatkan Pemahaman Konsep Geometri Siswa dengan Menggunakan Teori Van Hiele,” UIN Syarif Hidayatullah Jakarta, 2011.

P. L. Errick and M. C. Enny, “Analisis Kesalahan Siswa Kelas Viii I Smp N 1 Karanganyar Dalam Mengerjakan Soal Pada Pokok Bahasan Bangun Ruang Sisi Datar Serta Upaya Remediasinya Dengan Media Bantu Program Cabri 3D,” in Seminar Nasional Matematika dan Pendidikan Matematika: Kontribusi Pendidikan Matematika dan Matematika dalam Membangun Karakter Guru dan Siswa, 2012, no. November, pp. 1–10, [Online]. Available: http://eprints.uny.ac.id/8105/.

C. Coman, L. G. Țîru, L. Meseșan-Schmitz, C. Stanciu, and M. C. Bularca, “Online teaching and learning in higher education during the coronavirus pandemic: Students’ perspective,” Sustain., vol. 12, no. 24, pp. 1–22, 2020, doi: 10.3390/su122410367.

J. Dunlosky, K. A. Rawson, E. J. Marsh, M. J. Nathan, and D. T. Willingham, “Improving students’ learning with effective learning techniques: Promising directions from cognitive and educational psychology,” Psychol. Sci. Public Interes. Suppl., vol. 14, no. 1, pp. 4–58, 2013, doi: 10.1177/1529100612453266.

A. Patricia Aguilera-Hermida, “College students’ use and acceptance of emergency online learning due to COVID-19,” Int. J. Educ. Res. Open, vol. 1, p. 100011, 2020, doi: 10.1016/j.ijedro.2020.100011.

R. M. Felder and R. Brent, “Understanding student differences,” J. Eng. Educ., vol. 94, no. 1, pp. 57–72, 2005, doi: 10.1002/j.2168-9830.2005.tb00829.x.

H. P. Widodo, “Teaching Children Using Total physical Response Metho,” Bhs. Dan Seni, pp. 235–248, 2005.

M. Mason, The van Hiele Levels of Geometric Understanding. New York: McDougal Littell Inc., 1997.

A. S. Salifu, A.-R. Yakubu, and F. I. Ibrahim, “Van Hiele Geometric Thinking Levels of Pre-Service Teachers ’ of E . P . College of Education , Bimbilla-Ghana,” J. Educ. Pract., vol. 9, no. 23, pp. 108–119, 2018, [Online]. Available: https://iiste.org/Journals/index.php/JEP/article/view/44024.

I. Vojkuvkova, “The van Hiele Model of Geometric Thinking,” WDS’12 Proc. Contrib. Pap., vol. 1, pp. 72–75, 2012.

I. Perasutiyo, A. Muchyidin, and I. Nursuprianah, “Golden Ratio and the Meaning of the Wayang Kulit Gunungan Philosophy,” J. Math. Instr. Soc. Res. Opin. (MISRO, vol. 1, no. 1, pp. 41–53, 2022.

I. H. Bisri and A. Muchyidin, “Mathematics on Cirebon Woven Fabric with Lanang Motifs,” J. Math. Instr. Soc. Res. Opin. (MISRO, vol. 1, no. 1, pp. 1–13, 2022.

Kosim, “Application Ability of Students in Integrated Computer-Aided Numerical Analysis Learning,” J. Math. Instr. Soc. Res. Opin. (MISRO, vol. 1, no. 1, pp. 54–62, 2022.

T. P. Wahyusukma, A. Muchyidin, and I. Nursuprianah, “Macan Ali In The Cirebon Glass Painting : The Study Of Ethnomathematics,” J. Math. Instr. Soc. Res. Opin. (MISRO, vol. 1, no. 1, pp. 27–40, 2022.

K. Sadiyah, A. Muchyidin, and N. Izzati, “Application of Collaborative Teamwork Learning Model and Guided Note Taking Model and Their Influence on Students ’ Ability to Understand Mathematical Concepts,” J. Math. Instr. Soc. Res. Opin. (MISRO, vol. 1, no. 1, pp. 14–26, 2022.

J. A. Van de Walle, K. S. Karp, and J. M. Bay-Williams, Elementary and Middle School Mathematics: Teaching Developmentally. Essex: Pearson Education Limited, 2020.

Syaifullah, “Kemampuan Berpikir Geometrik Siswa Sekolah Menengah Pertaman Pada Materi Bangun Datar Di Kelas VIII SMPN 1 Sungai Raya,” Universitas Tanjungpura, 2014.

J. A. Van de Walle, K. S. Karp, J. M. Bay-Williams, and J. Wray, Elementary and Middle School Mathematics: Teaching Developmentally, 9th ed., vol. 10, no. 5. Edinburg: Pearson Education Limited 2015, 2015.

K. Safrina, M. Ikhsan, and A. Ahmad, “Peningkatan Kemampuan Pemecahan Masalah Geometri melalui Pembelajaran Kooperatif Berbasis Teori Van Hiele,” J. Didakt. Mat., vol. 1, no. 1, pp. 9–20, 2014.

S. Lestariyani, N. Ratu, and T. N. H. Yunianta, “Identifikasi Tahap Berpikir Geometri Siswa Smp Negeri 2 Ambarawa Berdasarkan Teori Van Hiele,” Satya Widya, vol. 30, no. 2, p. 96, 2014, doi: 10.24246/j.sw.2014.v30.i2.p96-103.

Herlambang, “Analisis Kemampuan Pemecahan Masalah Matematika Siswa Kelas VII-A SMP Negeri 1 Kepahiang tentang Bangun Datar Ditinjau dari Teori Van Hiele,” Universitas Bengkulu, 2013.

A. Prabowo and E. Ristiani, “Rancang Bangun Instrumen Tes Kemampuan Keruangan Pengembangan Tes Kemampuan Keruangan Hubert Maier dan Identifikasi Penskoran Berdasar Teori Van Hielle,” Kreano, J. Mat. Kreat., vol. 2, no. 2, pp. 72–87, 2011, [Online]. Available: http://journal.unnes.ac.id/nju/index.php/kreano/article/view/2618.

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Published

2022-07-30

How to Cite

[1]
Nasifah, Arif Muchyidin, and Muhamad Ali Misri, “Analysis of the Geometric Thinking Stage of Madrasah Tsanawiyah Students Based on Van Hiele’s Theory”, J.Math.Instr.Soc.Res.Opin., vol. 1, no. 2, pp. 63–72, Jul. 2022.

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