Analysis of students' thinking level in solving Pythagoras' theorem problems based on Van hiele's theory

Sari Wulandari, Ali Syahbana, Tanzimah Tanzimah, Yilun Shang, Robert Weinhandl, Rajinder Sharma

Abstract


The aims of this analysis are to explain the level of thinking of grade VIII students at SMP Negeri 1 Talang Ubi in solving Pythagorean Theorem questions based on Van Hiele's theory. The research approach used in this analysis is descriptive qualitative case study research. The subjects of this research were three students of grade VIII of SMP Negeri 1 Talang Ubi, South Sumatera Indonesia. The three students were chosen based on their test answers on the Pythagorean Theorem material, with one being a high-ability student, one being a medium-ability student, and one being a low-ability student. The study's data collection techniques included assessments, interviews, and documentation. Techniques for data processing include data reduction, data presentation, and conclusion. The findings revealed that high-ability students could complete all four stages of Van Hiele's thinking: imagination, interpretation, informal deduction, and deduction. Moderate students achieved three levels of Van Hiele's thinking, including visualization, analysis, and informal deduction, while low-ability students achieved only one level of Van Hiele's thinking, visualization.

Keywords


Van Hiele's theory; Pythagorean Theorems; Ability of Geometry; Students' thinking level;

Full Text:

PDF

References


Abdussakir. (2009). Pembelajaran Geometri Sesuai Teori Van Hiele. Madrasah:Jurnal Pendidikan dan Pembelajaran Dasar, 2(1). DOI: https://doi.org/10.18860/jt.v2i1.1832

Alex, J. K., & Mammen, K. J. (2012). A survey of South African grade 10 learners’ geometric thinking levels in terms of the Van Hiele theory. The Anthropologist, 14(2), 123-129.

Armah, R. B., Cofie, P. O., & Okpoti, C. A. (2018). Investigating the Effect of van Hiele Phase-Based Instruction on Pre-Service Teachers' Geometric Thinking. International journal of Research in Education and Science, 4(1), 314-330.

A’yun, Q., Yanuarti, R., & Sujiwo, D. A. C. (2021). Performance Analysis of Students Through Critical Thinking Ability Based on Mathematic Ability. Malikussaleh Journal of Mathematics Learning (MJML), 4(1), 23-27. DOI: https://doi.org/10.29103/mjml.v4i1.2737

Baist, A., Fadillah, A., & Nopitasari, D. (2019). Students Self-Regulated Learning in Numerical Methods Course using Computational Mathematics Teaching Materials. Malikussaleh Journal of Mathematics Learning (MJML), 2(1), 1-4. DOI: https://doi.org/10.29103/mjml.v2i1.2122

Erdogan, F. (2020). Prospective Middle School Mathematics Teachers' Problem Posing Abilities in Context of Van Hiele Levels of Geometric Thinking. International Online Journal of Educational Sciences, 12(2).

Ferinaldi, & Susanti, A. (2018). Pengaruh Model Pembelajaran Co-op Co-op terhadap Pemahaman Konsep Ditinjau Dari Gaya Belajar Visual, Audio, Kinestetik Siswa Kelas VIII SMPN 43 Merangin. Jurnal Edumatica, 8(1 ), 23-35. DOI: https://doi.org/10.22437/edumatica.v8i01.4115

Fitriyah, Murtadlo, A., & Warti, R. (2017). Pengaruh Model Pembelajaran Discovery Learning Terhadap Hasil Belajar Matematika Siswa MAN Model Kota Jambi. Jurnal Pelangi, 9 (2 ), 108-112. DOI: https://doi.org/10.22202/jp.2017.v9i2.1898

Fitriyani, W., & Sugiman. (2014). Pengembangan Perangkat Pembelajaran Teorema Pythagoras Dengan Pendekatan IDEAL Berbantuan Geogebra. Jurnal Riset Pendidikan Matematika, 1(2), 268-284. DOI: https://doi.org/10.21831/jrpm.v1i2.2681

Fonna, M., & Mursalin, M. (2019). Using of wingeom software in geometry learning to improving the of mathematical representation ability. Malikussaleh Journal of Mathematics Learning (MJML), 1(2), 40-43. DOI: https://doi.org/10.29103/mjml.v1i2.1174

Hamidah, H., & Kusuma, J. W. (2021). The Improving Students’ Mathematics Results and Interest Through Online-Based Flipped Classroom Models. Malikussaleh Journal of Mathematics Learning (MJML), 4(1), 7-12. DOI: https://doi.org/10.29103/mjml.v4i1.2919

Lestariyani, S., Ratu, N., & Yunianta, T. N. (2013). Identifikasi Tahap Berpikir Geometri Siswa SMP Negeri 2 Ambarawa Berdasarkan Teori Van Hiele. Jurnal Penelitian Pengembangan Kependidikan, 30(2), 96-103. DOI: https://doi.org/10.24246/j.sw.2014.v30.i2.p96-103

Lhechukwu, N. B. (2020). Impact of Instructional Scaffolding Approach on Secondary School Students Achievement in Mathematics. Malikussaleh Journal of Mathematics Learning, 3(2), 46-50. https://eric.ed.gov/?id=EJ1283339

Ma, H. L., Lee, D. C., Lin, S. H., & Wu, D. B. (2015). A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders. Eurasia Journal of Mathematics, Science and Technology Education, 11(5), 1181-1196.

Maulidawati, M., Muhammad, I., Rohantizani, R., & Mursalin, M. (2020). The Implementation of Make a Match Type Cooperative Learning Model to Improve the Mathematical Connection Ability. International Journal for Educational and Vocational Studies, 2(11). DOI: https://doi.org/10.29103/ijevs.v2i11.3319

Mersin, N., Karabörk, M. A., & Durmuş, S. (2020). Awareness of preservice mathematics teachers about prehistoric and ancient number systems. Malikussaleh Journal of Mathematics Learning (MJML), 3(2), 57-61. DOI: https://doi.org/10.29103/mjml.v3i2.2904

Mulyadi, I., & Muhtadi, D. (2019). Proses Berpikir Siswa dalam Menyelesaikan Masalah Geometri Berdasarkan Teori Van Hiele. JP3M:Jurnal Penelitian Pendidikan dan Pengajaran Matematika, 5(1), 1-8. DOI: https://doi.org/10.37058/jp3m.v5i1.661

Mulyatna, F., Imswatama, A., & Rahmawati, N. D. (2021). Design Ethnic-Math HOTS: Mathematics Higher Order Thinking Skill Questions Based On Culture and Local Wisdom. Malikussaleh Journal of Mathematics Learning (MJML), 4(1), 48-51. DOI: https://doi.org/10.29103/mjml.v4i1.3059

Musa, L. A. (2016). Level Berpikir Geometri Menurut Teori Van Hiele Berdasarkan Kemampuan Geometri dan Perbedaan Gender Siswa Kelas VII SMPN 8 Pare-Pare. aL-Khwarizmi:Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam, 4(2), 103-116. DOI: https://doi.org/10.24256/jpmipa.v4i2.255

Musa, M. R., Ikhsan, M., & Zaura, B. (2017). Peningkatan Kemampuan Berpikir Kritis melalui Penerapan Model Pembelajaran Berbasis Teori Van Hiele di Kelas IX SMP Negeri Banda Aceh. Jurnal Ilmiah Mahasiswa Pendidikan Matematika Vol. 2 ( 2), 9-17. http://www.jim.unsyiah.ac.id/pendidikan-matematika/article/view/10048

Oyebanji, M. S., & Idiong, U. S. (2021). Challenges of Teaching Mathematics to Students with Visual Impairment. Malikussaleh Journal of Mathematics Learning (MJML), 4(1), 1-6. DOI: https://doi.org/10.29103/mjml.v4i1.2538

Paroqi, L. L., Mursalin, M., & Marhami, M. (2020). The Implementation of Realistic Mathematics Education Approach to Improve Students' Mathematical Communication Ability in Statistics Course. International Journal for Educational and Vocational Studies, 2(10). DOI: https://doi.org/10.29103/ijevs.v2i10.3311

Putriani, D., & Rahayu, C. (2018). The effect of discovery learning model using sunflowers in circles on mathematics learning outcomes. International Journal of Trends in Mathematics Education Research, 1(1), 22-25. DOI: https://doi.org/10.33122/ijtmer.v1i1.26

Puspitasari, E., Masitoh, S., & Jannah, M. (2019). Testing the Effect of Smart Egg Puzzle Games on Understanding the Geometry Concepts of Early Childhood. International Journal for Educational and Vocational Studies, 1(1), 68-71. DOI: https://doi.org/10.29103/ijevs.v1i1.1490

Razak, F., Sutrisno, A. B., & Immawan, A. Z. (2017). Analisis Tingkat Berpikir Siswa Berdasarkan Teori Van Hiele Ditinjau Dari Gaya Kognitif. Prosiding Seminar Nasional, 3 (1), 75-83. DOI: https://doi.org/10.22437/edumatica.v7i02.4214

Rahmad, F. M., & Qohar, A. (2020). Improving Proof Ability of Prospective Teachers with a Contextual Model on Trigonometry. Malikussaleh Journal of Mathematics Learning (MJML), 3(1), 4-7. DOI: https://doi.org/10.29103/mjml.v3i1.2339

Rahmah, N. A. L., & Munir, A. (2019). Rationale as an Innovative Learning Application to Improve Students’ Critical Thinking in Argumentative Writing. International Journal for Educational and Vocational Studies, 1(7), 744-749. DOI: https://doi.org/10.29103/ijevs.v1i7.1745

Rahmatina, D., & Zaid, N. M. (2019). Perceptions of teachers, principals and school supervisors on students' skills using ICT in learning in the Senior High School. Malikussaleh Journal of Mathematics Learning (MJML), 2(1), 19-22. DOI: https://doi.org/10.29103/mjml.v2i1.610

Ridhollah, M., Muliana, M., & Mursalin, M. (2021). The Influence of Cooperative Integrated Reading and Composition Model on Completing Abilities of Story Questions. Malikussaleh Social and Political Reviews, 2(1), 33-42. DOI: https://doi.org/10.29103/mspr.v2i1.4978

Rizki, H. T. N., Frentika, D., & Wijaya, A. (2018, March). Exploring students’ adaptive reasoning skills and van Hiele levels of geometric thinking: a case study in geometry. In Journal of Physics: Conference Series (Vol. 983, No. 1, p. 012148). IOP Publishing.

Sarah, K., Mursalin, M., Muliana, M., Nuraina, N., & Rohantizani, R. (2021). The Influence of the Inside Outside Circle Cooperative Learning Model on Students' Mathematical Communication Ability. International Journal for Educational and Vocational Studies, 3(3), 177-185. DOI: https://doi.org/10.29103/ijevs.v3i3.4981

Samsuriadi, S., & Imron, M. A. (2019). The Effect of Think Pair Share (TPS) Learning Model with Problem Solving Approach on the Student's Math Communication in MA DA Jarowaru. Malikussaleh Journal of Mathematics Learning (MJML), 2(1), 9-12. DOI: https://doi.org/10.29103/mjml.v2i1.2125

Subiyantari, A. R., Muslim, S., & Rahmadyanti, E. (2019). Effectiveness of Jigsaw cooperative learning models in lessons of the basics of building construction on students learning'outcomes viewed from critical thinking skills. International Journal for Educational and Vocational Studies, 1(7), 691-696. DOI: https://doi.org/10.29103/ijevs.v1i7.1653

Tieng, P. G., & Eu, L. K. (2014). Improving Students' Van Hiele Level of Geometric Thinking Using Geometer's Sketchpad. Malaysian online journal of educational technology, 2(3), 20-31.

Ulva, M., & Suri, I. R. (2019). Pengaruh Model Pembelajaran Auditory Intellectualy Repetition Terhadap Kemampuan Komunikasi Matematis Peserta Didik. UNION: Jurnal Pendidikan Matematika Vol.7 (1), 15-21. https://core.ac.uk/download/pdf/230371783.pdf

Usmadi, U., Hasanah, H., & Ergusni, E. (2020). The impact of the implementation three-step Interview cooperative learning model in mathematics learning toward the learners’ activities and outcomes. Malikussaleh Journal of Mathematics Learning (MJML), 3(1), 8-12. DOI: https://doi.org/10.29103/mjml.v3i1.2447

Utami, M. W., Setiawan, T. B., & Oktavianingtyas, E. (2016). Tingkat Berpikir Geometri Siswa Kelas VII-B SMP Negeri 1 Jember Materi Segiempat Berdasarkan Teori Van Hiele Ditinjau Dari Hasil Belajar Matematika. Jurnal Edukasi UNEJ Vol. 3 (2), 43-47. DOI: https://doi.org/10.19184/jukasi.v3i2.3529

Van Hiele, P. M. (1999). Developing geometric thinking through activities that begin with play. Teaching children mathematics, 5(6), 310-316.

Walle, J. A. (2008). Sekolah Dasar dan Menengah Matematika Pengembangan Pengajaran Jilid 2. Jakarta: Erlangga.

Yarmasi, Y., Fonna, M., & Mursalin, M. (2020). The Influence of Cooperative Learning Model Type Team Assisted Individualized of Interactive Media Assistance to Students' Mathematical Communication Ability. International Journal for Educational and Vocational Studies, 2(9). DOI: https://doi.org/10.29103/ijevs.v2i9.3303

Zaerani, S., Mardhiah, & Suharti. (2017). Pengaruh Penguasaan Konsep Teorema Pythagoras Terhadap Kemampuan Menyelesaikan Soal-Soal Bangun Ruang Sisi Datar pada Siswa Kelas VIII MTs Negeri Balang-Balang. MaPan:Jurnal Matematika dan Pembelajaran Vol. 5 (2), 279-292. http://repositori.uin-alauddin.ac.id/7153/




DOI: https://doi.org/10.29103/mjml.v4i2.3905

Article Metrics

 Abstract Views : 567 times
 PDF Downloaded : 253 times

Refbacks

  • There are currently no refbacks.


Copyright (c) 2021 Sari Wulandari, Ali Syahbana, Tanzimah, Yilun Shang, Robert Weinhandl, & Rajinder Sharma

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

CURRENT INDEXING :

Malikussaleh Journal of Mathematics Learning (MJML) are abstracting & indexing in the following databases:

https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcTEScUl3v2Etgwe2TfFrBLazt810llmwl9VyyFd2lwnNa88qoHn

Malikussaleh Journal of Mathematics Learning (MJML) also has been listed and archives in the following databases: SHERPA/RoMEO Policy, LOCKSS Archieving System, ULRICHSWEB Proquest, EZB Universitat Reqensburq, Open Science Directory by EBSCO information service and ROAD ISSN.