ANALISIS KESALAHAN DALAM MENYELESAIKAN MASALAH SEGIEMPAT DITINJAU DARI PERKEMBANGAN KOGNITIF
DOI:
https://doi.org/10.30862/jhm.v3i1.82Keywords:
Error Analysis, Square, Polya, Cognitive DevelopmentAbstract
This study aims to describe students' mistakes in solving rectangular problems based on their cognitive development. This research is a descriptive qualitative study with 4 research’s subjects taken based on purposive sampling. Data collection techniques use tests, namely Test of Logical Operations and Problem-solving Tests. Data analysis techniques include reduction, presentation, and data verification. The results of the study show that mistakes that are often made by students are less complete in writing what is known and asked about the problem. At the stage of devising a plan, students are wrong in determining the formula, the complete steps to be used, and do not write an answer. At the stage of carrying out the plan, students tend to immediately calculate what is known in the problem, not even writing answers at all. Students do not check the answer so that the results of their conclusions and conclusions are wrong.
References
Akbar, P., Hamid, A., Bernard, M., & Sugandi, A. I. (2018). Analisis Kemampuan Pemecahan Masalah dan Disposisi Matematik Siswa Kelas Xi SMA Putra Juang dalam Materi Peluang. Jurnal Cendekia: Jurnal Pendidikan Matematika, 2(1), 144-153.
Alhaddad, I. (2012). Penerapan Teori Perkembangan Mental Piaget pada Konsep Kekekalan Panjang. Infinity Journal, 1(1), 31-44.
Anisa, W. N. (2015). Peningkatan Kemampuan Pemecahan Masalah Matematik melalui Pembelajaran Pendidikan Matematika Realistik untuk Peserta Didik SMP Negeri Di Kabupaten Garut. JP3M (Jurnal Penelitian Pendidikan dan Pengajaran Matematika), 1(1), 73-82.
Creswell, J. W. (2012). Educational Research: Planning, Conducting, and Evaluation Qualitative and Quantitative Research. Boston: Person Educational.
Darma, Y., Firdaus, M., & Haryadi, R. (2016). Hubungan Kemandirian Belajar terhadap Kemampuan Pemecahan Masalah Matematis Mahasiswa Calon Guru Matematika. Edukasi: Jurnal Pendidikan, 14(1), 169-178.
Demianus, D., Jufrianto, J., Nanang, R. J., Tonengan, R., & Sartita, P. (2019). Perkembangan Cara Berpikir Anak Di Usia 2-7 Tahun Dengan Menebak Gambar Dan Ukuran Melalui Video Dengan Teori Kognitif. https://doi.org/10.31219/osf.io/ms8zf.
Gurria, A. (2016). PISA 2015 Result in Focus. PISA in Focus, (67), 1.
Hidayah, S. (2016). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita SPLDV Berdasarkan Langkah Penyelesaian Polya. Prosiding Seminar Nasional Pendidikan Matematika, Universitas Kanjuruan Malang. 1, 182-190.
Hidayat, W. (2017). Adversity quotient dan penalaran kreatif matematis siswa sma dalam pembelajaran argument driven inquiry pada materi turunan fungsi. KALAMATIKA: Jurnal Pendidikan Matematika, 2(1), 15-28.
Hijriati, H. (2017). Tahapan perkembangan kognitif pada masa early childhood. Bunayya: Jurnal Pendidikan Anak, 1(2), 33-49.
Holis, A. (2017). Belajar Melalui Bermain untuk Pengembangan Kreativitas dan Kognitif Anak Usia Dini. Jurnal Pendidikan UNIGA, 10(1), 23-37.
Inayah, S. (2018). Peningkatan Kemampuan Pemecahan Masalah dan Representasi Multipel Matematis dengan Menggunakan Model Pembelajaran Kuantum. KALAMATIKA Jurnal Pendidikan Matematika, 3(1), 1-16.
Irfan, M., Sa’dijah, C., Ishartono, N., Widodo, S., Rahman, A., & Hudha, M. (2018). Interference in Solving Mathematical Problems. In Proceedings of the 1st International Conference on Science and Technology for an Internet of Things. European Alliance for Innovation (EAI). Yogyakarta, 1-10.
Jumiati, Y., & Zanthy, L. S. (2020). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Persamaan Dan Pertidaksamaan Linear Satu Variabel. JPMI (Jurnal Pembelajaran Matematika Inovatif), 3(1), 11-18.
Katon, K. S., & Arigiyati, T. A. (2018, February). Analisis Kesalahan Siswa Menurut Polya Materi Persamaan dan Pertidaksamaan Linear Satu Variabel. In Prosiding Seminar Nasional Pendidikan Matematika Etnomatnesia. Program Studi Pendidikan Matematika, Universitas Sarjanawiyata Tamansiswa, Yogyakarta, pp. 575-579.
Kristofora, M., & Sujadi, A. A. (2017). Analisis Kesalahan Dalam Menyelesaikan Masalah Matematika Dengan Menggunakan Langkah Polya Siswa Kelas VII SMP. PRISMA, 6(1), 9-16.
Leongson, J. A., & Limjap, A. A. (2003, January). Assessing the mathematics achievement of college freshmen using Piaget’s logical operations. In The Hawaii International Conference on Education (pp. 1-25).
Masni, E. D. (2017). Asosiasi Kemampuan Pemecahan Masalah dan Mathematical Habits of Mind Siswa SMP. Indonesian Journal of Educational Studies, 20(1), 38-44.
Miles, H., & Huberman, A. M. Saldana.(2014). Qualitative data analysis: A methods sourcebook, 3.
Mumu, J., Prahmana, R. C. I., & Tanujaya, B. (2018). Construction and reconstruction concept in mathematics instruction. Journal of Physics: Conference Series, 943(1), 012011.
Nurgiyantoro, B. (2005). Tahapan Perkembangan Anak dan Pemilihan Bacaan Sastra Anak. Yogyakarta: Yogyakarta State University.
Ojose, B. (2008). Applying Piaget's Theory Of Cognitive Development To Mathematics Instruction. The Mathematics Educator, 18(1), 26-30.
Pardimin, P., & Widodo, S. A. (2016). Increasing Skills of Student in Junior High School to Problem Solving in Geometry with Guided. Journal of Education and Learning, 10(4), 390-395.
Pardimin, P., & Widodo, S. A. (2017). Development comic based problem solving in geometry. International Electronic Journal of Mathematics Education, 12(3), 233-241.
Polya, G. (1973). How to solve it: A new aspect of mathematical method. New Jersey: Princeton University Press.
Rahman, U. (2009). Karakteristik perkembangan anak usia dini. Lentera Pendidikan: Jurnal Ilmu Tarbiyah dan Keguruan, 12(1), 46-57.
Sundayana, R. (2016). Kaitan antara gaya belajar, kemandirian belajar, dan kemampuan pemecahan masalah siswa SMP dalam pelajaran matematika. Mosharafa: Jurnal Pendidikan Matematika, 5(2), 75-84.
Tomo, T., Yusmin, E., & Riyanti, S. (2016). Kemampuan Pemecahan Masalah Siswa pada Materi Bangun Datar di SMP. Jurnal Pendidikan Matematika FKIP Untan, 1(1), 1-11.
Turyanto, T., Agustito, D., & Widodo, S. A. (2019). Think Pair Share With Comic For Mathematical Problem Solving Skills. Formatif: Jurnal Ilmiah Pendidikan MIPA, 9(3), 181-190.
Ulya, H. (2015). Hubungan Gaya Kognitif dengan Kemampuan Pemecahan Masalah Matematika Siswa. Jurnal Konseling GUSJIGANG, 1(2), 1-12.
Usudo, B. (2012). Karakteristik Intuisi Siswa SMA dalam Memecahkan Masalah Matematika Ditinjau dari Kemampuan Matematika dan Perbedaan Gender. Aksioma, 1(01).
Widodo, S. A. (2013). Analisis Kesalahan Dalam Pemecahan Masalah Divergensi Tipe Membuktikan pada Mahasiswa Matematika. Jurnal Pendidikan Dan Pengajaran, 46(2), 106-113.
Widodo, S. A., & Turmudi, T. (2017). Guardian Student Thinking Process in Resolving Issues Divergence. Journal of Education and Learning, 11(4), 432-438.
Widodo, S. A., Turmudi, T., Dahman, J.A. (2019). An Error Students In Mathematical Problems Solves Based On Cognitive Development. International Journal of Scientific & Technology Research. 8(7), 433-439.
Widodo, S., Irfan, M., Leonard, L., Fitriyani, H., Perbowo, K., & Trisniawati, T. (2018). Visual Media in Team Accelerated Instruction to Improve Mathematical Problem-Solving Skill. In Proceedings of The First International Conference on Science and Technology for an Internet of Things. European Alliance for Innovation (EAI). Yogyakarta, 1-10.
Downloads
Published
How to Cite
Issue
Section
License
License and Copyright Agreement
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal. Please also carefully read Journal of Honai Math Posting Your Article Policy at http://journalfkipunipa.org/index.php/jhm/about
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
Copyright
Authors who publish with Journal of Honai Math agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-NC-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
