Lapisan Pemahaman Mahasiswa Calon Guru Matematika Dengan Tipe Middle Ability Dalam Menyelesaikan Soal Pembuktian Grup Berdasarkan Teori Pirie-Kieren
DOI:
https://doi.org/10.25273/jems.v8i2.7592Keywords:
grup, lapisan pemahaman, middle ability, pirie-kierenAbstract
Penelitian ini bertujuan untuk mendeskripsikan lapisan pemahaman mahasiswa calon guru matematika dengan tipe middle ability dalam menyelesaikan soal pembuktian grup berdasarkan teori Pirie Kieren. Jenis penelitian ini merupakan penelitian kualitatif, dengan subjek penelitian yaitu mahasiswa program studi pendidikan matematika STKIP PGRI Tulungagung Semester VI Tahun akademik 2019/2020 yang baru saja mengampu mata kuliah struktur aljabar 1 yang mengkaji tentang grup. Instrumen penelitian ini berupa tes lapisan pemahaman pembuktian grup (TLP2G) dan pedoman wawancara. Data penelitian yang dikumpulkan berupa hasil TLP2G dan hasil wawancara. Analisis data dalam penelitian ini terdiri dari tiga tahapan yaitu reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa mahasiswa calon guru matematika dengan tipe middle ability memiliki lapisan pemahaman sampai pada lapisan ke-7 yaitu primitive knowing, image making, image having, property noticing, formalizing, observing, structuring. Pada lapisan ke-8 yaitu inventising, subjek penelitian belum mencapai lapisan tersebut, karena masih belum mampu mengungkapkan pertanyaan-pertanyaan baru di luar TLP2G yang dapat membentuk konsep baru.
Downloads
References
Aisah, S. (2017). Profil Lapisan Pemahaman Dan Folding Back Siswa SMA Dalam Menyelesaikan Soal Logaritma Ditinjau Dari Kemampuan Matematika. UIN Sunan Ampel.
David E. Meel, “Models and Theories of Mathematical Understanding: Comparing Pirie and Kieren’s Model of The Growth of Mathematical Understanding and APOS Theoryâ€, CBMS Issue in Mathematical Education, 12, (2003), 133.
Devi Rovina. 2014. “Kreativitas Siswa SMP dalam Memecahkan Masalah Luas Bangun Datar Sisi Lurus Ditinjau dari Kemampuan Matematikaâ€.
Jung, Inchul. 2002. Doctoral Dissertation: “Student Representation and Understanding of Geometric Transformations with Technology Experienceâ€. Georgia: The University of Georgia.
Kelli M. Slaten. 2010. "Effective Folding Back via Student Research of The History of Mathematics", Proceedings of The 13th Annual Conference on Research in Undergraduate Mathematics Education
Komariyah, S., Septi, D., Afifah, N., & Resbiantoro, G. (2018). Analisis pemahaman konsep dalam memecahkan masalah matematika ditinjau dari minat belajar siswa. SOSIOHUMANIORA: Jurnal Ilmiah Ilmu Sosial dan Humaniora, 4(1), 1–8. https://doi.org/dx.doi.org/10.30738/sosio.v4i1.1477.
Kusaeri, “Acuan & Teknik Penilaian Proses & Hasil Belajar dalam Kurikulum 2013†(Yogyakarta: Ar-Ruzz Media, 2014).
Luvia F. P & Janet. 2016. “Identifikasi Kemampuan Matematika Siswa dalam Memecahkan Masalah Aljabar di Kelas VIII Berdasarkan Taksonomi SOLOâ€, diakses dari http//jurnalmahasiswa.unesa.ac.id.
Martin, LaCorix, and Fownes. 2005. “Folding Back and The Growth of Mathematical Understanding in Workplace Trainingâ€, Mathematics Education Research Journal, 1: 1,
Milda Retna, Lailatul Mubarokah, dan Suhartatik. 2013. “Proses Berpikir Siswa Dalam Menyelesaikan Soal Cerita Ditinjau Berdasarkan Kemampuan Matematikaâ€, Jurnal pendidikan Matematika STKIP PGRI Sidoarjo, 1: 2
Pirie, S., T. E. Kieren. 1994. "Beyond Metaphor:Formalisingin Mathematical Understanding within Constructivist Environments". For the Learning of Mathematics. Vol. 14 No. 1, 39-43.
Purwanto, Ngalim. 2007. Psikologi Pendidikan Remaja. Bandung: Rosdakarya
Sagala, Viktor. 2016. “Profil Lapisan Pemahaman konsep turunan fungsi dan bentuk folding back mahasiswa calon guru berkemampuan tinggi berdasarkan Genderâ€. MATHEdunesa Jurnal Ilmiah Pendidikan Matematika. Vol. 4 No. 1, 42-47.
Skemp, R. R. 1976. “Relational Understanding and Instrumental
Sugiyono. 2012. Memahami Penelitian Kualitatif. Bandung: C.V. Alfabeta.
Susiswo. 2014. “Folding Back Mahasiswa dalam Menyelesaikan Masalah Limit Berdasarkan Pengetahuan Konseptual dan Pengetahuan Proseduralâ€, Prosiding Seminar Nasional TEQIP (Teachers Quality Improvement Program) Universitas Negeri Malang,(Desember, 2014)
Tim Penyusun Kamus Pusat Bahasa, “Kamus Besar Bahasa Indonesia†(Jakarta: Balai Pustaka, 2002)
Utami, I. W., A. H. Rosyidi. 2016. “Profil Lapisan Pemahaman Property Notiching siswa Pada Materi Logaritma ditinjau dari Perbedaan Genderâ€. MATHEdunesa-Jurnal Ilmiah Pendidikan Matematika. Vol. 1 No. 5, 22-24.
Downloads
Published
Issue
Section
License
Please find the rights and licenses in JEMS (Jurnal Edukasi Matematika dan Sains). By submitting the article/manuscript of the article, the author(s) agree with this policy. No specific document sign-off is required.
1. License
The non-commercial use of the article will be governed by the Creative Commons Attribution license as currently displayed on Creative Commons Attribution-ShareAlike 4.0 International License.
2. Author(s)' Warranties
The author warrants that the article is original, written by stated author(s), has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author(s).
3. User Rights
JEMS (Jurnal Edukasi Matematika dan Sains)'s spirit is to disseminate articles published are as free as possible. Under the Creative Commons license, JEMS (Jurnal Edukasi Matematika dan Sains) permits users to copy, distribute, display, and perform the work for non-commercial purposes only. Users will also need to attribute authors and JEMS (Jurnal Edukasi Matematika dan Sains) on distributing works in the journal and other media of publications.
4. Co-Authorship
If the article was jointly prepared by more than one author, any authors submitting the manuscript warrants that he/she has been authorized by all co-authors to be agreed on this copyright and license notice (agreement) on their behalf, and agrees to inform his/her co-authors of the terms of this policy. JEMS (Jurnal Edukasi Matematika dan Sains) will not be held liable for anything that may arise due to the author(s) internal dispute. JEMS (Jurnal Edukasi Matematika dan Sains) will only communicate with the corresponding author.
5. Miscellaneous
JEMS (Jurnal Edukasi Matematika dan Sains) will publish the article (or have it published) in the journal if the article’s editorial process is successfully completed. JEMS (Jurnal Edukasi Matematika dan Sains)'s editors may modify the article to a style of punctuation, spelling, capitalization, referencing and usage that deems appropriate. The author acknowledges that the article may be published so that it will be publicly accessible and such access will be free of charge for the readers as mentioned in point 3.
Â
Every accepted manuscript should be accompanied by "Copyright Transfer Agreement" prior to the article publication.
Â

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