PROFILE OF GRADIENT PROCEPT AND STRAIGHT LINE EQUATIONS FOR JUNIOR HIGH SCHOOL STUDENTS BASED ON MATHEMATICS ABILITY
DOI:
https://doi.org/10.30862/jhm.v4i2.198Keywords:
Mathematical Abilities, Profile of Procept Gradient, Straight-Line EquationAbstract
A procept is a combination of mental objects consisting of processes, concepts resulting from these processes, and symbols used to represent either concepts or processes. This study aims to describe the procept profile of the gradient concept and the equation of a straight line for the students of SMPN 1 Sooko Mojokerto. This type of research is descriptive qualitative exploratory. Determining the research subjects was carried out by giving a mathematical ability test to 42 prospective subjects, to obtain 5 students with high mathematics abilities, 22 students, and 15 low students, then from each category one research subject was taken. Data was collected using task-based interviews and analyzed by qualitative data analysis techniques through data reduction, data presentation, and conclusion drawing. The results showed that there were differences in the procept profile of the gradient and straight-line equations between students with high, medium, and low abilities. The procept profiles of students with high math abilities meet all categories, students with moderate math abilities meet most of the categories, and students with low math abilities meet the small categories of gradient and straight-line equations.
References
Akbar, P., Hamid, A., Bernard, M., & Sugandi, A. I. (2017). 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. https://doi.org/10.31004/cendekia.v2i1.62
Chin, E.-T. (2003). Mathematical Proof as Formal Procept in Advanced Mathematical Thinking. In International Group for the Psychology of Mathematics Education (Vol. 2, pp. 213–220). International Group for the Psychology of Mathematics Education. https://eric.ed.gov/?id=ED500940
Cho, P., & Nagle, C. (2017). Procedural and Conceptual Difficulties with Slope: An Analysis of Students’ Mistakes on Routine Tasks. International Journal of Research in Education and Science, 3, 135–150.
Draha, Faso. (2013). Proses Berpikir Mengonstruksi Bukti Geometri sebagai Prosep (Disertasi yang tidak dipublikasikan), Universitas Negeri Surabaya, Surabaya
Gray, E., & Tall, D. (1993). Success and Failure in Mathematics: The Flexible Meaning of Symbols as Process and Concept. 8.
Hadi, S., & Novaliyosi, N. (2019). Timss Indonesia (Trends In International Mathematics And Science Study). Prosiding Seminar Nasional & Call For Papers, 0(0), Article 0. http://jurnal.unsil.ac.id/index.php/sncp/article/view/1096
Hidayanto, E., Purwanto, P., Subanji, S., & Rahardjo, S. (2014). Transisi Dari Berpikir Aritmetis Ke Berpikir Aljabaris.
Jupri, A., Drijvers, P., & van den Heuvel-Panhuizen, M. (2014). Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26(4), 683–710. https://doi.org/10.1007/s13394-013-0097-0
Miles, M.B. & Huberman, A.M. (1992). Analisis data kualitatif: buku sumber tentang metode-metode baru. Terjemahan oleh Tjetjep Rohendi. Jakarta: UI-Press.
NCTM. (2000). Guiding Principles for Mathematics Curriculum and Assessment. Reston, VA: National Council of Teachers of Mathematics.
Nurman, T. A. (2008). Profil Kemampuan Siswa SMP dalam Memecahkan Masalah Matematika Open Ended Ditinjau Dari Perbedaan Tingkat Kemampuan Matematika. Disertasi Doktor, Unesa Surabaya.
Permendikbud Nomor 58 Tahun 2014. Kurikulum 2013 Sekolah Menengah Pertama/Madrasah Tsanawiyah.
Sajka, M., (2003). A Secondary School Student’s Understanding Of The Concept Of Function-A Case Study, Educational Studies in Mathematics 53: 229–254
Skor PISA Terbaru Indonesia, Ini 5 PR Besar Pendidikan pada Era Nadiem Makarim Kompas.com. (2019).
Sugiman, S. (2011). Prosep-Prosep Dalam Matematika Sekolah. Pemantapan Keprofesionalan Peneliti, Pendidik, Dan Praktisi MIPA Untuk Mendukung Pembangunan Karakter Bangsa. http://www.uny.ac.id
Suratman, D. (2011). Pemahaman Konseptual dan Pengetahuan Prosedural Materi Pertidaksamaan Linear Satu Variabel Siswa Kelas VII SMP (Studi Kasus di Mts. Ushuluddin Singkawang. Jurnal Cakrawala Kependidikan, 9(2), 218571.
Tall, D. (2006). Encouraging Mathematical Thinking That Has Both Power And Simplicity. 15.
Tall, D. (2007). Embodiment, symbolism and formalism in undergraduate mathematics education. David Tall Home Page.
Tall, D. (2008). The transition to formal thinking in mathematics. Mathematics Education Research Journal, 20, 5–24. https://doi.org/10.1007/BF03217474
Tall, D., Gray, E., Ali, M. B., Crowley, L., DeMarois, P., McGowen, M., Pitta, D., Pinto, M., Thomas, M., & Yusof, Y. (2001). Symbols and the bifurcation between procedural and conceptual thinking. Canadian Journal of Science, Mathematics and Technology Education, 1(1), 81–104.
Weber, K. (2005). Students Understanding of Trigonometric Functions, Mathematics Education Research Journal. Vol. 17, No. 3, 91–112. Diunduh dari https://files.eric.ed.gov/fulltext/EJ747914.pdf
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