Analysis of students' difficulties in understanding triangular material
(1) Universitas Syiah Kuala, Banda Aceh, 23111, Indonesia
(2) Universitas Syiah Kuala, Banda Aceh, 23111, Indonesia
(3) Universitas Syiah Kuala, Banda Aceh, 23111, Indonesia
(4) Universitas Syiah Kuala, Banda Aceh, 23111, Indonesia
Corresponding Author
AbstractThis study aims to describe the difficulties experienced by students in understanding triangular material and the causes of these difficulties. This research is a descriptive research on 7 subjects selected from 23 grade VIII students at MTsS Darul Ihsan, Aceh Besar. The subjects of the study were selected based on the data of the test results of students' ability to solve triangular problems. Based on the test result data, subjects were categorized based on indicators of triangular material then in theinterview to dig deeper into the causes of students' difficulties. The interview results are transcribed and then analyzed qualitatively through the stages of data reduction, data presentation, and conclusion withdrawal. To ensure the validity of the data, a source riangulation is carried out, which compares data from interviews between students and teachers. The results showed that based on the achievement indicators of triangular material, the majority of students experienced conceptual difficulties compared to principle and procedural difficulties. The causes of difficulties experienced by students include: lack of focus during the learning process; lack of understanding of prerequisite material; lack of practice of varied questions; the teacher's explanation regarding the material cannot be easily understood by students; Lack of accuracy in understanding the meaning of the problem and Kurang careful in doing calculations. Keywordsstudents’ difficulty; conceptual difficulty; principles difficulty; procedural difficulty; triangle
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Article DOIDOI: https://doi.org/10.33122/ijtmer.v6i2.218 |
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Article PagesPages: 138-144 |
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References
Acharya, R.B. (2017). Factors Affecting Difficulties in Learning Mathematics by Mathematics Learners. International Journal of Elementary Education, 6(2), 8. https://doi.org/10.11648/j.ijeedu.20170602.11
Anderson, L. W. & Krathwohl, D. R. (2010). Kerangka Landasan Untuk Pembelajaran, Pengajaran, dan Asesmen. Yogyakarta: Pustaka Pelajar.
Biber A. Ç. (2020). Students' difficulties in similar triangle questions. Cypriot Journal of Educational Science, 15(5), 1146 -1159. https://doi.org/10.18844/cjes.v15i5.5161
Burger, W. F., & Shaughnessy, J. M. (1986). Characterizing the van Hiele levels of development in geometry. Journal for Research in Mathematics Education, 17(1), 31–48.
Clements, D. H., Swaminathan, S., Hannibal, M. A. Z., & Sarama, J. (1999). Young children’s concepts of shape. Journal for Research in Mathematics Education, 30, 192–212.
Faggiano, E. (2012). About physical and technological manipulation in primary and lower secondary school geometry education. Paper presented in 12th International Congress on Mathematical Education, COEX, Seoul, Korea.
Fielker, D. S. (1979). Strategies for teaching geometry to younger children. Educational Studies in Mathematics, 10, 85–133.
Guo, J. P., & Pang, M. F. (2011). Learning a mathematical concept from comparing examples: the importance of variation and prior knowledge. European Journal of Psychology of Education, 26(4), 495–525.
Hershkowitz, R. (1989). Visualization in geometry: Two sides of the coin. Focus on Learning Problems in Mathematics, 11(1), 61–76.
Hidayah, I. S., & Fitriani, N. (2021). Analisis Kesulitan Siswa SMP Kelas VII dalam Memahami Materi Segiempat dan Segitiga dalam Pembelajaran Daring. JPMI-Jurnal Pembelajaran Matematika Inovatif, 4 (3), 631-642.
Hsi, S., Linn, M. C., & Bell, J. E. (1997). The role of spatial reasoning in engineering and the design of spatial instruction. Journal of Engineering Education, 86(2), 151–158.
Islami, Annisa N., dkk. (2019). Analisis Kesulitan Siswa dalam Menyelesaikan Soal Matematika pada Materi Kesebangunan dan Kekongruenan. Simposium Nasional Ilmiah dengan tema: (Peningkatan Kualitas Publikasi Ilmiah melalui Hasil Riset dan Pengabdian kepada Masyarakat), 7 November 2019, hal: 158-170 ISBN: 978-623-90151-7-6 DOI: 10.30998/simponi.v0i0.444
Islamiyah, Anna C., dkk. (2018). Analisis Kesalahan Siswa SMP pada Penyelesaian Masalah Sistem Persamaan Linear Dua Variabel. Jurnal Didaktik Matematika Vol. 5, No. 1.
Khaidir, C., & Rahmi, E. (2016). Analisis kesalahan siswa dalam menyelesaikan soal cerita matematika kelas X.2 SMAN 1 Salimpaung berdasar metode kesalahan newman. Proceeding of international seminar on Education 2016, Faculty of Trabiyah and teacher Training, IAIN Batusangkar, 1(2) 103-110.
Jones, K. (2002). Issues in the teaching and learning of geometry. In Linda Haggarty (Ed), Aspects of teaching Secondary Mathematics: Perspectives on practice. London: Routledge Falmer. Chapter 8, pp 121-139. ISBN: 0-415-26641-6.
Kaplan, A. & Hızarcı, S. (2005). Matematik öğretmen adaylarının üçgen kavramı ile ilgili bilgi düzeyleri (Knowledge levels of prospective mathematics teachers about the concept of triangle). Kazım Karabekir Eğitim Fakültesi Dergisi, 11, 472-478.
Killpatrik, J., Swafford, and B. Findell. (2001). Adding It Up: Helping Children Learn Mathematics. Washington, DC: National Academy Press.
Lehrer, R., Jenkins, M., & Osana, H. (1998). Longitudinal study of children’s reasoning about space and geometry. In R. Lehrer & D. Chazan (Eds.), Designing learning environments for developing understanding of geometry and space (pp. 137–167). Mahwah: Erlbaum.
Luneta, K. (2015). Understanding students’ misconceptions: An analysis of final Grade 12 examination questions in geometry. Pythagoras, 36(1).
Mcloughlin A. (1998). Children and Adolescent with learning disability in Mathematics. Boston, Houghton Mifflin, U.S.A.
Miyakawa, T. (2017). Comparative analysis on the nature of proof to be taught in geometry: The cases of French and Japanese lower secondary schools. Educational Studies in Mathematics, 94, 37–54.
National Council of Teachers of Mathematics [NCTM]. (2001). Curriculum and evaluation standards for school mathematics. Reston VA: The Council.
Pawestri, U., Soeyono, & Kurniawati, I. (2013). Analisis Kesulitan Pembelajaran Matematika Dengan Pengantar Bahasa Inggris Pada Materi Pokok Bentuk Logaritma Kelas X Imersi SMA Negeri Karangpandan Karanganyar 2012/2013. Jurnal Pendidikan Matematika Solusi, 1(1), 1–7.
Prabowo, A., Anggroro, R.P & Rahmawati, U. (2018). Profil hasil ujian nasional materi matematika SMP/MTs. EduMa, 7(2), 31-40.
Pusat Penilaian Pendidikan Balitbang Kemdikbud. (2019). Laporan Hasil Ujian Nasional SMP/MTs Tahun Pelajaran 2018/2019.Jakarta: Pusat Penilaian Pendidikan Balitbang Kemdikbud. [Onlline] Available at: https://hasilun.puspendik.kemdikbud.go.id [diakses 19 April 2022]
Rahayu, N. S. (2013). Eksperimentasi Pembelajaran Matematika dengan Model Problem Solving pada Sub Materi Besar Sudut-Sudut, Keliling dan Luas Segitiga Ditijau dari Aktivitas Belajar Matematika Siswa Kelas VII Semester II SMP Negeri 2 Jaten Karanganyar Tahun Pelajaran 2010/2011. Jurnal Pendidikan Matematika Solusi, 1(1): 54-60
Rahaju, et al. (2019). Misconception of triangle concept through epistemological mathematics belief. IOP Conf. Series: Journal of Physics: Conf. Ser. 1188 012076.
Syahroni, M., Trapsilasiwi, D. & Kristiana, A.I. (2014). Analisis Soal Geometri pada Buku Siswa Matematika Kurikulum 2013 Kelas VII berdasarkan Tingkat Berpikir Van Hiele. Jurnal Kadikma, 7(2).
Tsamir, P., Tirosh, S., & Levenson, E. (2008). Intuitive non examples: The case of triangles. Educational Studies in Mathematics, 69(2), 81–95.
TIMSS. (1999). The trends in international mathematics and science study (TIMSS) and the progress in international reading literacy study (PIRLS) international study center. http://timss.bc.edu/
Ubuz, B., & Aydın, U. (2018). Geometry knowledge test about triangles: Evidence on validity and reliability. ZDM, 50(4), 659–673.
Vinner, S., & Hershkowitz, R. (1980). Concept images and some common cognitive paths in the development of some simple geometric concepts. In R. Karplus (Ed.), Proceedings of the 4th PME International Conference (pp. 177–184). Berkeley, CA: Berkley.
Wai, J., Lubinski, D., Benbow, C. P., & Steiger, J. H. (2010). Accomplishment in science, technology, engineering, and mathematics (STEM) and its relation to STEM educational dose: A 25-year longitudinal study. Journal of Educational Psychology, 102(4), 860–871.
Wallrabenstein, H. (1973). Development and signification of a geometry test. Educational Studies in Mathematics, 5, 81–89
Widyasari, N. M. D., Meter, I. G., & Negara, I. G. A. O. (2015). Analisis Kesulitan-Kesulitan Belajar Matematika Siswa Kelas IV dalam Implementasi Kurikulum 2013 di SD Piloting se-Kabupaten Gianyar. MIMBAR PGSD Undiksha, 3(1).
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