Vol. 9 No. 4 (2023): April
Open Access
Peer Reviewed

Analyzing Students' Learning Obstacles on Distance Material in Three Dimensional

Authors

Sukri , Sufyani Prabawanto , Dian Usdiyana

DOI:

10.29303/jppipa.v9i4.2774

Published:

2023-04-30

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Abstract

This study was intended to identify learning obstacles faced by students on the distance between two points and the distance between point-to-line materials. The data in this study was obtained through a test, interview, and documentation of students who have learned the materials. The research method used was the qualitative method with a case study approach. This study involved 33 students of class XII and a teacher as a participant. Learning obstacles found in this study were ontogenical, didactical, and epistemological obstacles. The ontogenical obstacles were the students' lack of basic geometry ability and counting operations of the square root which caused the students to make mistakes in applying the Pythagoras formula, determining the position of perpendicular lines, as well as completing arithmetic operations of the square root. The didactical obstacle was the fact that students were only emphasized on using a quick formula to solve three-dimensional problems. This fact resulted in the uncompleted concept received by students. Consequently, the students forget the proper procedure for solving the problems easily, and they tend to make mistakes in applying the quick formula. The epistemological obstacle was the lack of students' comprehension of a concept to determine the distance between a point to a line if the triangle which is formed is not a right triangle. This lack of comprehension caused the students can’t solve a mathematics problem. The implication of this study is learning materials used by students should be arranged based on students' needs which consider the analysis of learning obstacles so that the learning objectives can be achieved

Keywords:

Didactical Obstacle Epistemological Obstacle Geometry Learning Obstacle Ontogenical Obstacle Three Dimensional

References

Alghadari, F., Herman, T., & Prabawanto, S. (2020). Factors Affecting Senior High School Students to Solve Three-Dimensional Geometry Problems. International Electronic Journal of Mathematics Education, 15(3), em0590. https://doi.org/10.29333/iejme/8234

Babys, U. (2017). Kemampuan Literasi Matematis Space And Shape Dan Kemandirian Siswa SMA Pada Discovery Learning Berpendekatan RME-PISA. JPMI (Jurnal Pendidikan Matematika Indonesia), 1(2), 43. https://doi.org/10.26737/jpmi.v1i2.82

Bailey, M., Taasoobshirazi, G., & Carr, M. (2014). A multivariate model of achievement in geometry. Journal of Educational Research, 107(6), 440–461. https://doi.org/10.1080/00220671.2013.833073

Ben-Haim, D., Lappan, G., & Houang, R. T. (1985). Visualizing rectangular solids made of small cubes: Analyzing and effecting students' performance. Educational studies in Mathematics, 16, 389-409. https://doi.org/10.1007/BF00417194

Brousseau, G. (2002). Theory of Didactical Situations in Mathematics. In Theory of Didactical Situations in Mathematics. United States of America. https://doi.org/10.1007/0-306-47211-2

Clements, D. H., & Sarama, J. (2011). Early childhood mathematics intervention. Science, 333(6045), 968–970. https://doi.org/10.1126/science.1204537

Dadang, J., M, I., & Roskawati. (2015). Analisis Penguasaan Siswa Sekolah Menengah Atas pada Materi Geometri. Didaktik Matematika, 2(1), 64–70. Retrieved from http://www.e-repository.unsyiah.ac.id/DM/article/view/2387/2253

Fitria, S. D., & Maarif, S. (2021). Hambatan epistemologi pada pembuktian geometri sederhana siswa smp ditinjau dari resiliensi matematis. JPMI: Jurnal Pembelajaran Matematika Inovatif, 4(3), 529–540. https://doi.org/10.22460/jpmi.v4i3.529-540

Hermanto, R., & Santika, S. (2016). Analisis hasil uji kompetensi guru matematika sekolah menengah pertama (SMP) di Kota Tasikmalaya. JP3M (Jurnal Penelitian Pendidikan Dan Pengajaran Matematika), 2(2), 135–142. https://doi.org/10.37058/jp3m.v2i2.165

Hogg, N. M. (2006). Measuring cognitive load. Handbook of Research on Electronic Surveys and Measurements, 188–194. https://doi.org/10.4018/978-1-59140-792-8.ch020

Jiang, Z. (2008). Explorations And Reasoning In The Dynamic Geometry Environment. Proceedings of the Thirteenth Asian Conference on Computers in Education. Retrieved from https://atcm.mathandtech.org/EP2008/papers_full/2412008_15336.pdf

Kereh, C., Sabandar, J., & Tjiang, P. C. (2013). Identifikasi kesulitan belajar mahasiswa dalam konten matematika pada materi pendahuluan fisika inti. Prosiding Seminar Nasional Sains Dan Pendidikan Sains VIII, 4(1), 10–16. Retrieved from http://repository.uksw.edu/handle/123456789/3113

Kusumaningsih, W., Supandi, S., & Ariyanto, L. (2020). Ethnomathematics for congruence concept: A didactical design in a mathematics classroom. Journal of Physics: Conference Series, 1663(1). https://doi.org/10.1088/1742-6596/1663/1/012036

MdYunus, A. S., Ayub, A. F. M., & Hock, T. T. (2019). Geometric thinking of Malaysian elementary school students. International Journal of Instruction, 12(1), 1095–1112. https://doi.org/10.29333/iji.2019.12170a

Mundy, J. F. (2000). Principles and standards for school mathematics: A guide for mathematicians. Notices of the American Mathematical Society, 47(8), 868–876. Retrieved from https://www.ams.org/journals/notices/200008/comm-ferrini.pdf

Noto, M. S., Priatna, N., & Dahlan, J. A. (2019). Mathematical proof: The learning obstacles of pre-service mathematics teachers on transformation geometry. Journal on Mathematics Education, 10(1), 117–125. https://doi.org/10.22342/jme.10.1.5379.117-126

Panaoura, A., & Panaoura, G. (2014). Teachers’ awareness of creativity in mathematical teaching and their practice. IUMPST: The Journal, 4, 1–11. Retrieved from https://eric.ed.gov/?id=EJ1043048

Rofii, A., Sunardi, S., & Irvan, M. (2018). Characteristics of Students’ Metacognition Process At Informal Deduction Thinking Level in Geometry Problems. International Journal on Emerging Mathematics Education, 2(1), 89. https://doi.org/10.12928/ijeme.v2i1.7684

Setiadi, D. R., Suryadi, D., & Mulyana, E. (2017). Didactical Design Enrichment of Angle in Geometry. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012060

Sidik, G. S., Suryadi, D., & Turmudi, T. (2021). Learning Obstacle on Addition and Subtraction of Primary School Students: Analysis of Algebraic Thinking. Education Research International, 2021. https://doi.org/10.1155/2021/5935179

Suryadi, D. (2013). Didactical Design Reasearch (DDR) dalam Pengembangan Pembelajaran Matematika. In Prosiding seminar nasional matematika dan pendidikan matematika, 1, 3-12. Retrieved from http://a-research.upi.edu/operator/upload/pros_ui-uitm_2011_didi_didactical_design_research.pdf

Tall, D. O. (2008). The transition to formal thinking in mathematics. Mathematics Education Research Journal, 20(2), 5–24. https://doi.org/10.1007/BF03217474

Widana, I. W. (2018). Higher Order Thinking Skills Assessment towards Critical Thinking on Mathematics Lesson. International Journal of Social Sciences and Humanities (IJSSH), 24–32. https://doi.org/10.29332/ijssh.v2n1.74

Winsløw, C., Matheron, Y., & Mercier, A. (2013). Study and research courses as an epistemological model for didactics. Educational Studies in Mathematics, 83(2), 267–284. https://doi.org/10.1007/s10649-012-9453-3

Wu, H. H. (1996). The role of Euclidean geometry in high school. Journal of Mathematical Behavior, 15(3), 221–237. https://doi.org/10.1016/S0732-3123(96)90002-4

Author Biographies

Sukri, Universitas Pendidikan Indonesia

Author Origin : Indonesia

Sufyani Prabawanto, Mathematics Education, Universitas Pendidikan Indonesia, Bandung, Indonesia.

Author Origin : Indonesia

Dian Usdiyana, Mathematics Education, Universitas Pendidikan Indonesia, Bandung, Indonesia.

Author Origin : Indonesia

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How to Cite

Sukri, S., Prabawanto, S. ., & Usdiyana, D. . (2023). Analyzing Students’ Learning Obstacles on Distance Material in Three Dimensional . Jurnal Penelitian Pendidikan IPA, 9(4), 1672–1678. https://doi.org/10.29303/jppipa.v9i4.2774