Cabaran Kognitif dalam Pembelajaran Geometri Koordinat: Suatu Sorotan Literatur Komprehensif

  • Bahiah Baharudin Sekolah Pendidikan, Fakulti Sains Sosial dan Kemanusiaan, Universiti Teknologi Malaysia (UTM) 81310 Johor Bahru, Johor, Malaysia.
  • Abdul Halim Abdullah Sekolah Pendidikan, Fakulti Sains Sosial dan Kemanusiaan, Universiti Teknologi Malaysia (UTM) 81310 Johor Bahru, Johor, Malaysia.
Keywords: Geometri Koordinat, Geometri Satah, Geometri Analitik, Geometri Certesian, Kesukaran Pembelajaran, Kesukaran Murid, Kesilapan murid, Miskonsepsi

Abstract

Kajian naratif ini meneroka cabaran pembelajaran Geometri Koordinat dalam kalangan murid pelbagai peringkat pendidikan. Pengkaji menggunakan strategi carian sistematik terhadap artikel berkaitan dari pangkalan data akademik antara tahun 2016 hingga 2023, kecuali bagi kajian dari Malaysia pada tahun 2013 dan 2010. Dapatan kajian mendedahkan pola kesukaran yang konsisten, merentasi pelbagai konteks pendidikan dan negara. Murid sering bergelut dengan pemahaman konsep asas, kesukaran menghubungkaitkan perwakilan Algebra dan Geometri, serta ketidakmampuan mengaplikasikan pengetahuan dalam penyelesaian masalah yang melibatkan situasi sebenar. Analisis mendalam terhadap artikel yang dikumpul mendedahkan faktor-faktor penyumbang yang kompleks seperti kelemahan pengetahuan sedia ada, kekurangan kemahiran visualisasi ruang dan pendekatan pengajaran yang kurang efektif. Walaupun topik ini penting dalam kurikulum dan peperiksaan SPM, masih terdapat kekurangan penyelidikan khusus mengenai topik ini di Malaysia. Penemuan ini membuka ruang untuk penyelidikan lanjut yang kritikal, terutamanya dalam konteks tempatan. Kajian ini bukan sahaja menyoroti cabaran semasa, tetapi juga mencadangkan arah tuju masa depan dalam pengembangan strategi pembelajaran yang inovatif. Dengan mengambil kira kepelbagaian gaya pembelajaran dan kemajuan teknologi pendidikan, kajian ini menawarkan perspektif baharu dalam merancang intervensi pendidikan yang tepat dan berkesan. Penemuan ini bukan sahaja relevan untuk pendidik dan pembuat dasar, bahkan juga membuka laluan untuk penyelidikan lanjut yang berpotensi mengubah landskap pembelajaran dan pemudahcaraan Geometri Koordinat.

Downloads

Download data is not yet available.

References

Acosta-Portilla, G., Sánchez-Guerrero, J., Guillermo-Zambrano, R., & Haro-Velasteguí, A. (2023). Use of learning and knowledge technologies (LKT) to dynamize the learning of analytic geometry in high school students. In Developments and Advances in Defense and Security: Proceedings of MICRADS 2022 (pp. 129-140). Springer. https://doi.org/10.1007/978-981-19-7689-6_12

Aifama, R., & Nizar, H. (2022). Kemampuan representasi matematis siswa kelas viii di Pondok Pesantren Salafiah Al-Falah Putak pada materi koordinat kartesius. In JEMST (Jurnal of Education in Mathematics, Science, and Technology), 5(2), 72-81. http://jemst.ftk.uinjambi.ac.id/

Andira, A., & Syam, H. (2022). Exploring of students' ability to solve geometry problems based on Van Hiele's Level Of Thinking. ETDC: Indonesian Journal of Research and Educational Review, 1(2), 192-200. https://doi.org/10.51574/ijrer.v1i2.181

Asmar, A., & Delyana, H. (2020). Analysis of student error in completion analytical geometry problems in circle and sphere material. Journal of Physics: Conference Series, 1554(1), 012037). https://doi.org/10.1088/1742-6596/1554/1/012037

Banele, S. D., & Deus, D. (2023). Using non-digital games for coordinate geometry algorithm realism. Open Journal of Social Sciences, 11(3), 23-40. https://doi.org/10.4236/jss.2023.113003

Bete, H., Simarmata, J. E., & Naimnule, M. (2022). Analisis kesalahan mahasiswa dalam menyelesaikan soal geometri analitik materi persamaan garis berdasarkan teori newman. Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika, 5(1), 546-558. https://doi.org/10.30606/absis.v5i1.1432

Ancheta, C. M. D. (2022). An error analysis of students’ misconceptions and skill deficits in pre-calculus subjects. Journal for Educators, Teachers and Trainers, 13(5), 283-295. https://doi.org/10.47750/jett.2022.13.05.026

Dimitrić, R. (2018). Feedback from students' errors as a tool in teaching. Mathematics Teaching-Research Journal, 10(1), 64-91. https://mtrj.commons.gc.cuny.edu/

Duma’, S. Y., Sa’dijah, C., Hidayanto, E., & Irawati, S. (2023). Analytic geometry problems are completed by symbolic visualization of representation: A case of a future teacher. Journal of Higher Education Theory and Practice, 23(20), 55–64. https://doi.org/10.33423/jhetp.v23i20.6715

Hendrayanto, D. N., Riyadi, R., & Indriati, D. (2022). Dominant factor were caused eight grade students errors in solving on cartesian coordinate multistep routine and non-routine modification story problems. JTAM (Jurnal Teori Dan Aplikasi Matematika), 6(2), 354. https://doi.org/10.31764/jtam.v6i2.7313

Hua, X., Tang, M., Sun, S., & Han, Z. (2019). Inquiry into mathematics teaching in senior high school—taking “planar analytic geometry” as an example. In 3rd International Seminar on Education Innovation and Economic Management (SEIEM 2018) (pp. 312-315). Atlantis Press. https://doi.org/10.2991/seiem-18.2019.81

Ibrahim, N., & Sa'adah, N. M. (2016). Kefahaman dan kesilapan pelajar dalam pembelajaran topik pembezaan tingkatan empat (Doctoral dissertation, Universiti Pendidikan Sultan Idris). UPSI Institutional Repository. https://ir.upsi.edu.my/detailsg.php?det=2295

Imswatama, A., & Muhassanah, N. (2016). Analisis Kesalahan Mahasiswa Dalam Menyelesaikan Soal Geometri Analitik Bidang Materi Garis Dan Lingkaran. Suska Journal of Mathematics Education, 2(1), 1. https://doi.org/10.24014/sjme.v2i1.1368

Jensen, E. O., & Hanghøj, T. (2019). Math in Minecraft: Changes in students’ mathematical identities when overcoming in-game challenges. Proceedings of the European Conference on Games-Based Learning, 355–362. https://doi.org/10.34190/GBL.19.087

Kementerian Pendidikan Malaysia (KPM). (2018). Dokumen Standard Kurikulum dan Pentaksiran Matematik Tambahan Tingkatan 4 dan 5. Bahagian Pembangunan Kurikulum, Kementerian Pendidikan Malaysia (KPM).

Kementerian Pendidikan Malaysia (KPM). (2020). Laporan awal pencapaian Malaysia dalam Trends in Internasional Mathematics and Science Study (TIMSS) 2019. Kementerian Pendidikan Malaysia (KPM). https://www.moe.gov.my/storage/files/shares/Lain-lain/TIMSS2019/matematik2019/index.html#/reader

Kementerian Pendidikan Malaysia (KPM). (2023). Laporan awal pencapaian Malaysia dalam Programme for International Student Assessment (PISA) 2022. Kementerian Pendidikan Malaysia (KPM). https://www.moe.gov.my/storage/files/shares/Lain-lain/PISA/laporan-awal-pencapaian-malaysia-pisa-2022.pdf

Khalil, M., Farooq, R. A., Çakıroğlu, E., Khalil, U., & Khan, D. M.. The development of mathematical achievement in analytic geometry of grade-12 students through geogebra activities. EURASIA Journal of Mathematics, Science and Technology Education, 14(4), 1453–1463. https://doi.org/10.29333/ejmste/83681

Lembaga Peperiksaan Malaysia (LPM). (2021). Kupasan mutu jawapan Sijil Pelajaran Malaysia tahun 2021: Matematik Tambahan 3472. Kementerian Pendidikan Malaysia. Lembaga Peperiksaan Malaysia (LPM). http://lp.moe.gov.my/index.php/kmj-spm/1192-kmj-spm-2021

Lembaga Peperiksaan Malaysia (LPM). (2022). Kupasan mutu jawapan Sijil Pelajaran Malaysia tahun 2022: Matematik Tambahan 3472. Kementerian Pendidikan Malaysia. Lembaga Peperiksaan Malaysia (LPM). http://lp.moe.gov.my/index.php/kmj-spm/1269-kupasan-mutu-jawapan-peperiksaan-sijil-pelajaran-malaysia-2022

Masfingatin, T., Lusiana, R., & Maharani, S. (2021). Analysis of student errors in solving analytic geometry questions during the Covid pandemic 19. In Proceedings of the 2nd International Conference on Progressive Education (ICOPE 2020), 241-245. https://doi.org/10.4108/eai.16-10-2020.2305212

Mirna, M. (2018). Errors analysis of students in mathematics department to learn plane geometry. IOP Conference Series: Materials Science and Engineering, 335(1), 012116. https://doi.org/10.1088/1757-899X/335/1/012116

Muhtadi, D., Wahyudin, W., Kartasasmita, B. G., & Prahmana, R. C. I. (2022). The use of multimedia of geometry based on Van Hiele thinking theory: An alternative to improve critical thinking skill of elementary school students. International Journal of Instruction, 15(4), 247-268.

Mujiasih, Waluya, S. B., Kartono, & Mariani. (2018). Growing geometric reasoning in solving problems of analytical geometry through the mathematical communication problems to State Islamic University students. Journal of Physics: Conference Series, 983(1), 012159. https://doi.org/10.1088/1742-6596/983/1/012159

Noto, M. S., Hartono, W., & Sundawan, D. (2016). Analysis of students mathematical representation and connection on analytical geometry subject. Infinity Journal, 5(2), 99-108. https://doi.org/10.22460/infinity.v5i2.216

Nurhasanah, F., Kusumah, Y. S., Sabandar, J., & Suryadi, D. (2018). Relationship between mathematical abstraction in learning parallel coordinates concept and performance in learning analytic geometry of pre-service mathematics teachers: An investigation. Journal of Physics: Conference Series, 1013(1), 012130. https://doi.org/10.1088/1742-6596/1013/1/012130

Nyaupane, H. R. (2016). Error analysis in solving problems of coordinate geometry [Unpublished master’s thesis]. Tribhuvan University, Kathmandu, Nepal.

Ozkan, A., Ozkan, E. M., & Karapıcak, S. (2018). On the misconceptions of 10th grade students about analytical geometry. The Educational Review, USA, 2(8), 417-426. https://doi.org/10.26855/er.2018.08.002

Pratikno, H., & Sugiman. (2019). Variations of the problem-solving strategies in plane geometry of junior high school students. Journal of Physics: Conference Series, 1320(1), 012074. https://doi.org/10.1088/1742-6596/1320/1/012074

Saha, R. A., Ayub, A. F. M., & Tarmizi, R. A. (2010). The effects of geogebra on mathematics achievement: Enlightening coordinate geometry learning. Procedia - Social and Behavioral Sciences, 8, 686-693. https://doi.org/10.1016/j.sbspro.2010.12.095

Siew Shong, T., Swee Chan, K., Sengodan, V., & Jailani, N. (2013). Analisis Jenis Kesilapan Dalam Pembelajaran Geometri Koordinat (Error Analysis of Students in the Learning of Coordinate Geometry). Jurnal Pendidikan Matematik, 1(1), 19–30.

Soenarjadi, G. (2020). Profil Pemecahan Masalah Siswa Dalam Menyelesaikan Masalah Geometri Ditinjau Dari Perbedaan Jenis Kelamin Dan Gaya Belajar. Jurnal Riset Pendidikan Dan Inovasi Pembelajaran Matematika (JRPIPM), 3(2). https://doi.org/10.26740/jrpipm.v3n2.p78-91

Sugandi, A., Bernard, M., Hutajulu, M., & Chotimah, S. (2019). Overcoming student difficulties in completing analytical geometry problems in linear equation using GoeGebra scripting. In Proceedings of the 1st International Conference on Science and Technology for an Internet of Things. EAI. https://doi.org/10.4108/eai.19-10-2018.2281360

Wibawa, K. A., Payadnya, I. P. A. A., Atmaja, I. M. D., & Simons, M. D. (2020). Defragmenting structures of students’ translational thinking in solving mathematical modeling problems based on CRA framework. Beta: Jurnal Tadris Matematika, 13(2). https://doi.org/10.20414/betajtm.v13i2.327

Yu, B.-L., & Zhang, Q. (2018). Visual teaching strategies to reduce the learning difficulties in advanced algebra and analytic geometry course. Education Quarterly Reviews, 1(2), 248-253. https://doi.org/10.31014/aior.1993.01.01.26

Yusupova, A. K., & Tokhtasinova, N. I. (2022). Typical Mistakes Of Students In Analytical Geometry And Diagnostics Of The Causes Of Errors. Current Research Journal Of Pedagogics, 03(01), 1–8. https://doi.org/10.37547/pedagogics-crjp-03-01-01

Published
2024-08-29
How to Cite
Baharudin, B. and Abdullah, A. H. (2024) “Cabaran Kognitif dalam Pembelajaran Geometri Koordinat: Suatu Sorotan Literatur Komprehensif”, Malaysian Journal of Social Sciences and Humanities (MJSSH), 9(8), p. e002945. doi: 10.47405/mjssh.v9i8.2945.
Section
Articles