The Analysis of Students’ Learning Obstacles on the Fraction Addition Material for Five Graders of Elementary Schools

Irfan Fauzi(1*), Didi Suryadi(2),


(1) Universitas Pendidikan Indonesia, Bandung.
(2) Universitas Pendidikan Indonesia, Bandung
(*) Corresponding Author

Abstract


Abstract

Various researchs have explained the students' difficulties in understanding fractions, so the researcher will analyze the student obstacle learning on fraction addition material. The approach used in this research is qualitative with the case study method. The subjects in this study were 5th grade students of Geger Kalong Girang 1-2 elementary school, Bandung City with a total of 29 students. Collecting data in this study using tests, interviews, and documentation. Data analysis uses data reduction, data display, and conclusion drawing/verification. The results of this study found that students experience 1) ontogenic obstacle caused by the students inablity to understand the picture presented so that they are not able to determine the amount of fractions; 2) epistemological obstacle caused by the inability of students to understand fractions as part of the whole and apply the wrong concept in operating fractions; and 3) didactical obstacle caused by informal teaching methods and presentation of teaching materials that did not pay attention to student involvement. This research can facilitates students in understanding fraction addition material and provides an overview to the teacher in making teaching materials and learning design about fraction addition based on learning obstacle.

Keywords: learning obstacles, fraction addition, elementary school.

 

Abstrak

Berbagai penelitian telah menjelaskan terkait dengan kesulitan siswa dalam memahami pecahan, sehingga peneliti akan menganalisis learning obstacle siswa pada materi penjumlahan pecahan. Pendekatan yang digunakan dalam penelitian ini adalah kualitatif dengan metode studi kasus. Subjek dalam penelitian ini adalah siswa kelas 5 SD Geger Kalong Girang 1-2 Kota Bandung dengan total 29 siswa. Pengumpulan data dilakukan dengan menggunakan tes, wawancara, dan dokumentasi. Adapun analisis data menggunakan reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian ini menunjukkan bahwa siswa mengalami 1) ontogenic obstacle disebabkan karena ketidakmampuan siswa dalam memahami gambar yang disajikan, sehingga tidak mampu menentukan besaran pecahan pada gambar; 2) epistemological obstacle disebabkan karena ketidakmampuan siswa dalam memahami pecahan sebagai bagian dari keseluruhan dan menerapkan konsep yang salah dalam mengoperasikan pecahan; dan 3) didactical obstacle disebabkan karena cara mengajar guru yang bersifat informal dan penyajian bahan ajar yang kurang memperhatikan keterlibatan siswa. Penelitian ini dapat memfasilitasi siswa dalam memahami materi penjumlahan pecahan dan memberikan gambaran kepada guru dalam membuat bahan ajar dan desain pembelajaran penjumlahan pecahan berdasarkan learning obstacle.

Kata kunci: learning obstacle, penjumlahan pecahan, sekolah dasar.

 


Full Text:

PDF

References


Aksoy, N. C., & Yazlik, D. O. (2017). Student Errors in Fractions and Possible Causes of These Errors. Journal of Education and Training Studies, 5(11), 219. https://doi.org/10.11114/jets.v5i11.2679.

Alajmi, A. H. (2012). How Do Elementary Textbooks Address Fractions? A Review of Mathematics Textbooks in The USA, Japan, and Kuwait. Educational Studies in Mathematics, 79(2), 239–261. https://www.jstor.org/stable/41413109.

Baykul, Y. (2009). İlköğretim Matematik Öğretimi. Ankara: Pegem A Yayıncılık.

Brosseaou, G. (2002). Theory of Didactical Situation in Mathematics. New York, Boston, Dordrecht, London, Moscow: Kluwer Academic Publishers.

Clarke, D. M., & Roche, A. (2009). Students’ fraction Comparison Strategies as a Window into Robust Understanding and Possible Pointers for Instruction. Educational Studies in Mathematics, 72(1), 127–138. https://doi.org/10.1007/s10649-009-9198-9.

Dahar, R. . (2011). Teori Belajar dan Pembelajaran. Jakarta: Erlangga.

Deringol, Y. (2018). Primary School Students’ Mathematics Motivation and Anxieties. Cypriot Journal of Educational Sciences, 13(4), 537–548. https://doi.org/10.18844/cjes.v13i4.3462.

Gabriel, F., Coché, F., Szűcs, D., Carette, V., Rey, B. ., & Content, A. (2013). A Componential View of Children’s Difficulties in Learning Fractions. Developmental Psychology, 715(4), 1–12.

Gall, M. D., Gall, J. P., & Borg, W. R. (1999). Applying Educational Research: How to Read, Do, and Use Research (6th ed.). New York: Pearson.

Gazali, R. . (2016). Pengembangan Bahan Ajar Matematika untuk Siswa SMP Berdasarkan Teori Belajar Ausubel. PYTHAGORAS: Jurnal Pendidikan Matematika, 11(2), 182–192.

Gravemeijer, K., Stephan, M., Julie, C., Lin, F. L., & Ohtani, M. (2017). What Mathematics Education May Prepare Students for the Society of the Future? International Journal of Science and Mathematics Education, 15, 105–123. https://doi.org/10.1007/s10763-017-9814-6.

Hansen, N., Jordan, N. C., & Rodrigues, J. (2017). Identifying Learning Difficulties with Fractions: A Longitudinal Study of Student Growth from Third through Sixth Grade. Contemporary Educational Psychology, 50, 45–59. https://doi.org/10.1016/j.cedpsych.2015.11.002.

Haylock, D., & Thangata, F. (2007). Key Concepts in Teaching Primary Mathematics. London, UK: SAGE Publications Ltd.

Hill, H. C., Blunk, M. L., Charalambous, C. Y., Lewis, J. M., Phelps, G. C., Sleep, L., & Ball, D. L. (2008). Mathematical Knowledge for Teaching and The Mathematical Quality of Instruction: An Exploratory Study. Cognition and Instruction, 26(4), 430–511. https://doi.org/10.1080/07370000802177235.

Ho, K. F., & Hedberg, J. G. (2005). Teachers’ Pedagogies and Their Impact on Students’ Mathematical Problem Solving. Journal of Mathematical Behavior, 24(3), 238–252.

Hoch, S., Reinhold, F., Werner, B., Richter-Gebert, J., & Reiss, K. (2018). Design and Research Potential of Interactive Textbooks: The Case of Fractions. ZDM - Mathematics Education, 50(5), 839–848. https://doi.org/10.1007/s11858-018-0971-z.

Ibda, F. (2015). Perkembangan Kognitif: Teori Jean Piaget. Jurnal Intelektualita, 3(1), 27–38.

Irfan, M. (2017). Bentuk a/b: sebagai Pecahan, Pembagian, atau Perbandingan? Jurnal Penelitian Pendidikan Dan Pengajaran Matematika, 3(1), 45–50.

Jatisunda, M. G. (2017). Pengaruh Pendekatan Konstruktivisme terhadap Pemecahan Masalah Matematik Peserta Didik. Jurnal Theorems(The Original of Mathematics), 2(1), 57–66.

Johar, R. (2013). Pengembangan Model Pembelajaran Matematika Realistik Menuju Aceh Madani (Model Pm-Rahma). Jurnal Pendidikan Matematika, 3(1), 1–10. https://doi.org/10.22342/jpm.3.1.322.

Lestari, K. E., & Mokhamad Ridwan Yudhanegara. (2015). Penelitian Pendidikan Matematika. Bandung: Refika Aditama.

Majid, A. (2013). Perencanaan Pembelajaran. Bandung: PT Remaja Rosdakarya.

Malikha, Z., & Amir, M. F. (2018). Analisis Miskonsepsi Siswa Kelas V-B MIN Buduran Sidoarjo pada Materi Pecahan ditinjau dari Kemampuan Matematika. Pi: Mathematics Education Journal, 1(2), 75–81. https://doi.org/10.21067/pmej.v1i2.2329

Markovits, Z., & Forgasz, H. (2017). “Mathematics is like a Lion”: Elementary Students’ Beliefs about Mathematics. Educational Studies in Mathematics, 96(1), 49–64. https://doi.org/10.1007/s10649-017-9759-2

Nguyen, P. L., Duong, H. T., & Phan, T. C. (2017). Identifying The Concept Fraction of Primary School Students: The Investigation in Vietnam. Educational Research and Reviews, 12(8), 531–539. https://doi.org/10.5897/err2017.3220

Nicolaou, A., & Pitta-Pantazi, D. (2016). Hierarchical Levels of Abilities that Constitute Fraction Understanding at Elementary School. International Journal of Science and Mathematics Education, 14(4), 757–776.

Nuraini, N. L. S., Suhartono, S., & Yuniawantika, Y. (2016). Kesalahan Siswa pada Operasi Penjumlahan dan Pengurangan Pecahan di Kelas VI Sekolah Dasar. Sekolah Dasar: Kajian Teori Dan Praktik Pendidikan, 25(2), 168–175. https://doi.org/10.17977/um009v25i22016p168

Prabowo, A., & Heriyanto. (2013). Analisis Pemanfaatan Buku Elektronik (E-Book) oleh Pemustaka di Perpustakaan SMA Negeri 1 Semarang. Jurnal Ilmu Perpustakaan, 2(2), 1–9. http://ejournal-s1.undip.ac.id/index.php/jip%5CnANALISIS.

Rasyid, M. A., Budiarto, M. T., & Lukito, A. (2018). Junior High School Students’ Reflective Thinking on Fraction Problem Solving: In Case of Gender Differences. Journal of Physics: Conference Series, 947(1), 1–6. https://doi.org/10.1088/1742-6596/947/1/012041

Şiap, İ., & Duru, A. (2004). The Ability to Use Geometrical Models in Fractions. Kastamonu Education Journal, 12(1), 89–96.

Suci, A., Martha, D., & Basuki, F. H. (2014). Perancangan Game Edukatif (Perhitungan Matematika Sederhana ). Jurnal Komputer Bisnis, 456, 29–34.

Sukirno, & Ramadhani, D. (2014). Analisis Learning Obstacles dalam Pembelajaran Pemecahan Masalah Penjumlahan Pecahan pada Siswa Kelas IV SD. Jurnal Pendidikan MIPA, 15(1), 77–83.

Suryadi, D. (2018a). Landasan Filosofis Penelitian Desain Didaktis (DDR). Bandung: Departemen Pendidikan Matematika UPI.

Suryadi, D. (2018b). Ontologi dan Epistemologi dalam Penelitian Desain Didaktis (DDR). Bandung: Departemen Pendidikan Matematika UPI.

Tonra, W. S. (2016). Pembelajaran Number Sense untuk Meningkatkan Hasil Belajar Siswa Sekolah Dasar pada Materi Pecahan. 5(2), 109–116.

Turmudi. (2008). Landasan Filsafat dan Teori Pembelajaran Matematika (Berparadigma Eksploratif dan Investigatif). Jakarta: Leuseur Cipta Pustaka.

Verschaffel, L., Greer, B., & Torbeyns, J. (2006). Numerical thinking. In: Gutiérrez A, Boero P (eds) Handbook of Research on The Psychology of Mathematics Education: Past, Present and Future. Rotterdam: Sense Publishers.

Wahyuni, R. S. (2017). Membandingkan Bilangan Pecahan Menggunakan Fraction Circle terhadap Pemahaman Konsep Siswa. Jurnal Gantang, 2(1), 21–26.

Widodo, S., & Kartikasari, K. (2017). Pembelajaran Pemecahan Masalah Matematis Siswa Sekolah Dasar dengan Model Creative Problem Solving (Cps). Prisma, 6(1). https://doi.org/10.35194/jp.v6i1.28.

Wijaya, A. (2017). The Relationships between Indonesian Fourth Graders’ Difficulties in Fractions and The Opportunity to Learn Fractions: A Snapshot of TIMSS Results. International Journal of Instruction, 10(4), 221–236. https://doi.org/https://doi.org/10.12973/iji.2017.10413a.




DOI: 10.24235/al.ibtida.snj.v7i1.6020

Article Metrics

Abstract view : 123 times
PDF - 86 times

Refbacks

  • There are currently no refbacks.




Copyright (c) 2022 Al Ibtida: Jurnal Pendidikan Guru MI

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

AL IBTIDA Journal Indexed By:

        

 

  

Creative Commons License

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

View My Stats

 

Al Ibtida: Jurnal Pendidikan Guru MI Published by Department of Madrasah Ibtidaiyah Teacher Education, Faculty of Tarbiyah and Teacher Training, IAIN Syekh Nurjati Cirebon In Collaboration with Perkumpulan Dosen Pendidikan Guru Madrasah Ibtidaiyah (PD PGMI) Indonesia.

Editorial Office:

FITK Building, 5th Floor, Department of Madrasah Ibtidaiyah Teacher Education, Faculty of Tarbiyah and Teacher Training, IAIN Syekh Nurjati Cirebon.  Perjuangan Street of Sunyaragi, Cirebon City, West Java, Indonesia 45132 Phone. 0231-481264, Fax. 0231-489926, Email: alibtida@syekhnurjati.ac.id/ alibtida2@gmail.com