Student’s obstacles in learning surface area and volume of a rectangular prism related to mathematical representation ability

Gita Safitri, Darhim Darhim, Dadan Dasari

Abstract


The surface area and volume of cubes and cuboids are mathematical concepts related to everyday life. However, many students need help learning this concept. This study aims to analyze the learning obstacles junior high school students encounter when solving mathematical representation problems on the concept of surface area and volume of cubes and cuboids. This study uses an interpretive paradigm which is part of Didactical Design Research (DDR). Students at one of the public junior high schools in Jambi City were given six questions related to mathematical representation after the researchers conducted classroom observations, which were then followed by interviews with students with high, moderate, and low representation abilities. Data analysis techniques include data reduction, display, and conclusion drawing and verification. The results showed that students experienced three learning obstacles: ontogenic, epistemological, and didactical. Furthermore, the results of this study can be a consideration for teachers to create learning designs for surface area and volume of cubes and cuboids that can anticipate student learning obstacles and develop students' mathematical representation abilities.

Keywords


Learning obstacles; Surface area of rectangular prism; Volume of rectangular prism; Mathematical representation ability

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References


Afriyani, D., Sa’Dijah, C., Subanji, S., & Muksar, M. (2019). Students’ construction error in translation among mathematical representations. Journal of Physics: Conference Series, 1157(3).

Bolden, D., Barmby, P., Raine, S., & Gardner, M. (2015). How young children view mathematical representations: A study using eye-tracking technology. Educational Research, 57(1), 59–79.

Brousseau, G. (2002). Theory of Didactical Situations in Mathematics. In Theory of didactical situations in mathematics. Kluwer Academic Publishers.

Cai, J., & Lester, F. K. (2005). Solution representations and pedagogical representations in Chinese and U.S. classrooms. Journal of Mathematical Behavior, 24(3–4), 221–237.

Candra, & Retnawati, H. (2020). A meta-analysis of constructivism learning implementation towards the learning outcomes on civic education lesson. International Journal of Instruction, 13(2), 835–846.

Creswell, J. W. (2014). Research Design: Qualitative, quantitative, and mixed method approaches (4th ed.). SAGE Publications, Inc.

Fauzi, I., & Suryadi, D. (2020). The analysis of students’ learning obstacles on the fraction addition material for five graders of elementary schools. Al Ibtida: Jurnal Pendidikan Guru MI, 7(1), 33–45.

Gazali Yuliana, R. (2016). Pembelajaran matematika yang bermakna. Math Didactic: Jurnal Pendidikan Matematika, 2(3), 181–190.

Goldin, G. A. (2014). Mathematical representations. In Encyclopedia of Mathematics Education (pp. 409–413).

Gülkılık, H., Uğurlu, H. H., & Yürük, N. (2015). Examining students’ mathematical understanding of geometric transformations using the pirie-kieren model*. Educational Sciences: Theory & Practice, 15(6), 1531–1548.

Hariyomurti, B., Prabawanto, S., & Jupri, A. (2020). Learning obstacle siswa dalam pembelajaran barisan dan deret aritmetika. Juring (Journal for Research in Mathematicas Learning), 3(3), 283–292.

Hatziminadakis, S. (2018). Students’ opportunity to learn surface area and volume in middle grades mathematics textbooks. In Dissertation Abstracts International Section A: Humanities and Social Sciences: Vol. I (11).

Indasari, M., & Ratna, M. (2019). Analisis learning obstacles siswa dalam menyelesaikan soal-soal geometri materi volume kubus dan balok. Wahana Didaktika, 17(3), 266–273.

Istiqomah, D. N., Suryadi, D., & Kusnandi. (2016). Desain didaktis konsep perbandingan segmen garis pada pembelajaran matematika SMP. In Monograf: Didactical Design Research (DDR) (pp. 88–95). RIZQI PRESS.

Miles, M. B., Huberman, A. M., & Saldana, J. (2018). Qualitative data analysis a methods sourcebook (4th ed.). SAGE Publications.

NCTM. (2000). Principles and Standards for School Mathematics. The National Council of Teachers of Mathematics.

OECD. (2018). PISA for development assessment and analytical framework. In OECD Publishing.

Pedai, S. S., Sulistiawati, & Arifin, S. (2021). The identification of students’ mistakes on mathematical communication ability in three-dimensional shapes of geometry: Cube and cuboid. AIP Conference Proceedings, 2331.

Purwadi, I. M. A., Sudiarta, I. G. P., & Suparta, I. N. (2019). The effect of concrete-pictorial-abstract strategy toward students’ mathematical conceptual understanding and mathematical representation on fractions. International Journal of Instruction, 12(1), 1113–1126.

Rachma, A. A., & Rosjanuardi, R. (2021). Students’ obstacles in learning sequence and series using onto-semiotic approach. Jurnal Pendidikan Matematika, 15(2), 115–132.

Ramli, & Prabawanto, S. (2020). Kesalahan dan learning obstacle siswa dalam menyelesaikan permasalahan matematis berdasarkan pemahaman konsep matematis. Journal for Research in Mathematics Learning) P, 3(3), 233–246.

Sianturi, T. Y. (2021). Kemampuan representasi dan pemecahan masalah matematis siswa ditinjau dari tingkat kecemasan matematika. Universitas Pendidikan Indonesia.

Sung, Y. T., Shih, P. C., & Chang, K. E. (2015). The effects of 3D-representation instruction on composite-solid surface-area learning for elementary school students. Instructional Science, 43(1), 115–145.

Suryadi, D. (2019a). Landasan filosofis penelitian desain didaktis (DDR). Gapura Press.

Suryadi, D. (2019b). Penelitian desain didaktis (DDR) dan implementasinya (A. S. Maulida (ed.)). Gapura Press.

Suryadi, D. (2010). Penelitian pembelajaran matematika untuk pembentukan karakter bangsa. Seminar Nasional Matematika dan Pendidikan Matematika Yogyakarta, 1(November), 1–14.

Tan Sisman, G., & Aksu, M. (2016). A Study on sixth grade students’ misconceptions and errors in spatial measurement: length, area, and volume. International Journal of Science and Mathematics Education, 14(7), 1293–1319.

Tekin-Sitrava, R. (2018). The nature of middle school mathematics teachers’ subject matter knowledge: The case of volume of prisms. International Journal of Educational Sciences, 74(1), 22–30.

Wahyuningrum, A. S., Suryadi, D., & Turmudi, T. (2019). Learning obstacles among indonesian eighth graders on ratio and proportion. Journal of Physics: Conference Series, 1320(1).




DOI: http://dx.doi.org/10.24042/ajpm.v14i1.16281

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