INTEGRATION OF INDONESIAN CULTURE IN THE DIDACTIC DESIGN OF THE CONCEPT OF FRACTIONS IN ELEMENTARY SCHOOLS
Year 2023,
, 263 - 284, 31.12.2023
Irfan Fauzi
,
Andika Arisetyawan
Jiraporn Chano
Abstract
This study aims to develop a didactic design using Engklek games to teach the concept of fractions in elementary schools. This study combines a cultural approach, namely Engklek games with mathematics in the concept of fractions. This study used didactical design research, with 2 research subjects, namely 20 students in grade 5 for learning obstacles as the basis for making didactic designs, and 50 students in grade 4 to determine the impact of implementing didactic designs. Data collection techniques used are tests, interviews, and observation. The data analysis technique uses a qualitative method to see learning obstacles in students and a quantitative method (descriptive and inferential statistics) to determine the impact of didactic design implementation. Based on the results of the Mann-Whitney test that the sig. is .000, meaning that there is a difference in students' mean scores on the concept of fractions before and after the implementation of the didactic design, this indicates that there is a positive influence on students getting the implementation of the didactic design using the Engklek game on the concept of fractions in elementary schools. This research contributes to education in an effort to create effective and meaningful learning by involving real contexts in real life through elements of culture.
Supporting Institution
Mahasarakham University, Thailand
Project Number
089651884353
References
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- Bruner, J. S. (1966). Toward a theory of instruction. Harvard University Press.
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- Hastuti, I. D., Surahmat., Sutarto., & Dafik. (2020). The effect of guided inquiry learning in improving metacognitive skill of elementary school students. International Journal of Instruction, 13(4), 315-330. https://doi.org/10.29333/iji.2020.13420a
- Hughes, E. M. (2019). Point of view video modeling to teach simplifying fractions to middle school students with mathematical learning disabilities. Learning Disabilities: A Contemporary Journal, 17(1), 41-57.
Hoch, S., Reinhold, F., Werner, B, Richter-Gebert, J & Reiss, K. (2018). Design and research potential of interactive textbooks: The case of fractions. ZDM Matehematics Education, 50(5), 839-848. https://doi.org/10.1007/s11858-018-0971-z.
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- Jigyel, K., & Afamasaga-Fuata’, K. (2007). Students’ conceptions of models of fractions and equivalence. The Australian Mathematics Teacher, 63(4), 17-25.
- Juhász, A. (2021). Primary school teachers’ attitude to board-games and their board-game playing practice. Acta Didactica Napocensia, 14(1), 182-187. https://doi.org/10.24193/adn.14.1.15.
- Kaya, D., & Keşan, C. (2014). The importance of the algebraic thinking and algebraic reasoning skills for primary school students. International Journal of New Trends in Arts, Sports & Science Education (IJTASE), 3(2), 38-48.
- Linder, S. M., & Simpson, A. (2018). Towards an understanding of early childhood mathematics education: A systematic review of the literature focusing on practicing and prospective teachers. Contemporary Issues in Early Childhood, 19(3), 274-296. https://doi.org/10.1177/1463949117719553
- Lingefjärd, T., & Ahmet, G. (2022). Dynamic applets for teaching physics. Physics Teacher. https://doi.org/10.1119/10.0009421
- 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
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- 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.
- Pambudi, D. S. (2022). The effect of outdoor learning method on elementary students’ motivation and achievement in geometry. International Journal of Instruction, 15(1), 747-764. https://doi.org/10.29333/iji.2022.15143a
- Obersteiner, A., Van Dooren, W., Van Hoof, J., & Verschaffel, L. (2013). The natural number bias and magnitude representation in fraction comparison by expert mathematicians. Learning and Instruction, 28, 64–72. http://dx.doi.org/10.1016/j.learninstruc.2013.05.003.
- Payadnya, I. P. A., Suwija, I. K., & Wibawa, K. A. (2021). Analysis of students’ abilities in solving realistic mathematics problems using “what-if”-ethnomathematics instruments. Mathematics Teaching Research Journal, 13(4), 131-49.
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- Rellensmann, J., & Schukajlow, S. (2020). Does students’ interest in a mathematical problem depend on the problem’s connection to reality? An analysis of students’ interest and pre‑service teachers’ judgments of students’ interest in problems with and without a connection to reality. ZDM, 49(3), 367–378.
http://dx.doi.org/10.1007/s11858-016-0819-3.
- Riyanto, R. (2019), Designing number-based word synonyms (NBWS) game as a learning technique. Education Quarterly Reviews, 29(1), 243-250. http://dx.doi.org/10.31014/aior.1993.02.01.56.
- Schoenfeld, A. H. (1989). Explorations of students' mathematical beliefs and behavior. Journal for Research in Mathematics Education, 20(4), 338–355.
- Sezgin, S. (2016). Human and the game: Past, present, and future of games. International Congressof Educational Research. Canakkale 18 Mart University.
- Şiap, İ., & Duru, A. (2004). The ability to use geometrical models in fractions. Kastamonu Education Journal, 12(1), 89–96.
- Siegler, R. S., Duncan, G. J., Davis-Kean, P. E., Duckworth, K., Claessens, A., & Enge, M. (2012). Early predictors of high school mathematics achievement. Psychological science, 23(7), 691-697. https://doi.org/10.1177/0956797612440101.
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- Subrahmanyam, J. (2021). Does gender play a part in high school students’ interest and their application of cognitive strategies in learning mathematics?. Shanlax International Journal of Education, 9(3), 242-245. https://doi.org/10.34293/ education.v9i3.3919.
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Year 2023,
, 263 - 284, 31.12.2023
Irfan Fauzi
,
Andika Arisetyawan
Jiraporn Chano
Project Number
089651884353
References
- Akınoğlu, O., & Tandoğan, R. Ö. (2007). The effects of problem-based active learning in science education on students’ academic achievement, attitude and concept learning. Eurasia Journal of Mathematics, Science & Technology Education, 3(1), 71-81.
- Alajmi, A. (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.
- Annisa, F. (2019). Planting of discipline character education values in basic school students. International Journal of Educational Dynamics, 1(1), 107-114. https://doi.org/10.24036/ijeds.v1i1.21
- Arisetyawan, A., Suryadi, D., Herman, T., & Rahmat, C. (2014). Study of ethnomathematics: A lesson from the Baduy culture. International Journal of Education and Research, 2(10), 681-688.
- Ascher, M. (1994). Ethnomathematics: A multicultural view of mathematical ideas. Boca Raton, London, New York. Washington DC: Chapman & Hall/CRC.
- Baykul, Y. (2009). İlköğretim matematik öğretimi [Elementary mathematics teaching]. Ankara: Pegem A Publishing.
- Braithwaite, D. W., Pyke, A. A., & Siegler, R. S. (2017). A computational model of fraction arithmetic. Psychological Review, 124(5), 603–625. https://doi.org/10.1037/rev0000072.
- Brousseau, G. (2002). Theory of didactical situation in mathematics. New York, Boston, Dordrecht, London, Moscow: Kluwer Academic Publishers.
- Bruner, J. S. (1966). Toward a theory of instruction. Harvard University Press.
- Burdette, H. L., & Whitaker, R. C. (2005). Resurrecting free play in young children: looking beyond fitness and fatness to attention, affiliation, and affect. Archives of Pediatrics and Adolescent Medicine, 159(1), 46–50. https://doi.org/10.1001/archpedi.159.1.46
- Calp, Ş. (2020). Peaceful and happy schools: How to build positive learning environments. International Electronic Journal of Elementary Education, 12(4), 311-320. https://doi.org/10.26822/iejee.2020459460
- Clark, Z. K. (2019). Exploring children’s play iin early years learning environments: What are the factors that shape children’s play in the classroom?. Journal of Early Childhood Research. https://doi.org/1–13.10.1177/1476718X19849251
- Clarke, D. (2006). Fractions as division: The forgotten notion?. APMC, 11(3), 4-10.
- Deringöl, Y. (2019). Misconceptions of primary school students about the subject of fractions. International Journal of Evaluation and Research in Education (IJERE), 8(1), 29-38. https://doi.org/10.11591/ijere.v8.i1.pp29-38.
- Doğan, A., & Sir, H. K. Y. (2022). Development of primary school fourth-grade students’ fraction calculation strategies through the argumentation method. Journal of Education and Learning (EduLearn), 16(2), 262-272. http://dx.doi.org/10.11591/edulearn.v16i2.20511
- Eliustaoglu, E. (2016). Investigation of fraction schemes and models as a means to understand how sixth grade students make sense of fractions. Kent State University College and Graduate School of Education, Health, and Human Services.
- Escalera-Chávez, M. E., Ramos-Hernández, J., & Molchanova, V. S. (2021). Mathematics: an academic discipline that generate anxiety in college students. European Journal of Contemporary Education, 10(1), 35-42. http://dx.doi.org/10.13187/ejced.2021.1.35
- Fauzi, I. (2020). Desain didaktis operasi hitung Penjumlahan dan Pengurangan Pecahan di Kelas 5 Sekolah Dasar. Bandung: Universitas Pendidikan Indonesia.
- Franzoi, S. L. (2011). Psychology a discovery experience. USA: South-Western.
- Freudenthal, H. (1971). Geometry between the devil and the deep sea. Educational Studies in Mathematics, 3, 413–435.
- Gabriel, F, Coché, F., Szűcs, D., Carette, V., Rey, B. S., & Content, A. (2013). A componential view of children's difficulties in learning fractions. Developmental Psychology, 715(4), 1-12. https://doi.org/10.3389/fpsyg.2013.00715
- Giản, P. M., Bảo, Đ. Q., Tâm, T. T. T. N., & Tặc, P. V. (2021). Happy schools: perspectives and matters of organization-pedagogy in school’s building and development. International Education Studies, 14(6), 92-102. https://doi.org/10.5539/ies.v14n6p92
- Gravemeijer, K. P. E. (1994). Developing realistic mathematics education. The Nederlands, Utrecht: Freudenthal Institute.
- Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In van den Akker et al. (Eds.), Educational design research (pp. 45-85). London: Routlege.
- Harel, G. (2008). What is mathematics? A pedagogical answer to a philosophical question. In Gold, B & Simons, R. (Eds.), Proof and another dilemmas. Mathematics and philosophy (pp. 265-290). Washington: The Mathematical Association of America, Inc.
- Hariyani, M., Herman, T., Suryadi, D., & Prabawanto, S. (2022). Exploration of student learning obstacles in solving fraction problems in elementary school. International Journal of Educational Methodology, 8(3), 505-515. https://doi.org/10.12973/ijem.8.3.505
- Harun., Kartowagiran, B., & Manaf, A. (2021). Student attitude and mathematics learning success: A meta-analysis. International Journal of Instruction, 14(4), 209-222. https://doi.org/10.29333/iji.2021.14413a.
- Hastuti, I. D., Surahmat., Sutarto., & Dafik. (2020). The effect of guided inquiry learning in improving metacognitive skill of elementary school students. International Journal of Instruction, 13(4), 315-330. https://doi.org/10.29333/iji.2020.13420a
- Hughes, E. M. (2019). Point of view video modeling to teach simplifying fractions to middle school students with mathematical learning disabilities. Learning Disabilities: A Contemporary Journal, 17(1), 41-57.
Hoch, S., Reinhold, F., Werner, B, Richter-Gebert, J & Reiss, K. (2018). Design and research potential of interactive textbooks: The case of fractions. ZDM Matehematics Education, 50(5), 839-848. https://doi.org/10.1007/s11858-018-0971-z.
- Iulia & Gugoiu, T. (2006). The book of fraction. Mississauga, Ontario, Canada: Albina Way.
- Jamal, F. (2014). Analisis kesulitan belajar siswa dalam mata pelajaran matematika pada materi peluang kelas XI IPA SMA Muhammadiyah Meulaboh Johan Pahlawan. Jurnal MAJU (Jurnal Pendidikan Matematika), 1(1), 18-36.
- Jigyel, K., & Afamasaga-Fuata’, K. (2007). Students’ conceptions of models of fractions and equivalence. The Australian Mathematics Teacher, 63(4), 17-25.
- Juhász, A. (2021). Primary school teachers’ attitude to board-games and their board-game playing practice. Acta Didactica Napocensia, 14(1), 182-187. https://doi.org/10.24193/adn.14.1.15.
- Kaya, D., & Keşan, C. (2014). The importance of the algebraic thinking and algebraic reasoning skills for primary school students. International Journal of New Trends in Arts, Sports & Science Education (IJTASE), 3(2), 38-48.
- Linder, S. M., & Simpson, A. (2018). Towards an understanding of early childhood mathematics education: A systematic review of the literature focusing on practicing and prospective teachers. Contemporary Issues in Early Childhood, 19(3), 274-296. https://doi.org/10.1177/1463949117719553
- Lingefjärd, T., & Ahmet, G. (2022). Dynamic applets for teaching physics. Physics Teacher. https://doi.org/10.1119/10.0009421
- 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
- Moore, J. C. (2012). Transitional to formal operational: Using authentic research experiences to get nonscience students to think more like scientists. European Journal of Physics Education, Special Issue 2012, 1-12.
- Mulyana, E., Turmudi, & Juandi, D. (2014). Model pengembangan desain didaktis subject specific pedagogy bidang matematika melalui program Pendidikan Profesi Guru. Jurnal Pengajaran MIPA, 19(2), 141-149. http://dx.doi.org/10.18269/jpmipa.v19i2.454.
- National Council of Teachers of Mathematics. (2003). The use of technology in learning and teaching of mathematics. in: http://nctm.org/about/position_statements/position_statement_13.html.
- National Research Council. (2001). Adding it up: Helping children learn mathematics. J. Kilpatrick, J., Swafford., & B. Findell (Eds.). Mathematics Learning Study Committee: Center for Education.
- 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.
- Pambudi, D. S. (2022). The effect of outdoor learning method on elementary students’ motivation and achievement in geometry. International Journal of Instruction, 15(1), 747-764. https://doi.org/10.29333/iji.2022.15143a
- Obersteiner, A., Van Dooren, W., Van Hoof, J., & Verschaffel, L. (2013). The natural number bias and magnitude representation in fraction comparison by expert mathematicians. Learning and Instruction, 28, 64–72. http://dx.doi.org/10.1016/j.learninstruc.2013.05.003.
- Payadnya, I. P. A., Suwija, I. K., & Wibawa, K. A. (2021). Analysis of students’ abilities in solving realistic mathematics problems using “what-if”-ethnomathematics instruments. Mathematics Teaching Research Journal, 13(4), 131-49.
- Powell, A.B., & Frankenstein, M. (1997). Ethnomathematics: Challenging eurocentrism in mathematics education. New York: State University of New York Press, Albany.
- Rellensmann, J., & Schukajlow, S. (2020). Does students’ interest in a mathematical problem depend on the problem’s connection to reality? An analysis of students’ interest and pre‑service teachers’ judgments of students’ interest in problems with and without a connection to reality. ZDM, 49(3), 367–378.
http://dx.doi.org/10.1007/s11858-016-0819-3.
- Riyanto, R. (2019), Designing number-based word synonyms (NBWS) game as a learning technique. Education Quarterly Reviews, 29(1), 243-250. http://dx.doi.org/10.31014/aior.1993.02.01.56.
- Schoenfeld, A. H. (1989). Explorations of students' mathematical beliefs and behavior. Journal for Research in Mathematics Education, 20(4), 338–355.
- Sezgin, S. (2016). Human and the game: Past, present, and future of games. International Congressof Educational Research. Canakkale 18 Mart University.
- Şiap, İ., & Duru, A. (2004). The ability to use geometrical models in fractions. Kastamonu Education Journal, 12(1), 89–96.
- Siegler, R. S., Duncan, G. J., Davis-Kean, P. E., Duckworth, K., Claessens, A., & Enge, M. (2012). Early predictors of high school mathematics achievement. Psychological science, 23(7), 691-697. https://doi.org/10.1177/0956797612440101.
- Snounu, Y. (2019). Disability and higher education in Palestine. Journal of Culture and Values in Education, 2(3), 61-78. https://doi.org/10.46303/jcve.03.02.4
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