Koneksi Matematis Siswa pada Tugas Matematis Berbasis Hasil Pertanian: Konteks, Konsep, dan Prosedur Matematis
DOI:
https://doi.org/10.29408/jel.v7i2.3176Keywords:
agricultural products, mathematical connection, mathematical tasksAbstract
The mathematical connection is a crucial ability possessed by vocational high school students in solving problems by their field of expertise. Agriculture is a field of expertise that requires a lot of mathematical connection skills to solve various problems. Increasing the ability of students' mathematical connections can be facilitated by the teacher by constructing mathematical tasks in the agricultural sector. This qualitative research using the case study method describes the construction of mathematical tasks based on agricultural products and the mathematical connection ability of students in solving the task. Mathematical task construction is carried out by integrating agricultural product contexts and mathematical concepts. The mathematical task was used in Grade X Agribusiness Expertise students of Agricultural Product Processing. Data retrieval of students' mathematical connection abilities was carried out through tests, observation results, answer sheets, and interviews that focused on connecting contexts with mathematical concepts, connections between mathematical concepts, and connections to mathematical procedures. The results of the student data analysis showed that the ability of mathematical connections was hampered by the ability of the connection between mathematical concepts. It is necessary to increase student's mathematical connections by constructing mathematical tasks with various mathematical concepts.
References
Baki, A., Çatlioǧlu, H., Coştu, S., & Birgin, O. (2009). Conceptions of high school students about mathematical connections to the real-life. Procedia - Social and Behavioral Sciences, 1(1), 1402–1407. https://doi.org/10.1016/j.sbspro.2009.01.247.
Bakker, A. (2014). Characterising and developing vocational mathematical knowledge. Educational Studies in Mathematics, 86(2), 151–156. https://doi.org/10.1007/s10649-014-9560-4.
Bernstein, B. (2000). Pedagogy, symbolic control and identity: Theory, research, critique (Rev. ed.). Rowman & Littlefield.
Can, D., & Özdemir, İ. E. Y. (2019). An examination of fourth-grade elementary school students’ number sense in context-based and non-context-based problems. International Journal of Science and Mathematics Education, 18, 1333-1354. https://doi.org/10.1007/s10763-019-10022-3.
Chang, Y. P., Krawitz, J., Schukajlow, S., & Yang, K. L. (2020). Comparing German and Taiwanese secondary school students’ knowledge in solving mathematical modelling tasks requiring their assumptions. ZDM - Mathematics Education, 52(1), 59–72. https://doi.org/10.1007/s11858-019-01090-4.
Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education (R. T. & F. Group (ed.)). https://doi.org/10.4324/9780203029053.
Fatimah, A. T., & Prabawanto, S. (2020). Mathematical understanding and reasoning of vocational school students in agriculture-based mathematical tasks. Journal for the Education of Gifted Young Scientists, 8(2), 701–712. https://doi.org/10.17478/jegys.702884.
Fatimah, A. T., Pramuditya, S. A., & Wahyudin, W. (2019). Imitative and creative reasoning for mathematical problem solving (in context horticultural agribusiness). Journal of Physics: Conference Series, 1157(4). https://doi.org/10.1088/1742-6596/1157/4/042092.
Fatimah, A. T., & Solihah, S. (2020). Matematika pada mata pelajaran produksi pengolahan hasil pertanian. Jumlahku Jurnal Matematika Ilmiah, 6(2), 176–187. https://doi.org/10.33222/jumlahku.v6i2.1118.
Fatimah, A. T., & Wahyudin, W. (2020). Number sense siswa SMK pada tugas matematis berbasis pertanian. Teorema: Teori dan Riset Matematika, 5(2), 133. https://doi.org/10.25157/teorema.v5i2.3322.
Fatimah, A. T., Wahyudin, W., & Prabawanto, S. (2020). The role of agricultural contextual knowledge on the mathematical understanding of vocational students. Journal of Physics: Conference Series, 1521(3). https://doi.org/10.1088/1742-6596/1521/3/032020.
FitzSimons, G. E. (2014). Commentary on vocational mathematics education: Where mathematics education confronts the realities of people’s work. Educational Studies in Mathematics, 86(2), 291–305. https://doi.org/10.1007/s10649-014-9556-0.
FitzSimons, G. E., & Björklund Boistrup, L. (2017). In the workplace mathematics does not announce itself: towards overcoming the hiatus between mathematics education and work. Educational Studies in Mathematics, 95(3), 329–349. https://doi.org/10.1007/s10649-017-9752-9.
Gronow, M., Mulligan, J., & Cavanagh, M. (2020). Teachers ’ understanding and use of mathematical structure. Mathematics Education Research Journal. https://doi.org/10.1007/s13394-020-00342-x
Hamami, Y., Lea, R., & Morris, R. L. (2020). Philosophy of mathematical practice : a primer for mathematics educators. ZDM, 52, 1113-1126. https://doi.org/10.1007/s11858-020-01159-5.
Hancock, D. R., & Algozzine, B. (2006). Doing case study research: A practical guide for beginning researchers. In Teachers College Press. https://doi.org/10.1353/csd.2007.0003.
Johnson, H. L., Coles, A., & Clarke, D. (2017). Mathematical tasks and the student: navigating “tensions of intentions†between designers, teachers, and students. ZDM - Mathematics Education, 49(6), 813–822. https://doi.org/10.1007/s11858-017-0894-0.
Kilpatrick, J. , Swafford, J., Findell, B. (2001). Adding It Up-Helping Children Learn Mathematics. National Academy Press.
Kinser-Traut, J. Y., & Turner, E. E. (2020). Shared authority in the mathematics classroom: successes and challenges throughout one teacher’s trajectory implementing ambitious practices. Journal of Mathematics Teacher Education, 23(1), 5–34. https://doi.org/10.1007/s10857-018-9410-x.
Lacroix, L. (2014). Learning to see pipes mathematically : preapprentices’ mathematical activity in pipe trades training. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-014-9534-6.
Lin, F. L., Yang, K. L., Hsu, H. Y., & Chen, J. C. (2018). Mathematics teacher educator-researchers’ perspectives on the use of theory in facilitating teacher growth. Educational Studies in Mathematics, 98(2), 197–214. https://doi.org/10.1007/s10649-018-9804-9.
Lithner, J. (2017). Principles for designing mathematical tasks that enhance imitative and creative reasoning. ZDM - Mathematics Education, 49(6), 937–949. https://doi.org/10.1007/s11858-017-0867-3.
Llinares, S. (2020). Promoting explicit connections in mathematics teaching: scopes for the teachers learning in context. Journal of Mathematics Teacher Education, 23(1), 1–4. https://doi.org/10.1007/s10857-020-09455-3.
National Council of Teachers of Mathematics. (2000). Principle and standards for school mathematics. The NCTM.
Pongsakdi, N., Kajamies, A., Veermans, K., Lertola, K., Vauras, M., & Lehtinen, E. (2020). What makes mathematical word problem solving challenging? Exploring the roles of word problem characteristics, text comprehension, and arithmetic skills. ZDM - Mathematics Education, 52(1), 33–44. https://doi.org/10.1007/s11858-019-01118-9.
Shahrill, M. (2014). Mathematics in Vocational and technical education: Investigating the relationship in engineering work related problems. July, 3282–3292.
Siswono, T. Y. E. (2015). Desain tugas untuk mengidentifikasi kemampuan berpikir kreatif siswa dalam matematika. 1–14.
Slusser, E. (2019). Counting and basic numerical skills. International Handbook of Mathematics Learning Difficulties, 521–542. https://doi.org/10.1007/978-3-319-97148-3_31.
Swanson, D., & Williams, J. (2014). Making abstract mathematics concrete in and out of school. Educational Studies in Mathematics, 86(2), 193–209. https://doi.org/10.1007/s10649-014-9536-4.
Wake, G. (2014). Making sense of and with mathematics: The interface between academic mathematics and mathematics in practice. Educational Studies in Mathematics, 86(2), 271–290. https://doi.org/10.1007/s10649-014-9540-8.
Williams, J., & Wake, G. (2007). Black boxes in workplace mathematics. Educational Studies in Mathematics, 64(3), 317–343. https://doi.org/10.1007/s10649-006-9039-z.
Yeo, J. B. W. (2017). Development of a framework to characterise the openness of mathematical tasks. International Journal of Science and Mathematics Education, 15(1), 175–191. https://doi.org/10.1007/s10763-015-9675-9.
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