Main Article Content
Abstract
Fraction learning has gained significant attention in mathematics education research, with a growing body of literature addressing the instructional challenges inherent in teaching fractions effectively. Establishing a solid conceptual foundation in fractions is critical to fostering broader mathematical proficiency, yet many students continue to struggle with core fractional concepts. This study addresses these issues by integrating a real-world context—Musi Rawas tourism—into fraction instruction, targeting pre-service elementary teachers enrolled in an elementary mathematics education program. Adopting a design research methodology, specifically a validation study, the study progresses through three structured phases: preliminary design, design experiments (encompassing pilot and teaching experiments), and retrospective analysis. Data collection involved teaching materials, observational checklists, and documentation to capture the instructional dynamics and learning outcomes. The study’s primary contribution is a localized instructional theory for teaching fractions within a tourism context, organized across five progressive learning activities: problem identification in the Gegas Water Lake tourism setting, contextual model development, model-based problem-solving, context-specific solution formulation, and abstraction of mathematical conclusions. This framework offers an innovative pedagogical approach, illustrating the potential for enhancing fraction learning through contextualized instruction in tourism, with detailed insights into the methodology and outcomes presented in the full study.
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References
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References
Alkhateeb, M. A. (2019). Common errors in fractions and the thinking strategies that accompany them. International Journal of Instruction, 12(2), 399-416. https://doi.org/10.29333/iji.2019.12226a
Anwar, L., Budayasa, I. K., Amin, S. M., & de Haan, D. (2012). Eliciting mathematical thinking of students through Realistic Mathematics Education. Journal on Mathematics Education, 3(1), 55-70. http://dx.doi.org/10.22342/jme.3.1.620.55-70
Bailey, D. H., Hoard, M. K., Nugent, L., & Geary, D. C. (2012). Competence with fractions predicts gains in mathematics achievement. Journal of Experimental Child Psychology, 113(3), 447-455. https://doi.org/10.1016/j.jecp.2012.06.004
Braithwaite, D. W., & Siegler, R. S. (2024). A unified model of arithmetic with whole numbers, fractions, and decimals. Psychological Review, 131(2), 431–455. https://doi.org/10.1037/rev0000440
Brown, E. L., Stark, K., Vesely, C., & Choe, J. (2023). “Acting often and everywhere:” Teachers’ emotional labor across professional interactions and responsibilities. Teaching and Teacher Education, 132, 104227. https://doi.org/10.1016/j.tate.2023.104227
Bueddefeld, J., & Duerden, M. D. (2022). The transformative tourism learning model. Annals of Tourism Research, 94, 103405. https://doi.org/10.1016/j.annals.2022.103405
Bush, J. B. (2021). Software‐based intervention with digital manipulatives to support student conceptual understandings of fractions. British Journal of Educational Technology, 52(6), 2299-2318. https://doi.org/10.1111/bjet.13139
Chai, Y., Dai, B., Zhang, Y., & Wang, Y. (2024). Partnerships in educational tourism in China: a power perspective. Journal of Sustainable Tourism, 1-18. https://doi.org/10.1080/09669582.2024.2346789
Charalambous, C. Y., & Pitta-Pantazi, D. (2007). Drawing on a theoretical model to study students’ understandings of fractions. Educational Studies in Mathematics, 64, 293-316. https://doi.org/10.1007/s10649-006-9036-2
Choe, Y., & Kim, N. (2024). From the classroom to the Living Lab for developing competencies in tourism higher education. Journal of Hospitality, Leisure, Sport & Tourism Education, 35, 100511. https://doi.org/10.1016/j.jhlste.2024.100511
Dole, S., & Geiger, V. (2020). Numeracy across the curriculum: Research-based strategies for enhancing teaching and learning. Routledge. https://doi.org/10.4324/9781003116585
Domínguez, A., Saenz-de-Navarrete, J., De-Marcos, L., Fernández-Sanz, L., Pagés, C., & Martínez-Herráiz, J. J. (2013). Gamifying learning experiences: Practical implications and outcomes. Computers & Education, 63, 380-392. https://doi.org/10.1016/j.compedu.2012.12.020
Espinoza-Figueroa, F., Vanneste, D., Alvarado-Vanegas, B., Farfan-Pacheco, K., & Rodriguez-Giron, S. (2021). Research-based learning (RBL): Added-value in tourism education. Journal of Hospitality, Leisure, Sport & Tourism Education, 28, 100312. https://doi.org/10.1016/j.jhlste.2021.100312
Farrell, B. H., & Twining-Ward, L. (2004). Reconceptualizing tourism. Annals of tourism research, 31(2), 274-295. https://doi.org/10.1016/j.annals.2003.12.002
Feng, Y., & Zhao, Y. (2024). Exploring teaching pathways for deep learning and smart tourism based on project-based learning: A case study of the deep learning course at Guilin tourism university. Pacific International Journal, 7(3), 6-10. https://doi.org/10.55014/pij.v7i3.607
Freudenthal, H. (1991). Revisiting Mathematics Education: China Lectures. Kluwer Academic Publishers.
Günter, K. P., Ahnesjö, I., & Gullberg, A. (2023). “I try to encourage my students to think, read, and talk science” intelligible identities in university teachers' figured worlds of higher education biology. Journal of Research in Science Teaching, 60(6), 1195-1222. https://doi.org/10.1002/tea.21829
Hanna, G. (2020). Mathematical proof, argumentation, and reasoning. In S. Lerman (eds), Encyclopedia of Mathematics Education (pp. 561-566). Springer. https://doi.org/10.1007/978-3-030-15789-0_102
Hunt, J. H., Silva, J., & Lambert, R. (2019). Empowering students with specific learning disabilities: Jim's concept of unit fraction. Journal of Mathematical Behavior, 56(2019), 100738. https://doi.org/10.1016/j.jmathb.2019.100738
Jannah, A. F., & Prahmana, R. C. I. (2019). Learning fraction using the context of pipettes for seventh-grade deaf-mute student. Journal for the Education of Gifted Young Scientists, 7(2), 299-321. https://doi.org/10.17478/jegys.576234
Jarrah, A. M., Wardat, Y., & Gningue, S. (2022). Misconception on addition and subtraction of fractions in seventh-grade middle school students. Eurasia Journal of Mathematics, Science and Technology Education, 18(6), em2115. https://doi.org/10.29333/ejmste/12070
Johnston, O., Wildy, H., & Shand, J. (2023). Student voices that resonate–Constructing composite narratives that represent students’ classroom experiences. Qualitative Research, 23(1), 108-124. https://doi.org/10.1177/14687941211016158
Kalogeropoulos, P., Russo, J.A., & Liyanage, A. (2024). Values alignment as teacher craft for effective mathematics teaching and learning. In Y. Dede, G. Marschall, P. Clarkson (eds), Values and Valuing in Mathematics Education (pp. 149-168). Springer. https://doi.org/10.1007/978-981-99-9454-0_8
Kilic, C. (2015). Analyzing pre-service primary teachers' fraction knowledge structures through problem posing. Eurasia Journal of Mathematics, Science and Technology Education, 11(6),1603–1619. https://doi.org/10.12973/eurasia.2015.1425a
Lamon, S. J. (2020). Teaching fractions and ratios for understanding: Essential content knowledge and instructional strategies for teachers. Routledge. https://doi.org/10.4324/9781003008057
Lee, J. E., & Lee, M. Y. (2023). How elementary prospective teachers use three fraction models: their perceptions and difficulties. Journal of Mathematics Teacher Education, 26(4), 455-480. https://doi.org/10.1007/s10857-022-09537-4
Lenz, K., Reinhold, F., & Wittmann, G. (2024). Topic specificity of students’ conceptual and procedural fraction knowledge and its impact on errors. Research in Mathematics Education, 26(1), 45-69. https://doi.org/10.1080/14794802.2022.2135132
Malone, T. W., & Lepper, M. R. (2021). Making learning fun: A taxonomy of intrinsic motivations for learning. In R. E. Snow, M. J. Farr (eds), Aptitude, Learning, and Instruction (pp. 223-254). Routledge. https://doi.org/10.4324/9781003163244
Marleny, A. S., Zukardi, & Putri, R. I. I. (2024). Systematic literature review: Development of PISA mathematics minimum competency assessment questions in tourism contexts. AIP Conference Proceedings, 3052(1), 020076. https://doi.org/10.1063/5.0201041
Mavrikis, M., Rummel, N., Wiedmann, M., Loibl, K., & Holmes, W. (2022). Combining exploratory learning with structured practice educational technologies to foster both conceptual and procedural fractions knowledge. Educational technology research and development, 70(3), 691-712. https://doi.org/10.1007/s11423-022-10104-0
Meryansumayeka, Putri, R. I. I., & Zulkardi. (2019). How students learn fraction through pempek lenjer context. Journal of Physics: Conference Series, 1166(1), 012028. https://dx.doi.org/10.1088/1742-6596/1166/1/012028
Misquitta, R. (2011). A review of the literature: Fraction instruction for struggling learners in mathematics. Learning Disabilities Research & Practice, 26(2), 109-119. https://doi.org/10.1111/j.1540-5826.2011.00330.x
Moyo, M., & Machaba, F.M. (2021). Grade 9 learners’ understanding of fraction concepts: Equality of fractions, numerator and denominator. Pythagoras, 42(1), a602. https://doi.org/10.4102/pythagoras.v42i1.602
Ne, L. I. (2005). Cooking With Fractions Word Problems. Scholastic. https://www.scholastic.com/content/dam/parents/migrated-assets/printables/pdfs/problem-solving-and-cooking-printable_v2.pdf
Ni, Y., & Zhou, Y. D. (2005). Teaching and learning fraction and rational numbers: The origins and implications of whole number bias. Educational Psychologist, 40(1), 27-52. https://doi.org/10.1207/s15326985ep4001_3
Olson, T. A., & Olson, M. (2013). The importance of context in presenting fraction problems to help students formulate models and representations as solution strategies. NCSM Journal of Mathematics Education Leadership, 14(2), 38-47. https://www.researchgate.net/profile/Melfried-Olson-2/publication/265599148_The_importance_of_context_in_presenting_fraction_problems_to_help_students_formulate_models_and_representations_as_solution_strategies/links/55a58e6d08ae00cf99c97ba1/The-importance-of-context-in-presenting-fraction-problems-to-help-students-formulate-models-and-representations-as-solution-strategies.pdf
Pierce, R. (2021). Decimals, Fractions, and Percentages. Math Is Fun. https://www.mathsisfun.com/decimal-fraction-percentage.html
Plomp, T. (2013). Educational design research: An introduction. In T. Plomp, N. Nieveen (eds), Educational Design Research (pp. 10-51). SLO
Prahmana, R. C. I., Sagita, L., Hidayat, W., & Utami, N. W. (2020). Two decades of realistic mathematics education research in Indonesia: A survey. Infinity Journal, 9(2), 223-246. https://doi.org/10.22460/infinity.v9i2.p223-246
Prediger, S., Quabeck, K., & Erath, K. (2022). Conceptualizing micro-adaptive teaching practices in content-specific ways: Case study on fractions. Journal on Mathematics Education, 13(1), 1–30. https://doi.org/10.22342/jme.v13i1.pp1-30
Purnomo, Y. W., Pasri, Aziz, T. A., Shahrill, M., & Prananto, I. W. (2022). Students’ failure to understand fraction multiplication as part of a quantity. Journal on Mathematics Education, 13(4), 681–702. https://doi.org/10.22342/jme.v13i4.pp681-702
Rau, M. A., & Matthews, P. G. (2017). How to make ‘more’ better? Principles for effective use of multiple representations to enhance students’ learning about fractions. ZDM, 49, 531-544. https://doi.org/10.1007/s11858-017-0846-8
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