Enumeration rules and numeracy problems in tourism activities
DOI:
https://doi.org/10.30862/jhm.v8i3.980Keywords:
Enumeration Rules, Exploration Study, Kerinci Tourism, Numeracy Problems, Tourism ContextAbstract
School mathematics is designed to equip students with foundational mathematical knowledge while simultaneously fostering mathematical literacy, including numeracy, essential for effective problem-solving. Achieving these objectives requires students to engage with mathematics through contexts that are relevant to their prior knowledge and lived experiences, thereby facilitating a more meaningful mastery of mathematical concepts and literacies. The tourism sector offers a rich context for such engagement, presenting opportunities to connect enumeration rules and numeracy with real-world scenarios. This study investigates the integration of enumeration rules and numeracy through tourism-based learning activities situated in Kerinci, Jambi. The aim is to inform the development of learning resources that are locally relevant and reflect the authentic experiences of students. Employing an exploratory qualitative methodology, this research involved field observations and semi-structured interviews with local tourism practitioners and mathematics educators. Thematic analysis was conducted to identify genuine tourism-related activities in Kerinci that illustrate the application of enumeration principles and numeracy skills. Findings indicate that a range of tourism activities including selecting transportation modes, accommodations, destinations, travel routes, and tourist attractions are inherently linked to enumeration (determining the number of possible choices) and numeracy (applying quantitative reasoning to make optimal decisions). By situating enumeration and numeracy within everyday tourism practices, this study demonstrates how local contexts can enhance mathematics instruction. The results provide a foundation for future design research focused on developing and evaluating instructional trajectories that incorporate local tourism scenarios into mathematics teaching, particularly regarding enumeration and numeracy concepts.
References
Ainley, J., Pratt, D., & Hansen, A. (2006). Connecting engagement and focus in pedagogic task design. British Educational Research Journal, 32(1), 23–38. https://doi.org/10.1080/01411920500401971
Anney, V. N. (2014). Ensuring the quality of the findings of qualitative research: Looking at trustworthiness criteria. Journal of Emerging Trends in Educational Research and Policy Studies (JETERAPS), 5(2), 272–281. https://www.scholarlinkinstitute.org/jeteraps/articles/Ensuring%20The%20Quality%20Of%20The%20Findings%20new.pdf
Arthur, Y. D., Owusu, E. K., Asiedu-Addo, S., & Arhin, A. K. (2018). Connecting mathematics to real life problems: A teaching quality that improves students’ mathematics interest. IOSR Journal of Research & Method in Education, 8(4), 65-71. https://www.iosrjournals.org/iosr-jrme/papers/Vol-8%20Issue-4/Version-2/J0804026571.pdf
Artigue, M. (2009). Didactical design in mathematics education. ICMI Study Series, 55–74. https://hal.science/hal-00834054v2/file/ICMI_STudy_22_proceedings_2013-FINAL_V2.pdf
Bakker, A. (2018). Design research in education: A practical guide for early career researchers. Routledge. https://doi.org/10.4324/9780203701010
Blum, W., & Ferri, R. B. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45–58.
Blum, W., & Leiss, D. (2007). How do students and teachers deal with modelling problems. Mathematical modelling (ICTMA 12): Education, engineering and economics, 222-231. https://doi.org/10.1533/9780857099419.5.221
Blum, W., Galbraith, P., Henn, H.-W., & Niss, M. (Eds.). (2007). Modelling and applications in mathematics education. Springer. https://doi.org/10.1007/978-0-387-29822-1
Boaler, J. (1993). The role of contexts in the mathematics classroom: Do they make mathematics more "real"? For the Learning of Mathematics, 13(2), 12–17. https://flm-journal.org/Articles/5456B6E86646C379524F75BCA9D7EE.pdf
Boaler, J. (1998). Open and closed mathematics: Student experiences and understandings. Journal for Research in Mathematics Education, 29(1), 41–62. https://doi.org/10.5951/jresematheduc.29.1.0041
Boaler, J. (2016). Mathematical Mindsets: Unleashing Students’ Potential through Creative Math, Inspiring Messages and Innovative Teaching. Jossey-Bass.
Chan, C. M. E. (2013). Students’ Designing an Ideal Tourism Route as Mathematical Modelling. In Stillman, G., Kaiser, G., Blum, W., Brown, J. (eds) Teaching Mathematical Modelling: Connecting to Research and Practice. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer. https://doi.org/10.1007/978-94-007-6540-5_13
Creswell, J. W., & Poth, C. N. (2018). Qualitative inquiry and research design: Choosing among five approaches (4th ed.). SAGE Publications.
de Lange, J. (2003). Mathematics for literacy. In B. L. Madison, & L. A. Steen (Eds.), Quantative literacy. Why numeracy matters for schools and colleges (pp. 75-89). National Council on Education and the Discipline. https://www.statlit.org/pdf/2003-Steen-Madison-QL-Why-Numeracy-Matters.pdf
Denzin, N. K. (2012). Triangulation 2.0. Journal of Mixed Methods Research, 6(2), 80–88. https://doi.org/10.1177/1558689812437186
English, L.D. (2009). Promoting interdisciplinarity through mathematical modelling. ZDM Mathematics Education, 41, 161–181. https://doi.org/10.1007/s11858-008-0106-z
English, L. D. (2006). Mathematical modeling in the primary school: Children’s construction of a consumer guide. Educational Studies in Mathematics, 63, 303–323. https://doi.org/10.1007/s10649-005-9013-1
Ferri, R. B. (2018). Learning how to model in school and teacher education. Springer. https://doi.org/10.1007/978-3-319-68072-9
Freudenthal, H. (1991). Revisiting mathematics education: China lectures. Springer. https://doi.org/10.1007/0-306-47202-3
Gainsburg, J. (2008). Real-world connections in secondary mathematics teaching. Journal of Mathematics Teacher Education, 11(3), 199–219. https://doi.org/10.1007/s10857-007-9070-8
Gal, I., & Tout, D. (2014). Comparison of PIAAC and PISA frameworks for numeracy and mathematical literacy. OECD Publishing. https://doi.org/10.1787/5jz3wl63cs6f-en
Gravemeijer, K. (1994). Developing realistic mathematics education. Utrecht: Freudenthal Institute. https://www.fisme.science.uu.nl/publicaties/literatuur/1994_gravemeijer_dissertation_0_222.pdf
Gravemeijer, K., & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1), 111–129. https://doi.org/10.1023/A:1003749919816
Gravemeijer, K., & Terwel, J. (2000). Hans Freudenthal: A mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777–796. https://doi.org/10.1080/00220270050167170
Kaiser, G., & Willander, T. (2005). Development of mathematical literacy: Results of an empirical study. Teaching Mathematics and its Applications: An International Journal of the IMA, 24(2-3), 48–60. https://doi.org/10.1093/teamat/hri016
Lesh, R., & Doerr, H. M. (Eds.). (2003). Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching. Routledge. https://doi.org/10.4324/9781410607713
Lincoln, Y. S., & Guba, E. G. (1985). Naturalistic inquiry. SAGE Publications.
Maass, K. (2006). What are modelling competencies? ZDM, 38(2), 113–142. https://doi.org/10.1007/BF02655885
Merriam, S. B., & Tisdell, E. J. (2016). Qualitative research: A guide to design and implementation (4th ed.). Jossey-Bass.
Niss, M. A. (2003, January). Mathematical competencies and the learning of mathematics: the Danish KOM project. In 3rd Mediterranean Conference on Mathematical Education (pp. 116-124).
OECD. (2018). PISA 2018 assessment and analytical framework. OECD Publishing.
OECD. (2021). PISA 2022 Mathematics Framework. OECD Publishing.
Patton, M. Q. (2015). Qualitative research and evaluation methods (4th ed.). SAGE Publications.
Posamentier, A. S., & Krulik, S. (2008). Problem-solving strategies for efficient and elegant solutions: A resource for the mathematics teacher. Corwin Press.
Sevinc, S., & Lesh, R. (2022). Preservice mathematics teachers’ conceptions of mathematically rich and contextually realistic problems. Journal of Mathematics Teacher Education, 25(6), 667-695. https://doi.org/10.1007/s10857-021-09512-5
Schoenfeld, A. H. (1985). Mathematical problem solving. Academic Press. https://doi.org/10.1016/C2013-0-05012-8
Schoenfeld, A. H. (2002). Making mathematics work for all children: Issues of standards, testing, and equity. Educational Researcher, 31(1), 13–25. https://doi.org/10.3102/0013189X031001013
Shenton, A. K. (2004). Strategies for ensuring trustworthiness in qualitative research projects. Education for Information, 22(2), 63–75. https://doi.org/10.3233/EFI-2004-22201
Silver, E. A., Mesa, V., Morris, K. A., Star, J. R., & Benken, B. M. (2009). Teaching mathematics for understanding: An analysis of lessons submitted by teachers seeking NBPTS certification. American Educational Research Journal, 46(2), 501–531. https://doi.org/10.3102/0002831208326559
Stillman, G., Brown, J., Galbraith, P., Ng, K.E.D. (2016). Research into Mathematical Applications and Modelling. In Makar, K., Dole, S., Visnovska, J., Goos, M., Bennison, A., Fry, K. (eds) Research in Mathematics Education in Australasia 2012-2015. Springer, Singapore. https://doi.org/10.1007/978-981-10-1419-2_14
Stohlmann, M., Moore, T. J., & Roehrig, G. H. (2012). Considerations for teaching integrated STEM education. Journal of Pre-College Engineering Education Research (J-PEER), 2(1), 28–34. https://doi.org/10.5703/1288284314653
Suliman, N. A., Mohd Yusop, N., Mat Janggi, N. A., Kamaruddin, N. S. S., & Mohd Basir, N. (2024). An integer linear programming approach to the travelling salesman problem for optimizing self-drive tourist routes in Kuala Lumpur. Mathematical Sciences and Informatics Journal (MIJ), 5(1), 1-9. https://journal.uitm.edu.my/ojs/index.php/MIJ/article/view/916
van den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9–35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc
Verschaffel, L., Greer, B., & De Corte, E. (2000). Making sense of word problems. Lawrence Erlbaum Associates.
Yin, R. K. (2018). Case study research and applications: Design and methods (6th ed.). SAGE Publications.
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