High school students' modeling abilities in arithmetic sequences using body weight contexts
Abstract
Background: Mathematical modeling is an important skill in mathematics education, helping students use math to solve real-world problems. Teaching and assessing this skill can be challenging, especially when students need to apply algebraic concepts in their models.
Aim: This study aims to assess the ability of high school students to model mathematical problems related to weight changes using arithmetic sequences. The focus is on how well students can understand the problem, identify relevant mathematical concepts, apply these concepts, and explain their results.
Method: The study involved 28 high school students who were given two open-ended modeling tasks. A qualitative descriptive approach was used to analyze how students performed in four key stages of mathematical modeling: understanding the problem, identifying mathematical concepts, applying mathematical procedures, and explaining the results.
Results: The results showed that 79% of the students reached the minimum proficiency level in mathematical modeling. Students performed very well in understanding the problem (94.05%) and identifying relevant mathematical concepts (90.48%), but had more difficulty in applying these concepts, especially in algebraic calculations (71.43%). This suggests that more attention is needed in teaching algebra within modeling tasks.
Conclusion: The study highlights the benefits of using real-world contexts to improve students' mathematical modeling skills. However, it also points out the need to strengthen students' understanding of algebra to help them apply mathematical concepts more effectively. Integrating more mathematical modeling into the curriculum could better prepare students to solve complex real-world problems.
Keywords
Full Text:
PDFReferences
Arseven, A. (2015). Mathematical Modelling Approach in Mathematics Education. Universal Journal of Educational Research, 3(12). https://doi.org/10.13189/ujer.2015.031204
Asempapa, R. S., & Sturgill, D. J. (2019). Mathematical Modeling: Issues and Challenges in Mathematics Education and Teaching. Journal of Mathematics Research, 11(5). https://doi.org/10.5539/jmr.v11n5p71
Dede, Y., Akçakın, V., & Kaya, G. (2020). Mathematical, Mathematics Educational, and Educational Values in Mathematical Modeling Tasks. ECNU Review of Education, 4(2). https://doi.org/10.1177/2096531120928089
Gunderson, E. A., Ramirez, G., Beilock, S. L., & Levine, S. C. (2012). The relation between spatial skill and early number knowledge: The role of the linear number line. Developmental Psychology, 48(5). https://doi.org/10.1037/a0027433
Hauda, N., Zulkardi, Z., & Susanti, E. (2023). Kemampuan Pemodelan Matematika Siswa pada Topik Program Linear Konteks Palembang Lamonde. Indiktika: Jurnal Inovasi Pendidikan Matematika, 6(1), 44–56. https://doi.org/10.31851/indiktika.v6i1.13116
Helland, M. H., & Nordbotten, G. L. (2021). Dietary Changes, Motivators, and Barriers Affecting Diet and Physical Activity among Overweight and Obese: A Mixed Methods Approach. International Journal of Environmental Research and Public Health, 18(20). https://doi.org/10.3390/ijerph182010582
Jannah, A. R., Setiawani, S., & Prihandini, R. M. (2023). Development of articulate storyline-based interactive learning media on arithmetic sequences and series. Alifmatika: Jurnal Pendidikan Dan Pembelajaran Matematika, 5(1). https://doi.org/10.35316/alifmatika.2023.v5i1.110-128
Jung, H., Stehr, E. M., & He, J. (2019). Mathematical modeling opportunities reported by secondary mathematics preservice teachers and instructors. School Science and Mathematics, 119(6). https://doi.org/10.1111/ssm.12359
Khusna, H., & Ulfah, S. (2021). Kemampuan pemodelan matematis dalam menyelesaikan soal matematika kontekstual. Mosharafa: Jurnal Pendidikan Matematika, 10(1), 153–164. https://doi.org/10.31980/mosharafa.v10i1.649
Kı̇şı̇, Ö. (2022). On $I_sigma$ arithmetic convergence. Malaya Journal of Matematik, 09(02). https://doi.org/10.26637/mjm0903/001
Kösece, P., & Doğanay, A. (2023). Developing the Skill of Associating Mathematics with Real Life Through Realistic Mathematics Education: An Action Research. Kuramsal Eğitimbilim, 16(2). https://doi.org/10.30831/akukeg.1214339
Kurniati, E. F. (2017). Deskripsi Kemampuan Pemodelan Matematika Siswa SMP Negeri 2 Kaligondang Ditinjau dari Gaya Belajar dan Gender [PhD Thesis, UNIVERSITAS MUHAMMADIYAH PURWOKERTO]. https://repository.ump.ac.id/3759/1/Evri%20Fajar%20Kurniati_JUDUL.pdf
Liu, S., & Yang, Z. (2023). Examining the Integration of Model Concept Literacy in Mathematics Instruction for Junior High School Students. Asian Journal of Education and Social Studies, 49(4). https://doi.org/10.9734/ajess/2023/v49i41194
Loenneker, H., Becker, S., Nussbaum, S., Nuerk, H.-C., & Liepelt‐Scarfone, I. (2021). Arithmetic Errors in Financial Contexts in Parkinson’s Disease. Frontiers in Psychology, 12. https://doi.org/10.3389/fpsyg.2021.629984
Maulani, V. A., Muslim, S. R., & Apiati, V. (2022). Analisis Kemampuan Pemodelan Matematika Peserta Didik Ditinjau dari Gaya Berpikir Gregorc. Jurnal Kongruen, 1(3), 266–271.
Mestrinho, N., & Cavadas, B. (2018). Innovation in Teacher Education: An Integrative Approach to Teaching and Learning Science and Mathematics. The 2nd Innovative and Creative Education and Teaching International Conference, 105. https://doi.org/10.3390/proceedings2211343
Mullis, I. V., Martin, M. O., Foy, P., Kelly, D. L., & Fishbein, B. (2020). TIMSS 2019 international results in mathematics and science. Boston College, TIMSS & PIRLS International Study Center. https://www.skolporten.se/app/uploads/2020/12/timss-2019-highlights-1.pdf
Nurhanurawati, N., Caswita, C., Bharata, H., & Widyastuti, W. (2022). The analysis of junior high school students’ mathematical literacy: Field study in Bandar Lampung. Al-Jabar : Jurnal Pendidikan Matematika, 13(1). https://doi.org/10.24042/ajpm.v13i1.11659
OECD. (2019). PISA 2018 assessment and analytical framework. OECD publishing.
Peng, Y. (2022). A Comparative Study of Mathematical Modeling of Senior Middle School in China, German and the United States. Proceedings of the 2nd International Conference on Education: Current Issues and Digital Technologies (ICECIDT 2022). https://doi.org/10.2991/978-2-494069-02-2_46
Pistelli, M., Natalucci, V., Scortichini, L., Agostinelli, V., Lenci, E., Crocetti, S., Merloni, F., Bastianelli, L., Taus, M., Fumelli, D., Giulietti, G., Cola, C., Capecci, M., Serrani, R., Ceravolo, M. G., Ricci, M., Nicolai, A., Barbieri, E., Nicolai, G., … Berardi, R. (2021). The Impact of Lifestyle Interventions in High-Risk Early Breast Cancer Patients: A Modeling Approach from a Single Institution Experience. Cancers, 13(21). https://doi.org/10.3390/cancers13215539
Pratikno, H. (2019). Analisis kompetensi pemodelan matematika siswa SMP pada kategori kemampuan matematika berbeda. Prosiding Konferensi Nasional Penelitian Matematika Dan Pembelajarannya. https://proceedings.ums.ac.id/index.php/knpmp/article/view/1924
Pugacheva, N., Kirillova, T., Kirillova, O., Lunev, A., & Pavlova, O. (2020). Forming the Basic Mathematical Knowledge among Technical Students. International Journal of Emerging Technologies in Learning (iJET), 15(03). https://doi.org/10.3991/ijet.v15i03.11686
Rosmawati, L. (2020). Analisis kemampuan pemodelan matematika siswa kelas X MA Al-Intishor ditinjau dari gaya belajar [PhD Thesis, UIN Mataram]. https://etheses.uinmataram.ac.id/223/
SABATINI, F. Z. (2018). Deskripsi kemampuan pemodelan matematika ditinjau dari prestasi belajar siswa SMA Muhammadiyah Bumiayu [PhD Thesis, UNIVERSITAS MUHAMMADIYAH PURWOKERTO]. https://repository.ump.ac.id/8884/
Zhang, X., Räsänen, P., Koponen, T., Aunola, K., Lerkkanen, M.-K., & Nurmi, J.-E. (2017). Knowing, applying, and reasoning about arithmetic: Roles of domain-general and numerical skills in multiple domains of arithmetic learning. Developmental Psychology, 53(12). https://doi.org/10.1037/dev0000432
DOI: http://dx.doi.org/10.24042/ajpm.v15i2.19372
Refbacks
- There are currently no refbacks.
Indexed by:
Al-Jabar : Jurnal Pendidikan Matematika is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.