Journal of Pedagogical Sociology and Psychology
The effect of mathematical modeling-based instruction on seventh graders’ mathematical literacy and academic performance
Özgür Özer-Demir 1, Esra Bukova-Güzel 2 *
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1 Şehit Selim Topal Middle School, İzmir, Türkiye
2 Dokuz Eylül University, Buca Faculty of Education, Department of Mathematics Education, İzmir, Türkiye
* Corresponding Author
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ARTICLE INFO

Journal of Pedagogical Sociology and Psychology, 2024 - Volume 6 Issue 3, pp. 215-232
https://doi.org/10.33902/jpsp.202432575

Article Type: Research Article

Published Online: 31 Dec 2024

Views: 60 | Downloads: 45

ABSTRACT
This study investigates the impact of mathematical modeling-based learning environments on 7th grade students' mathematical literacy and academic performance. A quasi-experimental design with pre-test and post-test control groups was employed in the study, which involved 60 middle school students enrolled in a public school. A mathematical modeling-based learning process was undertaken by the experimental group, while a mathematics instruction without modeling applications was delivered to the control group. Skills-based mathematics tests were used to evaluate students' academic performance, and a literacy scale was used to evaluate their mathematical literacy. The students in the experimental group demonstrated a statistically significant improvement in their mathematical literacy scores between the pre-test and post-test. In contrast, the students in the control group did not show a statistically significant difference between their pre-test and post-test scores. Notably, students in the experimental group advanced to the fifth and sixth levels of mathematical literacy, whereas the control group exhibited minimal change, with no students reaching these higher levels. The experimental group performed better on all skill tests in terms of academic performance. Findings suggest that seventh-grade students' mathematical literacy and academic performance are positively impacted by mathematical modeling-based learning environments. The effect of modeling-based learning environments on students' affective dimensions and process skills could be explored in future research, employing diverse research designs to provide comprehensive insights.
KEYWORDS
academic performance mathematical modeling mathematical literacy middle school
In-text citation: (Özer-Demir & Bukova-Güzel, 2024)
Reference: Özer-Demir, Ö., & Bukova-Güzel, E. (2024). The effect of mathematical modeling-based instruction on seventh graders’ mathematical literacy and academic performance. Journal of Pedagogical Sociology and Psychology, 6(3), 215-232. https://doi.org/10.33902/jpsp.202432575
In-text citation: (1), (2), (3), etc.
Reference: Özer-Demir Ö, Bukova-Güzel E. The effect of mathematical modeling-based instruction on seventh graders’ mathematical literacy and academic performance. Journal of Pedagogical Sociology and Psychology. 2024;6(3), 215-232. https://doi.org/10.33902/jpsp.202432575
In-text citation: (1), (2), (3), etc.
Reference: Özer-Demir Ö, Bukova-Güzel E. The effect of mathematical modeling-based instruction on seventh graders’ mathematical literacy and academic performance. Journal of Pedagogical Sociology and Psychology. 2024;6(3):215-32. https://doi.org/10.33902/jpsp.202432575
In-text citation: (Özer-Demir and Bukova-Güzel, 2024)
Reference: Özer-Demir, Özgür, and Esra Bukova-Güzel. "The effect of mathematical modeling-based instruction on seventh graders’ mathematical literacy and academic performance". Journal of Pedagogical Sociology and Psychology 2024 6 no. 3 (2024): 215-232. https://doi.org/10.33902/jpsp.202432575
In-text citation: (Özer-Demir and Bukova-Güzel, 2024)
Reference: Özer-Demir, Ö., and Bukova-Güzel, E. (2024). The effect of mathematical modeling-based instruction on seventh graders’ mathematical literacy and academic performance. Journal of Pedagogical Sociology and Psychology, 6(3), pp. 215-232. https://doi.org/10.33902/jpsp.202432575
In-text citation: (Özer-Demir and Bukova-Güzel, 2024)
Reference: Özer-Demir, Özgür et al. "The effect of mathematical modeling-based instruction on seventh graders’ mathematical literacy and academic performance". Journal of Pedagogical Sociology and Psychology, vol. 6, no. 3, 2024, pp. 215-232. https://doi.org/10.33902/jpsp.202432575
REFERENCES
  • Akgün, L., Çiltaş, A., Deniz, D., Çiftçi, Z., & Ahmet, I. (2013). Primary school mathematics teachers’ awareness on mathematical modelling. Adıyaman University Journal of Social Sciences Institute, 12, 1-34.
  • Altun, M., Aydın Gümüş, N., Akkaya, R., Bozkurt, İ., & Kozaklı Ülger, T. (2018). Investigation of eighth-grade students' mathematics literacy skill levels. Journal of Science, Mathematics, Entrepreneurship, and Technology Education, 1(1), 66-88.
  • Ata Baran, A. (2019). Investigation of eight grade students' mathematical communication skills, mathematical literacies and affective factors in a teaching experiment based on mathematical modelling (Publication no. 544416) [Master’s thesis, Anadolu University]. Council of Higher Education Thesis Center.
  • Blum, W., & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects—State, trends and issues in mathematics instruction. Educational studies in mathematics, 22(1), 37-68. https://doi.org/10.1007/bf00302716
  • Borremeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM, 38, 86-95. https://doi.org/10.1007/bf02655883
  • Borromeo-Ferri, R. (2010). On the influence of mathematical thinking styles on learners’ modeling behaviour. Journal für Mathematik didaktik, 3(1), 99-118. https://doi.org/10.1007/s13138-010-0009-8
  • Bukova Güzel, E., Tekin Dede, A., Hıdıroğlu, Ç. N., Kula Ünver, S., & Özaltun Çelik, A. (2016). Matematik eğitiminde matematiksel modelleme [Mathematical modelling in mathematics education]. Pegem.
  • Canbazoğlu, H. B., & Tarım, K. (2021a). A Teaching Process for Mathematical Modeling in Primary School. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi, (51), 210-225. https://doi.org/10.53444/deubefd.825361
  • Canbazoğlu, H. B., & Tarım, K. (2021b). Elementary pre-service teachers’ mathematical literacy problem posing skils and processes for developing a mathematical activity. Milli Eğitim Dergisi, 50(231), 147-172. https://doi.org/10.37669/milliegitim.743434
  • Canbazoğlu, H. B., & Tarım, K. (2023). Cognitive mathematical modelling competencies of elementary school students. SDU International Journal of Educational Studies, 10(1), 1-21. https://doi.org/10.33710/sduijes.1191490
  • Çavuş Erdem, Z., Doǧan, M. F., & Gürbüz, R. (2021). Investigation of middle school students' interdisciplinary mathematical modeling skills. Cumhuriyet International Journal of Education, 10(4), 1763-1788.
  • Demirci, G. (2018). The effect of mathematical modelling method on mathematical literacy (Publication no. 533406) [Master’s thesis, Atatürk University]. Council of Higher Education Thesis Center.
  • Dilekçi, A. (2022). Skill-based questions in Turkish education. Gazi University Journal of Education, 42(3), 2213-2232. https://doi.org/10.17152/gefad.1072936
  • Duran, B., & Bahadır, E. (2022). Thematic analysis of research on skill-based questions in mathematics education and their reflections on mathematics education. IBAD Journal of Social Sciences, 13, 538-550. https://doi.org/10.21733/ibad.1189720
  • Erbaş, A. K., Çetinkaya, B., Alacacı, C., Çakıroğlu, E., Aydoğan-Yenmez, A., Şen Zeytun, A., Korkmaz, H., Kertil, M., Gözde-Didiş, M., Baş, S., & Şahin, Z. (2016). Lise Matematik konuları için günlük hayattan modelleme soruları [Modeling questions from daily life for high school mathematics subjects]. TUBA.
  • Erdoğan, E., & Arslan, Ç. (2023). Thematic content analysis of studies on mathematical literacy in the field of mathematics education. Journal of Buca Faculty of Education, 57, 1669-1693. https://doi.org/10.53444/deubefd.1281997
  • Erol, M. (2015). The effects of mathematical modeling activities on 9th grade students' mathematical literacy and belief (Publication no. 395584) [Doctoral dissertation, Balıkesir University]. Council of Higher Education Thesis Center.
  • Frejd, P., Ärlebäck, J. B., & Vos, P. (2024). Fostering students' mathematical literacy through mathematical modelling tasks. In H. B. Oda, S. Goodchild, & M. Goos (Eds.), International perspectives on teaching and learning for mathematical literacy (pp. 178–203). Brill.
  • Galbraith, P. L., & Clatworthy, N. J. (1990). Beyond standard models—meeting the challenge of modelling. Educational Studies in Mathematics, 21(2), 137-163. https://doi.org/10.1007/bf00304899
  • Gürsakal, D. S. (2012). An evaluation of factors affecting Pisa 2009 student achievement levels. Suleyman Demirel University Journal of Faculty of Economics and Administrative Sciences, 17(1), 441-452.
  • Hıdıroğlu, Ç. N., Özaltun Çelik, A., Kula Ünver, S., & Bukova Güzel, E. (2018). Prospective mathematics teachers' actions in technology-aided mathematical modeling process: distance problem. Erzincan University Journal of Faculty of Education, 20(3), 782-809. https://doi.org/10.17556/erziefd.441732
  • Hıdıroğlu, Ç., Tekin Dede, A., Kula, S., & Bukova Güzel, E. (2014). Examining students’ solutions regarding the comet problem in the frame of mathematical modeling process. Mehmet Akif Ersoy University Journal of Faculty of Education, 1(31), 1-17.
  • Höfer, T., & Beckmann, A. (2009). Supporting mathematical literacy: examples from a cross-curricular project. ZDM, 41, 223-230. https://doi.org/10.1007/s11858-008-0117-9
  • Kabael, T., & Barak, B. (2016). Research of middle school pre-service mathematics teachers’ mathematical literacy on PISA items. Turkish Journal of Computer and Mathematics Education, 7(2), 321-349. https://doi.org/10.16949/turcomat.73360
  • Karakaş, A., & Ezentaş, R. (2021). Planning, implementation and evaluation of mathematical literacy education provided to seventh grade students. Journal of National Education, 50(232), 225-245. https://doi.org/10.37669/milliegitim.743329
  • Karluk T., & Bukova Güzel E. (2014). Karşıyaka vapur iskelesi probleminin 9. sınıf öğrencilerine uygulanması, uygulamanın ve öğrencilerin modelleme yeterliklerinin değerlendirilmesi [Application of Karşıyaka ferry pier problem to 9th grade students, and evaluation of the application and modeling competence of students] [Paper presentation]. 11. National Congress of Science and Mathematics Education, Çukurova University, Adana.
  • Kedikli, D., & Katrancı, Y. (2022). Analysis of skills-based middle school mathematics questions. Journal of Education for Life, 36(3), 673-696. https://doi.org/10.33308/26674874.2022363446
  • Kertil, M. Gülbağcı Dede H., & Gülen Ulusoy E. (2021). Skill-based mathematics questions: What do middle school mathematics teachers think about and how do they implement them?. Turkish Journal of Computer and Mathematics Education, 12(1), 151-186. https://doi.org/10.17762/turcomat.v12i1.277
  • Kertil, M., Erbaş, A. K., & Çetinkaya, B. (2017). Pre-service elementary mathematics teachers’ ways of thinking about rate of change in the context of a modeling activity. Turkish Journal of Computer and Mathematics Education, 8(1), 188-217.
  • Kozaklı Ülger, T., Bozkurt, I., & Altun, M. (2020). Thematic analysis of articles focusing on mathematical literacy in mathematics teaching-learning process. Education and Science, 45(201), 1-37. https://doi.org/10.15390/eb.2020.8028
  • Kramarski, B., & Mizrachi, N. (2004). Enhancing mathematical literacy with the use of metacognitive guidance in forum discussion. Proceedings of the International Group for the Psychology of Mathematics Education, 3, 169-176.
  • Leibowitz, D. (2016). Supporting mathematical literacy development: A case study of the syntax of introductory algebra. Interdisciplinary Undergraduate Research Journal, 2(1), 7-13.
  • Lesh, R., & Lehrer, R. (2003). Models and modeling perspectives on the development of students and teachers. Mathematical thinking and learning, 5(2-3), 109-129. https://doi.org/10.1080/10986065.2003.9679996
  • Maaß, K., & Mischo, C. (2011). Implementing modelling into day-to-day teaching practice—The project STRATUM and its framework. Journal für Mathematik-Didaktik, 32(1), 103–131. https://doi.org/10.1007/s13138-010-0015-x
  • McCrone, S.S. & Dossey, J.A. (2007). Mathematical literacy—it’s become fundamental. Principal Leadership, 7(5), 32-37.
  • Ministry of National Education [MoNE]. (2013). Ortaöğretim matematik dersi (9, 10, 11 ve 12. sınıflar) öğretim programı [Secondary school mathematics course (9, 10, 11 and 12th grades) curriculum]. Ankara.
  • Ministry of National Education [MoNE]. (2018). Matematik dersi öğretim programı (İlkokul ve Ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. Sınıflar) [Mathematics course curriculum (Primary and Secondary School 1st, 2nd, 3rd, 4th, 5th, 6th, 7th and 8th grades)]. Ankara.
  • Ministry of National Education [MoNE]. (2024). Matematik dersi öğretim programı (İlkokul ve Ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. Sınıflar) [Mathematics course curriculum (Primary and Secondary School 1st, 2nd, 3rd, 4th, 5th, 6th, 7th and 8th grades)]. Ankara.
  • National Council of Teachers of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. Author.
  • Organisation for Economic Co-operation and Development [OECD]. (2022). PISA 2021 mathematics framework. Author.
  • Organisation for Economic Co-operation and Development [OECD]. (2000). PISA 2000 assessment of reading, mathematical, and scientific literacy: Mathematical literacy. Author.
  • Organisation for Economic Co-operation and Development [OECD]. (2019). PISA 2018 assessment and analytical framework. Author. https://doi.org/10.1787/b25efab8-en
  • Özaltun Çelik, A., & Bukova Güzel, E. (2019). An instructional sequence triggering students’ quantitative reasoning during learning of quadratic functions. Turkish Journal of Computer and Mathematics Education, 10(1), 157-194. https://doi.org/10.16949/turkbilmat.446403
  • Özaltun, A., Hıdıroğlu, Ç., Kula, S., & Güzel, E. B. (2013). Representations used by mathematics student teachers in mathematical modeling process. Turkish Journal of Computer and Mathematics Education, 4(2), 66-88.
  • Özer, A. Ö., & Bukova Güzel, E. (2022). A hypothetical learning trajectory for learning exponential functions. Journal of Buca Faculty of Education, 54, 1461-1479. https://doi.org/10.53444/deubefd.1194064
  • Özgen, K., & Şeker, İ. (2021). Investigation of the skill developments of 6 th grade students in different mathematical modeling. Milli Eğitim Dergisi, 50(230), 329-358. https://doi.org/10.37669/milliegitim.680760
  • Öztürk, N., & Masal, E. (2020). The classification of math questions of central examination for secondary education institutions in terms of PISA mathematics literacy levels. Journal of Multidisciplinary Studies in Education, 4(1), 17-33.
  • Tabachnick, B. G., & Fidell, L. S. (2015). Using multivariate statistics (Çok değişkenli istatistiklerin kullanımı) (M. Baloğlu, Çev.). Nobel Yayıncılık.
  • Taşkin, E., Ezentaş, R., & Altun, M. (2018). The effects of the mathematics literacy education of the 6th grade students to mathematics literacy achievement. Kastamonu Journal of Education, 26(6), 2069-2079. https://doi.org/10.24106/kefdergi.2418
  • Tekin Dede, A. (2015). Developing students' modelling competencies in mathematics lessons: An action research study (Publication no. 395238) [Doctoral dissertation, Dokuz Eylül University]. Council of Higher Education Thesis Center.
  • Tekin Dede, A. (2017). The investigation of the relationships between modeling competencies, grade level, and mathematics achievement. Elementary Education Online, 16(3), 1201-1219. https://doi.org/10.17051/ilkonline.2017.330251
  • Uysal, E., & Yenilmez, K. (2011). The mathematics literacy level of eighth grade students. Eskişehir Osmangazi University Journal of Social Sciences, 12(2), 1-15.
  • Uzun, H., Ergene, Ö., & Masal, E. (2023). Investigation of mathematical modelling processes of fifth grade students: we are going to the mathematics village model-eliciting activity. Kocaeli University Journal of Education, 6(2), 494-521. https://doi.org/10.33400/kuje.1316782
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