The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students

Nur Sırmacı; Zeynep Esra Uyar

doi:10.48066/kusob.1509945

EN TR

The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students

Abstract

This study is aimed at investigating the problem solving strategies of seventh-grade students in mathematical modelling. This study was carried out using case study method which is one of the qualitative research methods. In case study, model eliciting activities lasting a total of 22 lesson hours were implemented for six weeks Participants were eight students who were selected among fifteen seventh-grade students by purposive sampling method. Observation method was used in the research.Descriptive analysis was used for data analysis. The most commonly used strategy in mathematical modelling was “Establishing Equation and Inequality”. The participants never used “Working Backward.

Keywords

Mathematical modelling, problem, problem solving strategies

Ortaokul 7. Sınıf Öğrencilerinin Matematiksel Modelleme Süreçlerinde Problem Çözme Stratejilerinin İncelenmesi

Abstract

This study is aimed at investigating the problem solving strategies of seventh-grade students in mathematical modelling. This study was carried out using case study method which is one of the qualitative research methods. In case study, model eliciting activities lasting a total of 22 hours were implemented for six weeks Participants were eight students who were selected among fifteen seventh-grade students by purposive sampling method. Data collection tool observation. Descriptive analysis was used for data analysis. The most commonly used strategy in mathematical modelling was “Establishing Equation and Inequality”. The participants never used “Working Backward.

Keywords

MODELLING, MATHEMATICAL MODELLING, PROBLEM SOLVING STRATEGIES

Supporting Institution

YOK

Ethical Statement

ETİK KURALLARA UYULMUŞTUR

Thanks

EDİTÖRE TEŞEKKÜRLER

References

Altun, M.(2002).Teaching mathematics at the second level of primary education Erkam Publishing.
Ang, K. C.(2009). Mathematical modelling and real life problem solving. In B. Kaur,B.H.
Ang, K.C.(2010). Teaching and learning mathematical modelling with technology. http://atcm.mathandtech.org/ep2010/invited/3052010_18134.pdf
Arslan, Ç. & Altun, M. (2007). Learning to solve non-routine mathematical problems. Elementary Education Online, 6(1), 50-61.
Baykul, Y.(2014). Teaching mathematics in secondary school. Pegem Academy.
Berry, J. & Houston, K. (1995). Mathematical modelling. J. W. Arrowsmith Ltd.
Bukova Güzel, E. (Ed.). (2016). Mathematical modelling in mathematics education. Pegem Academy.
Çelebioğlu, B. (2009). The level of using problem solving strategies of primary school first grade students. Master’s thesis, Uludağ University.
Doruk, B. K.(2010). The effects of mathematical modelling on transferring mathematics into daily life. Phd dissertation, Hacettepe University.
Durmaz, B.(2014). Learning levels of problem solving strategies of the gifted elementary students. Phd dissertation, Uludağ University.

English, L. D.(2003). Mathematical modelling with young learners. Horwood Publishing.
English, L. D. & Watters, J. J.(2004). Mathematical modelling with young children.. Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education.
English, L. D. & Watters, J. J. (2005). Mathematical modelling in the early school years. Mathematics Education Research Journal, 16(3), 58–79.
Esteban-Guitart, M. & Moll, L. (2014). Funds of identity. A new concept based on the funds of knowledge approach. Culture & Psychology, 20(1), 31-48.
Gliner, J. A., Morgan, G. A. & Leech, N. L.(2015). Research Methods in Applied Settings An Integrated Approach To Design and Analysis. Nobel Publishing.
Greefrath, G. & Vorhölter, K. (2016). Teaching and learning mathematical modelling: approaches and developments from German speaking countries. ICME-13 Topical Surveys.
Güler, H. K. & Didiş Kabar, M. G.(2017). Investigation of middle-grade students’ problem solving processes and problem solving strategies for solving daıiy life problems. Journal Of Research in Education and Teaching, 6(4), 147-154.
Haines, C. & Crouch, R. (2007). Mathematical modelling and applications: Ability and competence frameworks. Springer.
Han, S. & Kim, H. M.(2020). Components of Mathematical Problem Solving Competence and Mediation Effects of Instructional Strategies for Mathematical Modelling. Education and Science 45(202), 93-111.
Hıdıroğlu, Ç. N. (2012). Analysing mathematical modelling problems solving processes in the technology-aided environment: An explanation on approaches and thought processes. Master’s thesis, Dokuz Eylül University.
Hıdıroğlu , Ç. N. & Hıdıroğlu,Y.Ö.(2017). Real World Problem Situation’s Models Created by 6th Grade Students in Mathematical Modelling. Elementary Education Online, 16(4), 1702-1731.
Jacobs, G. J. & Durandt, R. (2017). Attitudes of pre-service mathematics teachers towards modelling: A South African Inquiry. EURASIA Journal of Mathematics, Science and Technology Education, 13(1), 61-84.
Kal, F. M.(2013). The impact of mathematical modelling activities to the attitude of primary school 6th grade students in solving maths problems. Master’s thesis, Kocaeli University.
Keskin, Ö. Ö.(2008). A research of developıng the pre-servıce secondary mathematıcs teachers’ mathematıcal modellıng performance. Phd dissertation, Gazi University.
Lingefjärd, T. (2007). Mathematical modelling in teacher education-necessity or unnecessarily. Springer.
Lesh, R., Hoover, M., Hole, B., Kelly, A. & Post, T. (2000). Principles for developing thought-revealing activities for students and teachers. Lawrence Erlbaum Associates.
Lesh, R. & Doerr, H. M.(2003). Foundations of a models and modelling perspective on mathematics teaching, learning, and problem solving. Lawrence. Erlbaum Associates Publishers.
Ludwig, M. & Xu, B(2010).Comrarative study of modelling competencies among chinese and german students. Journal for Didactics of Mathematics, 31(1), 77-97.
Maaß, K. (2006). What are modelling competencies?. ZDM, 38(2), 113-142.
Miles, M. B. & Huberman, A. M.(1994). Qualitative data analysis: an expanded sourcebook. Sage Publications. Mousoulides, N., Christou, C. & Sriraman, B. (2008). From problem solving to modelling- A meta-analysis. https://www.researchgate.net/publication/254102378_From_Problem_Solving_to_Modelling_A_meta-analysis .
Noble, R. D.(1982). Mathematical modelling in the context of problem solving. Mathematical Modelling, 3, 215-219.
Özdemir, M.(2010). Qualİtatİve data analysis: a study on methodology problem in social sciences. Osmangazi University Journal of Social Sciences, 11(1), 323-343.
Özturan Sağırlı, M.(2010). The effects of mathematical modelling method on derıvative topic on secondary education students’ academic achievements and self-regulation skills Phd dissertation, Atatürk University.
Posamentier, A. S. & Krulik, S.(2016). Problem solving in mathematics grades 3-6. Pegem Academy.
Sağıroğlu, D.(2018). Investigation of mathematics teachers’ Processes of creating and implementing activities for mathematical modelling. Master’s thesis, Zonguldak Bülent Ecevit University.
Sandalcı, Y.(2013). The effect of teaching algebra by mathematical modelling on students' academic success and relating mathematics to daily life. Master’s thesis, Recep Tayyip Erdoğan University.
Stender, P. (2019). Heuristic strategies as a toolbox in complex modelling problems. Springer.
Stender, P. & Kaiser, G. (2017). The use of heuristic strategies in modelling activities. Proceedings of CERME 10.
Taşpınar, Z.(2011). Determining of problem solving strategies used by primary 8. grade students? in mathematics clas. Master’s thesis, Gazi University.
Taşpınar Şener, Z.(2017). The examination of preservice middle school mathematics teahers’ model eliciting activities and their opinions on the use of these activities in the teaching process Phd dissertation, Gazi University.
Tekin, A.(2012). Mathematics teachers? views concerning model eliciting activities, developmental process and the activities themselves .Master’s thesis, Dokuz Eylül University.
Thomas, G. B., Weir, M. D. & Giordano, F. R. (2004). Thomas calculus.Addison Wesley.
Ünveren, E. N.(2010). .An observİng on the candidates of the primary mathematics teachers’ attitudes towards proof in mathematical modelling process .Master’s thesis, Balıkesir University.
Van De Walle, J. A., Karp, K. S. & Bay-Williams, J. M.(2016).Elementary and middle school mathematics teaching developmentally. Nobel Academy Publishing.
Verschaffel, L., De Corte, E., Lasure, S., Van Vaerenbergh, G., Bogaerts, H. & Ratinckx, E.(1999). Learning to solve mathematical application problems: A design experiment with fifth graders. Mathematical Thinking and Learning,1(3), 195–229.
Woodward, J., Beckmann, S., Driscoll, M., Franke, M., Herzig, P., Jitendra, A & Ogbuehi, P.(2012). Improving mathematical problem solving in grades 4 through 8: A practice guide https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/mps_pg_052212.pdf
Yazgan, Y. (2007). Observations about fourth and fifth grade students’ strategies to solve non-routine problems . Elementary Education Online, 6(2), 249-263.
Yazgan, Y. &Arslan, Ç.(2017). Mathematical unconventional problem solving strategies and examples. Pegem Academy Publishing.
Zawojewski, J. S. & Lesh, R. (2003). A models and modelling perspective on problem solving. Beyond constructivism: A models & modelling perspective on mathematics problem solving, learning & teaching. Lawrence Erlbaum Associates Publishers

Details

Primary Language

English

Subjects

Mathematics Education

Journal Section

Research Article

Authors

Nur Sırmacı ^*
0000-0003-2859-3349
Türkiye

Zeynep Esra Uyar
0000-0002-5766-8832
Türkiye

Early Pub Date

December 28, 2024

Publication Date

December 31, 2024

Submission Date

July 3, 2024

Acceptance Date

December 2, 2024

Published in Issue

Year 2024 Volume: 8 Number: 2

DOI

https://doi.org/10.48066/kusob.1509945

IZ

https://izlik.org/JA86BR96JU

APA

Sırmacı, N., & Uyar, Z. E. (2024). The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students. Kuram Ve Uygulamada Sosyal Bilimler Dergisi, 8(2), 427-445. https://doi.org/10.48066/kusob.1509945

AMA

1.Sırmacı N, Uyar ZE. The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students. SSTP Journal. 2024;8(2):427-445. doi:10.48066/kusob.1509945

Chicago

Sırmacı, Nur, and Zeynep Esra Uyar. 2024. “The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students”. Kuram Ve Uygulamada Sosyal Bilimler Dergisi 8 (2): 427-45. https://doi.org/10.48066/kusob.1509945.

EndNote

Sırmacı N, Uyar ZE (December 1, 2024) The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students. Kuram ve Uygulamada Sosyal Bilimler Dergisi 8 2 427–445.

IEEE

[1]N. Sırmacı and Z. E. Uyar, “The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students”, SSTP Journal, vol. 8, no. 2, pp. 427–445, Dec. 2024, doi: 10.48066/kusob.1509945.

ISNAD

Sırmacı, Nur - Uyar, Zeynep Esra. “The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students”. Kuram ve Uygulamada Sosyal Bilimler Dergisi 8/2 (December 1, 2024): 427-445. https://doi.org/10.48066/kusob.1509945.

JAMA

1.Sırmacı N, Uyar ZE. The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students. SSTP Journal. 2024;8:427–445.

MLA

Sırmacı, Nur, and Zeynep Esra Uyar. “The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students”. Kuram Ve Uygulamada Sosyal Bilimler Dergisi, vol. 8, no. 2, Dec. 2024, pp. 427-45, doi:10.48066/kusob.1509945.

Vancouver

1.Nur Sırmacı, Zeynep Esra Uyar. The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students. SSTP Journal. 2024 Dec. 1;8(2):427-45. doi:10.48066/kusob.1509945

Bu eser Creative Commons Atıf 4.0 Uluslararası Lisansı ile lisanslanmıştır.

The Investigation of Problem Solving Strategies in Mathematical Modelling of Middle School Seventh-Grade Students

Abstract

Keywords

Ortaokul 7. Sınıf Öğrencilerinin Matematiksel Modelleme Süreçlerinde Problem Çözme Stratejilerinin İncelenmesi

Abstract

Keywords

Supporting Institution

Ethical Statement

Thanks

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite