Effects of Redesigned Model Eliciting Activities on Seventh Grade Students’ Mathematics Success and Students’ Views about These Activities

Mehmet Akif Karabörk, Soner Durmus


In this study, the effects of redesigned modeling activities on the academic achievement of 7th grade students and the student’s view about these activities were investigated. We use explanatory sequential mixed method design that is one of the mixed research methodology for this investigation. The quantitative part of this research established according to semi-experimental study with pre-posttest, and qualitative part of this study execute with the case study. Quantitative data were collected with multiple choice academic achievement tests, and qualitative data were collected with study papers, observation forms, forms of student’s view, and semi-structured interviews at the end of all activities. The quantitative data were analyzed with covariance analysis. Qualitative data were analyzed with content analysis. As a result, a statistically significant difference was found in favor of the experimental group on the academic achievement which influenced by modeling activities. This difference has been influenced by the presentation of the learning environment in which the students' attitudes and beliefs towards themselves and the lessons will be positively affected, and mathematical skills will be supported to increase success.


Model eliciting activities; Mathematical model; Modelling; Achievement; Student’s view

Full Text:



Altun, M., Memnun, D. S., & Yazgan, Y. (2007). The Primary School Teacher Trainees’ Skills and Opinions on Solving Non-Routine Mathematical Problems. Elementary Education Online, 6(1), 113-126.

Bardini, C., & Stacey, K. (2006, Haziran). Students’ conceptions of m and c: How to tune a linear function. Paper presented at the Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, Prague.

Biembengut, M. S. (2007). Modelling and applications in primary education. In P. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education (pp. 451-456). New York: Springer.

Bilen, N., & Ciltas, A. (2015). Evaluation of mathematical models and modeling in the fifth-grade mathematics curriculum based on teachers’ views. e-Kafkas Journal of Educational Research, 2(2), 40-54.

Blum, W. (1993). Mathematical modelling in mathematics education and instruction. In T. Breiteig (Ed.), Teaching and learning mathematics in context (pp. 3-14). Chichester: Ellis Horwood Ltd.

Blum, W., & Leiss, D. (2005). "Filling Up" The Problem of İndependence-Preserving Teacher İnterventions in Lessons With Demanding Modelling Tasks. Paper presented at the CERME 4–Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education.

Boaler, J. (2001). Mathematical modelling and new theories of learning. Teaching Mathematics and Its Applications: International Journal of the IMA, 20(3), 121-128.

Buyukozturk, S., Cakmak, E. K., Akgun, O. E., Karadeniz, S., & Demirel, F. (2014). Scientific Research Methods (Vol. 17). Ankara: Pegem Akademi.

Deniz, D., & Akgün, L. (2016). The sufficiency of high school mathematics teachers’ to design activities appropriate to Model Eliciting Activities design principles. KaraelmasJournal of Educational Sciences, 4(1), 1-14.

Disbudak, K. (2014). Modeling activities for 6th grade students' academic achievement and its impact on attitudes towards mathematics. (Unpublished Master Thesis), Gazi Üniversity, Ankara.

Doerr, H. M., & English, L. D. (2003). A modeling perspective on students' mathematical reasoning about data. Journal for Research in Mathematics Education, 34(2), 110-136.

Doruk, B. K. (2010). The Effect of Mathematical Modeling on Transferring Mathematics Into Daily Lİfe. (PhD. Thesis), Hacettepe Üniversity, Ankara.

Doruk, B. K. (2014). An Effective Tool for the Development of Communication Skills: Mathematical Modeling Activities. MATDER Journal of Mathematics Education, 1(1), 1-12.

Doruk, B. K., & Umay, A. (2011). The Effect of Mathematical Modeling on Transferring Mathematics Into Daily Lİfe. Hacettepe University Journal of Education, 41(41), 124-135.

English, L. D. (2004). Mathematical modeling in the primary school. In I. Putt, R. Faragher, & M. McLean (Eds.), Mathematics education for the third millennium: Towards 2010 (pp. 207-214). James Cook University: Mathematics Education Research Group of Australasia.

Erbas, A. K., Kertil, M., Cetinkaya, B., Alacaci, C., Cakiroglu, E., & Bas, S. (2014). Mathematical modeling in mathematics education: Basic concepts and approaches. Educational Sciences: Theory & Practice, 14(4), 1607-1627.

Galbraith, P. (2012). Models of modelling: genres, purposes or perspectives. Journal of Mathematical Modelling and application, 1(5), 3-16.

Hidiroglu, C. N., Tekin Dede, A., Kula, S., & Bukova Güzel, E. (2014). Examining students’ solutions regarding the comet problem in theframe of mathematical modeling process. Mehmet Akif Ersoy University Journal of Education Faculty, 31, 1-17.

Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM, 38(3), 302-310.

Kal, F. M. (2013). The impact of mathematical modelling activitties to the attitudes of primary school 6th grade students in solving maths problems. (Unpublished Master Thesis), Kocaeli Üniversity, Kocaeli.

Kandemir, M. A. (2011). Analysis of the effect of modelling activities on students? Affective features and thoughts on problem solving and technology. (Unpublished Doctoral Thesis), Balıkesir üniversity, Balıkesir.

Kaput, J. J. (1987). Representation systems and mathematics. Problems of representation in the teaching and learning of mathematics, 19, 26-40.

Karabork, M. A. (2016). Effects of Model Eliciting Activities on Seventh Grade Students’ Mathematics Success and Students’ Views about These Activities. (Yayınlanmamış Yüksek Lisans Tezi,), Unpublished Master Thesis, Bolu.

Karali, D., & Durmus, S. (2015). Primary School Pre-service Mathematics Teachers’ Views on Mathematical Modeling. Eurasia Journal of Mathematics, Science & Technology Education, 11(4), 803-815.

Kertil, M. (2008). Investigating problem solving ability of pre-service mathematics teachers in modeling process. (Unpublished Master Thesis), Marmara Üniversity, İstanbul.

Lesh, R., & Doerr, H. (2003). Foundations of a model and modeling perspective on mathematics teaching, learning, and problem solving. In R. Lesh & H. Doerr (Eds.), Beyond Constructivism Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching (Vol. 5, pp. 3-34). Mahwah, New Jersey: London.

MoNE. (2017a). Elementary and Midddle School Mathematics Curriculum (Elementary and Middle School Teaching Program of Mathematics (1-8. Grades). Ankara: National Education Publisher.

MoNE. (2017b). Elementary and Midddle School Mathematics Curriculum (İlkokul ve Ortaokul Matematik Dersi (1-8. sınıflar) Öğretim programı) Ankara: Milli Eğitim Bakanlığı Talim ve Terbiye Kurulu Başkanlığı Milli Eğitim Basımevi.

NCTM. (2000). Principles and standards for school mathematics (Vol. 1).

Nufus, H., & Mursalin, M. (2020). Improving Students' Problem Solving Ability and Mathematical Communication through the Application of Problem Based Learning. Electronic Journal of Education, Social Economics and Technology, 1(1), 43-48. DOI: 10.33122/ejeset.v1i1.8

Nuraina, N., & Mursalin, M. (2018). Improving Students' Mathematical Communication Skills Through Learning Start Learning Models With A Question on Pythagoras. Malikussaleh Journal of Mathematics Learning (MJML), 1(2), 44-47.

Pierce, R. U., & Stacey, K. C. (2006). Enhancing the image of mathematics by association with simple pleasures from real world contexts. ZDM, 38(3), 214-225.

Rind, A. A., & Mughal, S. H. (2020). An Analysis of Pakistan’s National Curriculum of Mathematics at Secondary level. Electronic Journal of Education, Social Economics and Technology, 1(1), 39-42. DOI: 10.33122/ejeset.v1i1.4

Sagirli, M. O. (2010). The effects of mathematical modelling method on derivative topic on secondary education students? Academic achievements and self-regulation skills. (PhD. Thesis), Atatürk Üniversity, Erzurum.

Sagirli, M. O., Kirmaci, U., & Bulut, S. (2010). The effects of mathematıcal modellıng method on secondary school students’ academıc achıevements and self-regulated learnıng skılls. Erzincan University Journal of Science and Technology, 3(2), 221-247.

Samsuriadi, S., & Imron, M. A. (2019). The Effect of Think Pair Share (TPS) Learning Model With Problem Solving Approach on the Student's Math Communication in MA DA Jarowaru. Malikussaleh Journal of Mathematics Learning (MJML), 2(1), 9-12.

Sandalci, Y. (2013). The impact of teaching algebra through mathematical modeling on 6-grade students' academic success and how they correlate mathematics with daily life. (Unpublished Master Thesis), Recep Tayyip Erdoğan Üniversity, Rize.

Schumacher, S., & Mcmillan, J. (2006). Research in Education Evidence–Based Inquiry. Boston: Pearson Education.

Stipek, D. J. (2002). Motivation to learn: From theory to practice (Vol. 5). Needham Heights: Allyn & Bacon; 4 edition

Tekin Dede, A., & Bukova Güzel, E. (2013). Examining the mathematics teachers’ design process of the Model Eliciting Activity: Obesity problem. Elementary Education Online, 12(4), 1100-1119.

Tekin Dede, A., & Bukova Güzel, E. (2014). Model elıcıtıng actıvıtıes: The theoretıcal structure and ıts example. Ondokuz mayis University Journal of Education, 33(1), 95-112.

Van De Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2012). Elemantary and Middle School Mathematics Teaching Developmentally (S. Durmus, Trans. Vol. 7). Ankara: Nobel Akademic Publications.

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.

Verschaffel, L., De Corte, E., & Vierstraete, H. (1999). Upper Elementary School Pupils' Difficulties in Modeling and Solving Nonstandard Additive Word Problems Involving Ordinal Numbers. Journal for research in mathematics education, 30(3), 265-285.

Yıldırım, A., & Şimşek, H. (2013). Qualitative Research Methods in Social Sciences. Ankara: Seckin Publication.

Yildirim, Z., & Isik, A. (2015). The effects of mathematical modelling activities to academic achievement of the fifth grade students in mathematics course. Kastamonu Journal of Education, 23(2), 581-600.

Zawojewski, J., & Lesh, R. (2003). A models and modeling perspective on problem solving. In R. Lesh, H. M. Doerr, G. Carmona, & M. Hjalmarson (Eds.), Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 317-336). New Jersey: London.

DOI: https://doi.org/10.29103/mjml.v3i2.2895

Article Metrics

 Abstract Views : 325 times
 PDF Downloaded : 112 times


  • There are currently no refbacks.

Copyright (c) 2020 Mehmet Akif Karabörk, Soner Durmus

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.


Malikussaleh Journal of Mathematics Learning (MJML) are abstracting & indexing in the following databases:


Malikussaleh Journal of Mathematics Learning (MJML) also has been listed and archives in the following databases: SHERPA/RoMEO Policy, LOCKSS Archieving System, ULRICHSWEB Proquest, EZB Universitat Reqensburq, Open Science Directory by EBSCO information service and ROAD ISSN.