Abstract

This study aimed to reveal mathematical modeling processes and difficulties encountered in model-eliciting activities (MEAs) of 8th-grade students in a STEM education setting. This qualitative research is a case study conducted at a public school located in the central districts of a large province in the Mediterranean Region. The participants of the study are groups of 8th-grade middle school students in a classroom (five groups of students), which were selected with the purposeful sampling method in the 2019-2020 academic year. The student groups were applied an MEA according to a certain plan, and the students’ model-eliciting processes were recorded. Then, the participants’ modeling activity process and the cognitive activities they put forward through documents and interviews were examined by considering the stages in a mathematical modeling process. For this purpose, each group’s modeling process was analyzed qualitatively using the modeling cycle of Blum and Borromeo Ferri (2009). The results of the study revealed that these 8th-grade students faced some difficulties in the process of modeling. These difficulties were identified in 7 categories: understanding the problem, establishing a model, using mathematics, and explaining the results, - which are the four stages of the modeling process- working within a group, verifying the created model, and time management.

Highlights

  • Today, individuals with mathematical thinking, problem-solving, and mathematical modeling skills are needed in many fields, and it is not enough to memorize only mathematical operation processes and apply this method to similar problem situations (Lesh & Zawojewsky, 2007)

  • Research Design This study is a qualitative study in which the mathematical modeling/modeling processes of middle school 8th-grade students are determined with a STEM education approach using model-eliciting activity (MEA) and the difficulties that arise in this process, and the reasons are explained

  • The case to be examined in our study is a class that is divided into groups of students determined to investigate the mathematical modeling processes, describe the difficulties that arise in the process, and describe how students work on MEAs

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Summary

Introduction

Individuals with mathematical thinking, problem-solving, and mathematical modeling skills are needed in many fields, and it is not enough to memorize only mathematical operation processes and apply this method to similar problem situations (Lesh & Zawojewsky, 2007). Mathematical modeling provides students with a mathematical understanding and activities that highlight mathematical concepts (Doğan, Gürbüz, Çavuş Erdem & Şahin, 2019b; Kertil & Gürel, 2016; Sriraman & Lesh, 2006) It is important for middle school students to face reallife problems during the model-eliciting activity (MEA) process, as it is a study that makes them think about how prepared they are to solve real-world problems that they will face in their future professions or as individuals, both inside and outside of school and university (Lesh & Zawojewsky, 2007; Stansell, Tyler-Wood & Austin, 2016). It is thought that this study will make important contributions to teachers in determining what kind of role they should have in eliminating the difficulties in the process and the quality, content, and instruction of the activity to be implemented

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