Mathematical Modeling Competencies and Opinions of Middle School Students in Interdisciplinary Modeling Tasks

Year 2024, Issue: 62, 2904 - 2946, 30.12.2024

Zülküf Kılıç , Kemal Özgen

https://doi.org/10.53444/deubefd.1472220

Abstract

The aim of this study is to investigate middle school students' competencies towards mathematical modelling and their views on this process in a learning environment designed with interdisciplinary modelling activities. Embedded experimental mixed design was used in the study. The study lasted 15 weeks with seventh grade students with control and experimental groups, including the application process and pre-test-post-test. The data of the research were obtained from mathematical modeling tasks, pre-opinion, and post-opinion forms for mathematical modeling. In the analysis of quantitative data, Wilcoxon signed ranks test and Mann Whitney U-test; In the qualitative, content analysis and thematic analysis were used. It was determined that there was a significant difference in favour of the post-test in all other competencies except the validating competence in the pre-test-post-test modeling competencies. In the qualitative analysis of the opinions of the experimental group students, it was found that mathematical modeling was efficient in associating mathematics with other disciplines and daily life after the learning process; It has been determined that it contributes positively to their success, understanding, interest and motivation.

Keywords

Mathematical modeling, modeling competencies, connection with other disciplines, middle school students.

Ethical Statement

For the research, permission was obtained from Dicle University Educational Sciences Ethics Committee with the decision number 90871155-044 dated 03/01/2018 and Directorate of National Education. While conducting this research, attention was paid to the "Higher Education Institutions Scientific Research and Publication Ethics Directive".

Disiplinler Arası Modelleme Etkinliklerinde Ortaokul Öğrencilerinin Matematiksel Modelleme Yeterlikleri ve Görüşleri

Abstract

Bu çalışmanın amacı, disiplinler arası modelleme etkinlikleri ile tasarlanmış bir öğrenme ortamında ortaokul öğrencilerinin matematiksel modellemeye yönelik yeterliklerini ve bu süreç hakkındaki görüşlerini incelemektir. Araştırmada iç içe deneysel karma desen kullanılmıştır. Çalışma deney ve kontrol gruplu yedinci sınıf öğrencileri ile uygulama süreci ve ön test-son test olmak üzere 15 hafta sürmüştür. Araştırmanın verileri matematiksel modelleme etkinlikleri, matematiksel modellemeye yönelik ön ve son görüş formlarından elde edilmiştir. Nicel verilerin analizinde Wilcoxon işaretli sıralar testi ile Mann Whitney U-testi; nitelde ise betimsel analiz ve içerik analizi kullanılmıştır. Deney grubu öğrencilerinin ön test-son test modelleme yeterliklerinde doğrulama yeterliği hariç diğer tüm yeterliklerde son test lehine anlamlı fark oluştuğu tespit edilmiştir. Deney grubu öğrencilerinin görüşlerine yönelik nitel analizlerde ise öğrenme süreci sonrasında, matematiksel modellemenin öğrencilerin matematiği diğer disiplinler ve günlük hayat ile ilişkilendirmelerinde etkili olduğu; başarı, anlama, ilgi ve motivasyonlarına olumlu katkılar sağladığı belirlenmiştir.

Keywords

Matematiksel modelleme, modelleme yeterlikleri, farklı disiplinlerle ilişkilendirme, ortaokul öğrencileri.

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