Investigation of the Solution Processes of Social Problem-Oriented Mathematical Modelling Activity of Participants at Different Educational Levels

Amine Nur Yanar; Özkan Ergene

Makale detayları

Investigation of the Solution Processes of Social Problem-Oriented Mathematical Modelling Activity of Participants at Different Educational Levels

Yazarlar:

Amine Nur Yanar | Özkan Ergene

Yayıncı:

Bursa Uludağ University

Ana Başlıklar:

Matematik Eğitimi

Dergi:

Uludağ Üniversitesi Eğitim Fakültesi Dergisi Vol.37 Issue 3, pp.830-865

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

Türkçe

Document ID (Org No.):

2001329657

pISSN:

2667-6788

Anahtar kelimeler:

Özet:

 This study aims to examine the solution processes of participants at different educational levels in terms of their modelling competencies and the use of representations in a model-eliciting activity with a social problem focus. The research design of the study was a case study, and the participants were Anatolian and science high school students, and pre-service and in-service mathematics teachers. The data of the study were collected through a social problem-focused model-eliciting activity for medicine use. The activity was designed by the researchers and found valid and reliable. The findings indicated that most of the participants were successful in understanding the problem but had difficulties at the validating stage. In-service teachers had the highest success scores at all levels of competence, and similarly, pre-service teachers were found to have higher levels of competence than high school students. Verbal representations were used the most, while graphical representations were used the least in the process of solving the model-eliciting activity. Moreover, it was found that the higher the level of education of the participants, the higher the level of modelling competence they had. The majority of participants used a single representation in their solutions. Pre-service teachers showed the highest success in using algebraic representations. Anatolian high school students were found to be more successful in using tables compared to science high school students and pre-service teachers. The study suggests that the modelling competencies of high school students, pre-service and in-service teachers should be comparatively examined in several model-eliciting activities in different contexts.

 This study aims to examine the solution processes of participants at different educational levels in terms of their modelling competencies and the use of representations in a model-eliciting activity with a social problem focus. The research design of the study was a case study, and the participants were Anatolian and science high school students, and pre-service and in-service mathematics teachers. The data of the study were collected through a social problem-focused model-eliciting activity for medicine use. The activity was designed by the researchers and found valid and reliable. The findings indicated that most of the participants were successful in understanding the problem but had difficulties at the validating stage. In-service teachers had the highest success scores at all levels of competence, and similarly, pre-service teachers were found to have higher levels of competence than high school students. Verbal representations were used the most, while graphical representations were used the least in the process of solving the model-eliciting activity. Moreover, it was found that the higher the level of education of the participants, the higher the level of modelling competence they had. The majority of participants used a single representation in their solutions. Pre-service teachers showed the highest success in using algebraic representations. Anatolian high school students were found to be more successful in using tables compared to science high school students and pre-service teachers. The study suggests that the modelling competencies of high school students, pre-service and in-service teachers should be comparatively examined in several model-eliciting activities in different contexts.

 This study aims to examine the solution processes of participants at different educational levels in terms of their modelling competencies and the use of representations in a model-eliciting activity with a social problem focus. The research design of the study was a case study, and the participants were Anatolian and science high school students, and pre-service and in-service mathematics teachers. The data of the study were collected through a social problem-focused model-eliciting activity for medicine use. The activity was designed by the researchers and found valid and reliable. The findings indicated that most of the participants were successful in understanding the problem but had difficulties at the validating stage. In-service teachers had the highest success scores at all levels of competence, and similarly, pre-service teachers were found to have higher levels of competence than high school students. Verbal representations were used the most, while graphical representations were used the least in the process of solving the model-eliciting activity. Moreover, it was found that the higher the level of education of the participants, the higher the level of modelling competence they had. The majority of participants used a single representation in their solutions. Pre-service teachers showed the highest success in using algebraic representations. Anatolian high school students were found to be more successful in using tables compared to science high school students and pre-service teachers. The study suggests that the modelling competencies of high school students, pre-service and in-service teachers should be comparatively examined in several model-eliciting activities in different contexts.

 Bu araştırmanın amacı, farklı eğitim seviyelerindeki katılımcıların sosyo-kritik bir modelleme etkinliği çözüm süreçlerini modelleme yeterlikleri ve temsil kullanımı bağlamında incelemektir. Nitel araştırma yöntemlerinden durum çalışmasına uygun olarak yürütülen araştırmanın katılımcılarını anadolu ve fen lisesi öğrencileri, matematik öğretmeni adayları ve matematik öğretmenleri oluşturmaktadır. Araştırmanın verileri araştırmacılar tarafından tasarlanan geçerlik ve güvenirlik çalışmaları gerçekleştirilmiş ilaç kullanımına yönelik sosyal odaklı bir modelleme etkinliğiyle toplanmıştır. Katılımcıların çoğunun problemi anlama yeterliğinde yüksek başarı sergilediği, doğrulama basamağında ise güçlük yaşadıkları tespit edilmiştir. Tüm yeterlik düzeylerinde en yüksek başarıyı öğretmenlerin gösterdiği ve benzer şekilde öğretmen adaylarının, lise öğrencilerine göre yeterlik düzeylerinde daha yüksek başarı gösterdikleri bulgusuna varılmıştır. Modelleme etkinliği çözüm sürecinde en fazla sözel temsil, en az ise grafiksel temsil kullanıldığı sonucuna ulaşılmıştır. Araştırma sonunda katılımcıların eğitim seviyesi arttıkça modelleme yeterlik düzeylerinde daha yüksek performans gösterdiği sonucuna ulaşılmıştır. Katılımcıların büyük çoğunluğunun çözümlerinde tek bir temsil kullanımına yer verdiği ortaya çıkmıştır. Cebirsel temsil kullanımında en yüksek başarıyı öğretmen adaylarının gösterdiği, anadolu lisesi öğrencilerinin fen lisesi öğrencilerine ve öğretmen adaylarına göre tablo kullanımında daha başarılı olduğu bulgusuna varılmıştır. Lise öğrencileri, öğretmen adayları ve öğretmenlerin modelleme yeterliklerinin farklı bağlam içeren birden çok modelleme etkinlikleri ile karşılaştırmalı olarak incelenmesi bu araştırmanın önerileri olarak ön plana çıkmaktadır.

Makale detayları

Investigation of the Solution Processes of Social Problem-Oriented Mathematical Modelling Activity of Participants at Different Educational Levels

Yazarlar:

Amine Nur Yanar | Özkan Ergene

Yayıncı:

Bursa Uludağ University

Ana Başlıklar:

Matematik Eğitimi

Dergi:

Uludağ Üniversitesi Eğitim Fakültesi Dergisi Vol.37 Issue 3, pp.830-865

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

Türkçe

Document ID (Org No.):

2001329657

pISSN:

2667-6788

Mathematical modelling eliciting activity

high school students

pre-service teacher

in-service teacher

modelling competencies

representationMatematiksel modelleme etkinliği

lise öğrencileri

öğretmen adayı

öğretmen

modelleme yeterlikleri

temsiller

Sayı

Makale detayları

Yazarlar: Amine Nur Yanar | Özkan Ergene

Yayıncı: Bursa Uludağ University

Ana Başlıklar: Matematik Eğitimi

Dergi: Uludağ Üniversitesi Eğitim Fakültesi Dergisi Vol.37 Issue 3, pp.830-865

Belge Tipi: Makale

Yayın Tarihi: 12/2024

Belge Dili: Türkçe

Document ID (Org No.): 2001329657

pISSN: 2667-6788

Sayı

Yazarlar:

Amine Nur Yanar | Özkan Ergene

Yayıncı:

Bursa Uludağ University

Ana Başlıklar:

Matematik Eğitimi

Dergi:

Uludağ Üniversitesi Eğitim Fakültesi Dergisi Vol.37 Issue 3, pp.830-865

Belge Tipi:

Makale

Yayın Tarihi:

12/2024

Belge Dili:

Türkçe

Document ID (Org No.):

2001329657

pISSN:

2667-6788