TY - JOUR

T1 - Innovative approaches in mathematical modeling

T2 - Harnessing technology for teaching second degree equations to Future Mathematics Educators in Türkiye

AU - Kandemir, Mehmet Ali

AU - Eryilmaz, Nurullah

N1 - Publisher Copyright: © 2025 The Authors

PY - 2025/1

Y1 - 2025/1

N2 - This qualitative study explores the mathematical modeling processes of eighty-seven pre-service mathematics teachers in Turkey, focusing on their approaches to real-world problem-solving and the integration of technology. Utilizing a case study design, participants engaged in the Demijohn Problem, a modeling activity centered on quadratic functions. Data were collected through audio and video recordings, worksheets, and reflective essays. Findings indicate that while participants effectively understood and simplified problems, they faced challenges in model development and verification, often over-relying on technology without critical evaluation of their outputs. The study emphasizes the dual role of technology as both a facilitator and a potential barrier to deeper understanding. Recommendations for future research include comparative studies, focused investigations on interpretation and verification processes, and interventions promoting self-reflection on technological outputs. This research highlights the need for a balanced approach to mathematical modeling that fosters critical thinking and robust problem-solving skills.

AB - This qualitative study explores the mathematical modeling processes of eighty-seven pre-service mathematics teachers in Turkey, focusing on their approaches to real-world problem-solving and the integration of technology. Utilizing a case study design, participants engaged in the Demijohn Problem, a modeling activity centered on quadratic functions. Data were collected through audio and video recordings, worksheets, and reflective essays. Findings indicate that while participants effectively understood and simplified problems, they faced challenges in model development and verification, often over-relying on technology without critical evaluation of their outputs. The study emphasizes the dual role of technology as both a facilitator and a potential barrier to deeper understanding. Recommendations for future research include comparative studies, focused investigations on interpretation and verification processes, and interventions promoting self-reflection on technological outputs. This research highlights the need for a balanced approach to mathematical modeling that fosters critical thinking and robust problem-solving skills.

KW - Mathematical modeling

KW - Pre-service teachers

KW - Problem-solving

KW - Quadratic functions

KW - Qualitative study

KW - Technology integration

KW - Educational science

UR - http://www.scopus.com/inward/record.url?scp=85214457618&partnerID=8YFLogxK

U2 - 10.1016/j.ssaho.2025.101281

DO - 10.1016/j.ssaho.2025.101281

M3 - Journal articles

AN - SCOPUS:85214457618

VL - 11

JO - Social Sciences and Humanities Open

JF - Social Sciences and Humanities Open

SN - 2590-2911

M1 - 101281

ER -