A Detailed Descriptive Study on the Teaching of ODEs to a Group of Preservice Teachers Using Computer Assisted Instruction

Abstract

This study presents a detailed descriptive analysis of teaching ordinary differential equations (ODEs) to pre-service mathematics teachers (PSTs) using computer-assisted instruction. The teaching of Ordinary Differential Equations (ODEs) to Pre-Service Mathematics Teachers (PSTs) is a critical component of mathematics education, as it helps future educators understand mathematical modeling and problem-solving techniques. Traditional methods of teaching ODEs often focus on analytical solutions and theoretical derivations, which can present challenges in conceptual understanding and real-world applications. This study explores the integration of Computer-Assisted Instruction (CAI) in teaching ODEs to PSTs using MATLAB software. A qualitative descriptive research approach was employed, involving classroom observations, focus group discussions, and reflective journals. The findings reveal that CAI enhances student engagement, improves conceptual understanding through visualization, and encourages independent problem-solving. These findings have important implications for teaching and learning differential equations and other mathematical concepts, as they suggest that PSTs can effectively use computer-assisted instruction, such as MATLAB, to compute mathematical problems and plot graphs, which they can later apply in secondary school teaching after completing their undergraduate degree programs. The study provides recommendations for incorporating CAI into mathematics teacher education to enhance learning outcomes and pedagogical preparedness.