فهرست نشریات علمی دسترسی آزاد ایران

Undoubtedly, conceptual mastery of derivatives and integrals as the language for describing changes in nature is the cornerstone of a deep understanding of physics and its effective teaching. This qualitative study aimed to explore the conceptual understanding, attitudes, and common misconceptions of student-teachers in Physics Education regarding the fundamental concepts of derivatives and integrals and their physical applications. Data were collected through an open-ended questionnaire containing ten key questions about initial perceptions, understanding of kinematic relationships, and teaching strategies from 15 physics education student-teachers during the 2024-2025 academic year and were analyzed qualitatively. Findings revealed that although most participants were proficient in the formal relationship between derivatives and integrals in the domain of kinematics (position, velocity, acceleration), their understanding of the "reason why" behind these relationships (such as the physical reason why the integral of acceleration equals velocity) was often superficial. A key misconception was the reduction of the integral concept to "finding the antiderivative," neglecting its physical interpretation as "summing infinitely small quantities." Additionally, unsuccessful initial educational experiences and purely formula-based teaching were identified as the main factors causing fear and ambiguity. Consequently, it seems essential to strengthen the conceptual foundation of these tools through an intuitive approach, based on modeling physical phenomena and using graphical representations, to prepare future teachers.