Calculus is the study of change, but differential equations students need help quantifying it

• Autores: Jennifer A. Czocher, Andrew Baas, Abigail Quansah, Elizabeth Roan
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 55, Nº. 2, 2024, págs. 574-584
• Idioma: inglés
• DOI: 10.1080/0020739X.2023.2255205
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• Resumen

  • Students exit calculus with understandings of change that want for conceptual depth and are disconnected from real-world contexts. In this paper, we present a problem that will develop their skills in using change concepts for learning differential equations through modelling. The problem comes from a qualitative study of how STEM majors approach and think about differential equations as models for real-world scenarios. Our purpose is to inform faculty who are using open, authentic, scenario-driven instructional materials about the ways their students think about what are often taken-for-granted concepts in advanced mathematics and to support faculty in ensuring their students get the most from their innovative instructional materials.