Providing a Contextual Learning Experience of Differential Equations Through Mathematical Modelling
0Kerri Spooner, Auckland University of Technology, Auckland NEW ZEALAND
https://qubeshub.org/community/groups/simiode/expo
Abstract: Mathematical modelling provides useful insights into real-world problems and is a valued activity across many disciplines, including biology, computer science, and engineering. Differential equations are a valuable tool used in modelling. Modelling provides a way for students to engage with differential equations within a contextual environment. Teaching mathematics in context has the potential of giving students something to anchor the mathematics to and hence act as cognitive roots (Blomhøj, 2019). In light of this, how can lecturers use mathematical modelling to give students a contextual learning experiences of differential equations?
A New Zealand study was carried out involving three case studies. Each case study compromised of a mathematical modelling course, lecturer participant, and student participants. Modelling examples and activities that involved differential equations were part of all course content. In this presentation I will present information on each course, the main modelling activities each course used, and examples of students’ use of differential equations for these activities. Detailed Schedules discovered into the common practices of the three lecturers in regard to using mathematical modelling to teach differential equations will also be shared.