Abstract
In the present paper, we continue to explore applicable teaching ideas of calculus, which were presented already at the First MACAS International Symposium in 2005. These ideas offer nice interdisciplinary approach in teaching (advanced) high school mathematics and physics. Initial ideas of calculus and ‘infinitesimal convergence’ start already with Archimedes geometric reasonings. Archimedes was also a master of experiments and measurements which we connect to the meaning of later developed analytical calculus. Using modern technology like ultrasound tracker, we can numerically analyse movements and set the experimental basis and motivation for calculus. Furthermore, using easily accessible Excel datasheets, we can model the spread of the coronavirus. Obtained results motivate and intuitively introduce modelling otherwise associated with advanced differential equations. All teaching ideas presented in this paper have been successfully tested with (advanced) high school students.
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Kobal, D., Golež, T. (2022). Calculus Between Ancient Times and Covid Pandemic. In: Michelsen, C., Beckmann, A., Freiman, V., Jankvist, U.T., Savard, A. (eds) Mathematics and Its Connections to the Arts and Sciences (MACAS). Mathematics Education in the Digital Era, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-031-10518-0_18
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