Associate Professor Mary Copeland from the University of Technology Sydney, Australia, unpacks calculus, describing it as “a way of measuring change over time.” She explains its two core concepts—understanding rates of change and totalling small parts to find a whole—and connects these ideas to real-life applications, from speed cameras to retinal treatments.
Mary highlights the foundational maths skills of algebra, functions, and graphs, while sharing resources like Maths Inside to support out-of-field teachers. This episode offers practical insights and inspiration for anyone tackling advanced maths topics.
Links:
LinkedIn: https://linkedin.com/in/mary-coupland-16638617/
Investigating Change: An Introduction to Calculus for Australian Schools
https://archive.org
Mathematical Association of New South Wales (MANSW)
URL: https://www.mansw.nsw.edu.au
Maths Inside - University of Technology Sydney
https://www.mathsinside.uts.edu.au
Australian Mathematical Sciences Institute (AMSI)
https://amsi.org.au
Mathematical Association of Victoria - free 14-video course for high school teachers who are teaching maths out of field
https://www.mav.vic.edu.au/Resources/Build-Me-Up
Khan Academy
https://www.khanacademy.org
Internet Archive (for older resources and textbooks)
URL: https://archive.org
PhotoMath App
https://photomath.com