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Developing skilled mathematicians

British Mathematical Colloquium 2019, Lancaster University (09/04/2019).

There is at times a tension in mathematics undergraduate teaching between the knowledge we wish students to acquire and their skills development. Explicit teaching of skills like mathematical writing, problem-solving, group working, giving presentations, etc. are not always given the priority that is associated with coverage of curriculum content. I will discuss the skills we might wish to see in graduate mathematicians and talk about aspects of my teaching to mathematics undergraduates - in pure mathematics, mathematical modelling, programming and history - that are intended to develop those skills.