### The Transition from High School Mathematics to University Mathematics

These are notes in progress for a talk given at the online user group conference of the advanced programme mathematics organized by ieb (19 February 2022) 1. Introduction In my experience, what makes transition from school mathematics to university mathematics hard is the depth of engagement with mathematics that university mathematics requires of students, compared to the depth of engagement that school mathematics requires. Do you agree or disagree with the following thesis: A school learner must understand school mathematics at the same depth that a university student is expected to understands university mathematics. If you do not agree and think that a university student should understand university mathematics more deeply than a school learner understands school mathematics, this means that you expect a learner transitioning to university not only having to learn more advanced mathematics, but to understand it more deeply than they understand its foundation, the school mathematic