Mathematics has always been my music; something to play with. This is not the mathematics of formal curricula, which is more akin to learning music by memorising score sheets. Imagine if we denied piano learners the opportunity to ever put hand to instrument. We would surely call out the approach as cruel and unusual, yet this is the defining pedagogy of much of school maths.
As a musician, this is exactly the thought I’ve had recently when thinking about mathematics: our math school curriculum is like memorizing music harmony, theory and even counterpoint without knowing how to play as much as “Twinkle, Twinkle” on a piano.