I’m doing something that I should have done a long time ago: collect past series of posts into a single, easy-to-reference post. The following posts formed my series on various lessons I’ve learned while trying to answer the questions posed by gifted elementary school students.
Part 1: A surprising pattern in some consecutive perfect squares.
Part 2: Calculating 2 to a very large exponent.
Part 3a: Calculating 2 to an even larger exponent.
Part 3b: An analysis of just how large this number actually is.
Part 4a: The chance of winning at BINGO in only four turns.
Part 4b: Pedagogical thoughts on one step of the calculation.
Part 4c: A complicated follow-up question.