This article delves into the concept of 'puzzles' in exploratory practice (EP), an innovative branch of inclusive practitioner research. EP encourages teachers and learners to define their own agendas (i.e. puzzles) to explore their practice. It has been argued that puzzles are most effective when framed as why questions (e.g. Why do we cheat?)…

An interesting Sangaku problem was chosen and a multidirectional study was performed, which included finding the locus of a circle's center moving while being tangent to two circles. It also included finding the radius of that circle given the datum that it is also tangent to the side of an isosceles triangle. Two different proofs are presented of…