Arithmetic: Craft or Art? A Recursive (Re)view of Paul Lockhart’s A Mathematician’s Lament and Arithmetic

Abstract

Paul Lockhart is a former computer programmer, elementary teacher, research mathematician, university professor, and somewhat more recently a K-12 mathematics teacher and author. Lockhart’s first written composition appeared two decades ago in 2002. All of 25 pages, his essay A Mathematician's Lament began like this: A musician wakes from a terrible nightmare. In this dream he finds himself in a society where music education has been made mandatory ... Educators, school systems, and the state are put in charge of this vital project. Studies are commissioned, committees are formed, and decisions are made—all without the advice or participation of a single working musician or composer.” (p. 1)