This document outlines a theory of learning and education for the teaching of mathematics. The theory is termed a cognitive taxonomy. The taxonomy, developed over a 15-year period, is based on the connection between mathematical material and pupils' reactions to it. The function of this connection is termed a process. The taxonomy is based on the…

Care must be taken to ensure that students in teacher preparation programs are prepared to benefit maximally from field experiences. A curriculum that provides prerequisite knowledge, contrived teaching experiences on campus, proper sequencing of experiences, and balance between formal instruction and field experience is needed. Clinical and…