After a brief description of three Piagetian stages (pre-operational, transition to concrete operations, and concrete operations), the author identifies 12 key statements from Piaget's writings. These statements, together with related implications for teaching elementary school mathematics, methods of diagnosing stage acquisition, and examples are…

Teachers and students will better understand the experience of learning if they become familiar with a general systems model of the relationship between a teacher and a learner (student). Concepts relevant to this model include learner background, readiness, initiative, and achievement; teacher knowledge, relationship to colleagues, cultural…