This address stresses the idea that selected findings from research in neuropsychology can be of use in courses in diagnostic and prescriptive teaching and in clinical work with children and adults. A short history of psychological theories from faculty psychology through Piagetian techniques is given. Then efforts in neurospsychology are described, including research on cognitive functions of the brain. Theories of curriculum and instruction are discussed, followed by theories of teacher methodology and of motivation. Finally, attention is drawn to the need for a systems theory of instructional psychology of mathematics. (MNS)