The paper, part of an all-day workshop, reviews research and theory on left-right hemisphere information processing and psychophysiological models on the functional organization of the brain. Hemisphericity is considered in terms of language, cognitive styles, role in education, verbal and non-verbal processing, affective concomitants, and communication between the hemispheres. EEG (elctroencephalography) correlates of cognitive and affective states are discussed and patterns are classified according to delta, theta, alpha, and beta, categories. A psycho-physiological model of problem solving is proposed which associates hemispheric and EEG correlates to four stages of creative thinking (preparation, incubation, illumination, and verification). Training approaches on problem solving are offered, beginning with relaxation techniques and including profile analysis determining learning styles and instructional method. Educational implications are seen to include the importance of identifying the student's neurologically based learning style, of providing more opportunities to exercise the intuitive approach to problem solving, and of encouraging a relaxed classroom environment. (CL)