This paper attempts to examine the research of split-brain, hemispheric specialization, and brain function, as it pertains to handwriting, brain wave patterns, and lateral differences. Studies are reviewed which point to asymmetric differentiated functions and capacities of the two cerebral hemispheres in split-brain patients and in normal persons. The need for integrated hemispheric processing in teaching metaphors, visual imagery, and mind-mapping is discussed. The issue of right- and left-handedness is considered in studies of blood flow, inverted and noninverted writing posture, and familial versus nonfamilial left-handers. Lists of the functions of the two hemispheres of the brain as outlined by various authors are presented in a section on cerebral dominance and hemispheric functions. The final sections of this paper address the implications of the reviewed research for childhood education and the possible identification of children with different cognitive learning styles. Findings are presented which suggest that for optimal cognitive functioning interhemispheric functioning is necessary. The implications of brain research for education in the arts are discussed. In a presentation of mental processes and brain waves, four basic EEG wave pattern categories are described. Two of these, theta and alpha waves, are then used as prototypes to describe variances in children's learning styles. A list of left- and right-minded characteristics that teachers and psychologists can use to look at children's behaviors in a new way is included. A 23-item list of references concludes the document. (NB)