This book, intended for use by inservice teachers, preservice teachers, and parents interested in open classrooms, contains three chapters. "Beginning Reading in an Open Classroom" discusses language development, sight vocabulary, visual discrimination, auditory discrimination, directional concepts, small muscle control, and measurement of abilities. "Beginning Math in an Open Classroom" describes stages of math development, activities for developing math skills, and evaluation of pupils' mathematical skills. "Five Children: Case Studies" presents the case studies of five children to illustrate how diagnosis and learning strategies were initiated. A conclusion discusses the lack of patterns in the development of a child's learning. Three appendixes describe evaluation procedures for math and reading, and the selection and use of classroom materials for math and reading. (WR)