This guide to mathematics education is designed to provide direction for teachers and administrators in the development and evaluation of school mathematics programs. The skills and knowledge of mathematics are seen by the Hawaii Department of Education to be of significant importance in our society, with the Department assuming primary responsibilities for developing programs which will help all Kindergarten through grade 12 pupils to become effective and contributing members of society. Sections include: (1) an introduction, explaining the purpose of the guide, the mathematics program, and program highlights; (2) the learning environment, in terms of the school, teacher, and classroom; (3) program goals for Kindergarten through grade 12, examining both broad and procedural goals, the need for problem-solving instruction, and a detailed table of problem-solving behavior; (4) curriculum guidelines, including an intricate scope and sequence overview, performance expectations, individual curriculum guidelines for each year in the Kindergarten through grade 6 sequence, and an outline of how learner objectives are related to performance objectives in the elementary program; and (5) a bibliography. (MP)