This review is devoted to major efforts by professional societies, institutions of higher learning, and national committees to influence science and mathematics curriculums. The chapters include: (1) Science in Elementary Grades (history of elementary science, elementary science curriculum, children's learnings in science, and teaching aids); (2) Mathematics in the Elementary School (abilities and attitudes, number concepts, teaching fractions and problem solving, research on teaching methods, and teacher education); (3) Science in the Secondary Schools (junior and senior high curriculum, teaching methods, and achievement); (4) Mathematics in the Secondary School (curriculum, attitudes, concept formation, teaching methods, teacher education, programs for gifted students, television instruction, and college preparation); (5) Teacher Education in Science (preservice, inservice, and certification); (6) Teacher Education in Mathematics (research influence, course offerings, preservice, and certification); (7) College Science (teaching methods, teacher-student relationships, advanced students, and television instruction); (8) College Mathematics (methods, prediction and placement, curriculum, and programmed instruction); (9) Academically Talented (elementary and secondary school mathematics and science); (10) Research Methodology (surveys of opinions, attitudes, teacher background, textbook analysis and teaching conditions; experimental research; predictive and correlational studies; historical and philosophical studies; and large-scale studies and projects).