Methods of instruction and organization are discussed in the first chapter, including critiques of the Winnetka plan and the Dalton plan. The next author argues that algebra is a method of thinking and explains some mental processes involved. The following three chapters are concerned with the functional concept. Using function as a unifying concept, developing functional thinking, appropriate topics, and the measuring of functional thinking are major points that are discussed. One chapter gives examples of using mathematics to measure world trends and cycles. Two related chapters discuss setting the background for a study of algebra, motivating the student, and putting some emphasis on creative thinking. Concluding chapters cover algebra in the junior high school curriculum and methods for teaching verbal problems. (LS)