This yearbook is the final report of the National Council Committee on Arithmetic. Having endorsed the "meaning theory" of arithmetic instruction, an attempt is made to develop a position that might serve as a basis for improvement of the arithmetic program. After a chapter on the function of subject matter in relation to personality and one on…

This yearbook discusses mathematics instruction in the following countries: Austria, Czechoslovakia, England, France, Germany, Holland, Hungary, Italy, Japan, Russia, the Scandinavian countries, Switzerland, and the United States. Much of the information was collected as a followup to the first International Commission on the Teaching of…

This yearbook is organized into three main sections: arithmetic, junior high school mathematics, and high school mathematics. Chapter 1 identifies and discusses specific questions in arithmetic instruction and learning. The kinds of research needed and suggestions about students needing remedial work are also discussed. Chapter 2 deals with…

The first chapter presents representative criticism of the teaching of mathematics, some typical testimonials of its values, and suggestions for certain improvements. Next comes a survey of the educational situation with particular emphasis on the reorganization of secondary mathematics instruction. Chapter 3 presents arguments for the value of…

This yearbook is a collection of 14 articles covering a wide range of topics. The first argues that arithmetic is "a general mode of thinking," not a "tool subject." The need and use of mathematics for the average citizen is the basis for the second chapter, and the following chapter continues in this vein by attempting to show…

There are a number of recurring topics in the articles that comprise this yearbook, such as the nature of both informal and demonstrative geometry, the reasons for teaching both, and the extent of such courses. Other emphasized topics are use of the analytic method, whether to combine plane and solid geometry, the place of algebra and trigonometry…

The first of six chapters in this yearbook discusses articulation between junior and senior high school in terms of several specific content and topic areas. The following chapter is a selected review of research in mathematics education for the years 1915-1931. Investigations are categorized into one of nine areas and a 132-entry bibliography is…

This yearbook is the final report of the Joint Commission of the Mathematical Assocation of America and the National Council of Teachers of Mathematics. The report contains discussions of the following: role of mathematics in civilization, general aims of modern education, general objectives for secondary education, place of mathematics in…

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…