The history of education is made up in part of accounts of various subjects which have developed into courses of study. Mathematics of some kind has always been included in such courses. In the American colonies, arithmetic was an important subject for practical reasons. It was needed for trade and commerce. Sailing vessels plying between Europe…

This textbook is a teaching manual for arithmetic, algebra, and geometry. Historical sketches on the subjects are included. Each topic is discussed in detail, and the teacher is advised along what lines to work, and how the work may be successfully accomplished.

This textbook provides the foundation for a course in mathematics covering arithmetic, algebra, geometry, conic sections, and arithmetic of infinites. An appendix on practical gauging is included, as well as a supplement containing the history of logarithms. [This edition was corrected and improved by Samuel Clark.]

The development and role of algebra in the curriculum are traced historically. The slow development over centuries is emphasized. (MNS)

Facts are given about the ninth-century Arab mathematician Al-Khwarizmi, from whose name the word algorithm is derived. His influence on algebra and arithmetic are discussed. (MNS)

Eighteen States and the District of Columbia were represented at the second conference of collegiate instructors in foreign service training subjects, which was held at the New Willard Hotel, Washington, D.C., December 26, 1923, under the direction of the former advisory council and committee of fifteen on educational preparation for foreign…

Geometry is revealed as one of the most universal and useful tools in all parts of mathematics, with the idea of a "pure" geometry divorced from algebra an historically recent idea. (MP)

Some appearances of pi in a wide variety of problems are presented. Sections focus on some history, the first analytical expressions for pi, Euler's summation formula, Euler and Bernoulli, approximations to pi, two and three series for the arctangent, more analytical expressions for pi, and arctangent formulas for calculating pi. (MNS)

In the following general report the aim is to present a concise view of the organization, methods, and problems of the teaching of mathematics in the United States, touching particularly upon the larger questions that seem to merit especial emphasis, and referring to the special reports for details with respect lo the various types of schools. The…

This bulletin provides States and local school systems with information on recent efforts to improve elementary school mathematics instruction, fulfilling a need for a single source in which factual descriptions of the major experimental projects and other improvement procedures are brought together for study. It does not attempt to evaluate…