This textbook is based on the idea that there should be an intermediate high school course that will sum up the arithmetic of the grades, and give some insight into the coming mathematical problems of algebra and geometry, especially if this course is linked up with work in mechanical drawing, manual training and elementary surveying. Such a…

This textbook, designed for at least one and one-half year's work in algebra, is intended for the use of those schools which find a one-book course best adapted to their needs. Experience thoroughly justifies a careful review at the beginning of the third half year's work. As the first twenty-three chapters contain the greater portion of the usual…

This textbook combines the material of the "New First Course in Algebra" and the "New Second Course in Algebra" in a form convenient for use in courses of more than a year in length. A large amount of review material is to be found at the point where the second year of work commences, since it was felt that there should be an…

This book's activities probe rational and irrational numbers and investigate properties of integers and complex numbers. They explore numbers and operations embedded in physical objects and show how simple problems can lead to sophisticated considerations. Students examine the usefulness of irrational numbers in designing musical scales and of…

Familiarity with modern methods of measurement and skill in doing quantitative thinking are essential. This text offers a "general" course intended for those who continue studies in the senior high school as well as for those who do not continue. It aims to contribute to the pupil's liberal education by preparing him to understand the…

Familiarity with modern methods of measurement and skill in doing quantitative thinking are essential. This text offers a "general" course intended for those who continue studies in the senior high school as well as for those who do not continue. It aims to contribute to the pupil's liberal education by preparing him to understand the…

his is the second volume of a series of textbooks on junior high-school mathematics. Like the first volume, it is organized on the principles that were stated in the preface of Book One. Geometry is the basis of the first part of this course. By actual measurement formulas are developed for finding the areas of triangles, quadrilaterals, and the…

This textbook's main objective is to provide a connecting link between the study of arithmetic and algebra, and to show how to solve problems. It seeks to show practical applications of the theory discussed. While this book was designed originally for the use of those whose educational training had been limited, it has been so remodeled as to…

This volume presents a full high-school course in elementary algebra and contains all the topics given in the standard year-and-a-half courses. It is adapted to the prevailing practice of teaching elementary algebra in two courses--a full-year course followed by a half-year course. The first 23 chapters contain all the work required in any…

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

Presented is the work of the calculus group of SMSG. The Advisory Board expressed a desire for a suitable high school calculus text. The calculus group surveyed available texts and, finding none which met advisory board requirements, outlined a suitable course. This outline was annotated for use by future writers. Some group members felt a more…

This competency-based model has been developed to upgrade the mathematical skills of typical minority students in urban high schools. The central philosophy is that an underprepared student of mathematics can be made computationally literate and mathematically viable in three semesters, whatever the level of preparation. Units covered are…

A method for finding the complex roots of a graph is detailed. A conjecture is made regarding the nature of zero points of fourth-degree polynomial functions, but it is not proven in general. Mathematical induction is viewed as a promising tool to prove the conjecture that turned out unproductive. (MP)

A contest for general mathematics students is briefly described. It includes tests, congratulatory letters, and face-to-face competition. (MP)

Four masters of trigonometrical tables are provided, so that students will have a basic set. Tables for sines, tangents, and cosines and a table of formulae for right triangles are given. (MNS)