The triangular array formed from the coefficients of sin + cos is discussed in relation to Pascal's triangle. (JG)

The author responds to a lecture given by Dieudonne, reported in the September 1973 issue of this journal, by considering the goals for mathematics instruction and by defending the selection of content and approaches for geometry, algebra, and trigonometry. (DT)

A mathematical misteak" is an incorrect operation that leads to a correct result. An introduction to the use of the misteak" to emphasize the mathematical operations being taught. Examples and brief explanations of several types of misteaks" are given. (FL)

Functions defined on a unit square are considered, so that a basis may be established to carry over important features to the circular functions. (DT)

To improve mathematics skills of freshmen, the College of Engineering at the University of Illinois at Urbana-Champaign has instituted a mathematics placement test and a summer algebra and trigonometry review program. (BB)

Theorems about the hyperbola which are ordinarily introduced in calculus courses can be proved without using the calculus. (SD)

In this article, a continuation of SE 513 148, the author presents seven additional applications of group theory to high school mathematics. These applications can be used, not only to illustrate the group concept, but also to extend the development of ideas in the high school curriculum. (SD)

This is part two of a two-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to the exercises, and a set of illustrative test questions. Chapter topics include exponential and logarithmic functions and circular functions. (MP)

A class of triangles related to the Pythagorean triangles is described; theorems concerning this class are proved. (SD)

This text is an integrated presentation of a second year course in algebra and trigonometry and digital computer modeling techniques using the programming language BASIC. Computer concepts are used directly with the mathematics throughout the text. No attempt is made to develop especially proficient programmers, but rather to present computer…

This course is part of an engineering certification program for men inspecting construction projects. It presumes some high school training in mathematics and science. The course begins with examples showing the importance of mathematics on the job. Following that is a section on algebra, one on geometry, and one on trigonometry. (KM)

This twentieth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 18. For each of the chapters in Unit 18, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, answers to exercises are provided, and sample text questions are included. (DT)