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)

The author describes an introduction to, and development of, the complex number field. (SD)

After a brief discussion of Pascal's triangle and description of four methods of hand construction, the author provides FORTRAN and BASIC programs for computer construction based on recursive definition. (SD)

Beginning with a construction problem admitting a classical solution, the authors provide other solutions based on algorithmic estimation and transformational geometry. The latter methods are generalized to suggest solutions to other problems; hints to these solutions are provided. Teacher-student discussion could lead in many directions. (SD)

This document extracts ideas from research on the teaching of algebra and geometry which might prove useful to secondary school teachers. Part I reviews research on algebra; it is divided into sections on classroom instructional practices, cognitive factors, attitudes and affective factors, problem solving, computers and calculators, and testing…

The use of work cards for individualized instruction, the need for organization of materials, the noise level of the classroom, the problems involved in providing individual attention and in selecting appropriate level of tasks for each student, and evaluation techniques all are discussed. (DT)

The present situation in the relation of mathematics and science instruction in schools, and mathematics in the Schools Council Integrated Science Project (SCISP), are discussed; complaints from science teachers about emphases in mathematics instruction are presented and encouraging features of modern mathematics are listed. (DT)

A method for generating Pythagorean triples is presented and demonstrated with several examples. Its relationship to another method is shown and several interesting related facts are proven. (LS)

Arguments for the inclusion of computer studies as a part of a general secondary education are considered. Suggestions are made for addressing the issues of the role of the computer in society, as well as for using the computer as a part of the mathematics curriculum. (DT)

This is the teacher's guide and commentary for the SMSG textbook Algorithms, Computation and Mathematics (Algol Supplement). This teacher's commentary provides background information for the teacher, suggestions for activities found in the student's Algol Supplement, and answers to exercises and activities. The course is designed for high school…

This is the teacher's guide and commentary for the SMSG textbook Algorithms, Computation, and Mathematics (Fortran Supplement). The teacher's commentary provides background information for the teacher, suggestions for activities found in the Fortran Supplement, and answers for exercises and activities. The course is designed for high school…