Unit 18 in the SMSG secondary school mathematics series is a student text covering the following topics: logarithms and exponents; trigonometry; the system of vectors; polar form of complex numbers; sequences and series; permutations, combinations, and the binomial theorem; and algebraic structures. (DT)

The overall results of the fourth U.S.A. Mathematical Olympiad are discussed. The names of the eight finalists are listed, as are the problems in the test. (SD)

Lines in the coordinatized plane which do not go through the origin can be designated by the ordered pair of intercepts. The enrichment unit described illustrates duality in mathematics. (SD)

Beginning with an analysis of the golden rectangle, the author shows how a series of problems for student investigation arise from queries concerning changes in conditions and analogous situations. (SD)

This study examined the effects of using materials, modeled on programmed instruction, in which questions were posed after each paragraph. It was found that average and below average students studying matrix algebra benefited significantly from the experimental treatment. (SD)

Synchronized slide-tape units were developed on topics related to polynomials and exponents. Thirteen students used the modules produced; examination and attitudinal data on these subjects are presented. (SD)

Four examples of student misunderstandings from algebra and trigonometry are presented, and their implications are discussed. (MP)

Topics covered include alternate methods for finding LCM and GCF, imaginative word problems, and a primes-breakdown method of factoring quadratics. (MP)

Certain features of the PSI-proctor managed course and the traditional lecture course were merged to yield the Mastery Format. A study comparing the Mastery Format to other formats favors the former. (MP)

This problem solving strategy is illustrated by examples from the fields of algebra, trigonometry, geometry, and calculus. (MP)

Outlines mathematical topics of use to college geography students identifies teaching methods for mathematical techniques in geography at the University of Leeds; and discusses problem of providing students with a framework for synthesizing all content of geography education. For journal availability, see SO 506 593. (Author/AV)

The author describes and gives two illustrations of a method for solving a system of two linear equations. The ratio of left members is equated to the ratio of right members, the ratio of the two variables is solved for, and the resultant ratio is substituted into an original equation. (MN)

The author argues for a clarification of standard notation rather than the use of flow diagrams to make the meaning of algebraic formulas more obvious to the beginning algebra student. (MN)

A method for approximating the nth root of any positive number that requires only a four-function calculator with a square-root key and repeat multiplication capability is given. (MN)

The relationships between arithmetic, geometric, and harmonic means and the root mean square of two numbers are examined. The problem of generalizing these relationships to three variables is discussed. (SD)