This document is the report of a curriculum writing session. Using the recommendations and suggestions of the planning conference (SE 012 733), the writers produced detailed outlines for the grade seven through nine curriculum. The purpose and rationale of each unit are stated, and the separate sections outlined. Sample exercises are included for…

Reported are detailed recommendations on the mathematics offerings in two year colleges which include the usual range of university parallel programs. The basic program is considered under four headings: Calculus Preparatory, Calculus and Linear Algebra, Business and Social Science, and Teacher Training. Twelve courses are discussed and outlined…

The first of four "quins" designed to strengthen fundamental concepts and skills, this course covers properties of real numbers, simple open sentences, factorization of natural numbers, and problem solving. After a list of overall goals, the guide gives performance objectives, course outline, references to state-adopted textbooks, and…

The effects of the combined use of a nonsimulation game and student teams in mathematics on student achievement were investigated. Ninety-six seventh grade students in two low- and two average-ability mathematics classes participated in the study. One low- and one average-ability class played the nonsimulation game Equations twice a week for nine…

FROM A STUDY OF GUILFORD'S MODEL OF THE STRUCTURE OF INTELLECT, THE HYPOTHESIS WAS FORMED THAT THE ABILITIES MOST IMPORTANT TO LEARNING MATHEMATICS AND MOST LIKELY TO BE CULTIVATED IN MATHEMATICS CLASS ARE THOSE WHICH REQUIRE THE OPERATIONS OF COGNITION AND CONVERGENT PRODUCTION PERFORMED ON SYMBOLIC AND SEMANTIC CONTENT. A BATTERY OF TESTS…

Unit 9 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: sets and the number line, numerals and variables, sentences and properties of operations, open sentences and English sentences, the real numbers, properties of addition, properties of multiplication, properties of order, and…

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)