This booklet briefly traces the history of algebra up through the present day modern algebra. The use of proofs, matrices, properties of groups, and linear equations and computers are discussed. (DT)

The comparative validities of four composites of variables for predicting grade point average in ninth grade modern algebra and performance on the "Cooperative Mathematics Test" were studied. A sample of 177 high school students was used. Findings showed that certain structure-of-intellect factors were useful in predicting algebra success,…

This document constitutes a complete revision of the report of the same name first published in 1965. A new list of basic courses is described, consisting of Calculus I, Calculus II, Elementary Linear Algebra, Multivariable Calculus I, Linear Algebra, and Introductory Modern Algebra. Commentaries outline the content and spirit of these courses in…

These instructional objectives, written by Harvey Reynolds, have been selected from materials used at Golden West College (California). These objectives are offered simply as samples that may be used where they correspond to the skills, abilities, and attitudes instructors want their students to acquire. These objectives may also serve as models…

Four methods of teaching algebra to educationally disadvantaged students entering college were compared. (SD)

The examination by students of the associative property of a binary operation is used to illustrate how students can be involved in mathematical discovery. (MP)

A geoboard-related extremal problem dealing with both concave and convex polygons is discussed and a proof is given of the solution. (MP)

Two statements concerning magic squares, considered as 3x3 matrices, are discussed and their proofs given using only high school level techniques. (MP)

The reported study is an attempt to investigate possible interaction between criterion measures of learning and retention of material and figural-inductive and symbolic-deductive methods of presentation. (MN)

Ten recent results in pure mathematics are described, covering the continuum hypothesis, Diophantine equations, simple groups, resolution of singularities, Weil conjectures, Lie groups, Poincare conjecture, exotic spheres, differential equations, and the index theorem. Proofs are omitted, but references are provided. (DT)

A nontraditional approach of graphing equations using parallel axes produces some dual concepts when compared to graphing equations with the traditional perpendicular axes. (JT)

Described is the construction of a computerized test bank to generate and score tests in college algebra, trigonometry, and intermediate algebra; including a discussion of uses, advantages and disadvantages of computerized testing. (JLH)

The formula for the sum of the nth powers of the first k integers was shown by Bernonlli to be obtainable from Pascal's triangle. The derivation is reported. (SD)

Tests for divisibility of integers are derived and described. (SD)

Discusses students' uses of certain programs, in contrast to writing them. Three programs are discussed: one on nonreal roots, one on dividing polynomials by quadratic polynomials, and one on "unfactoring." (MNS)