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 is a listing and review of the research pertaining to secondary school mathematics published in the United States over the past several years. The bibliography, in two appendices, lists 780 research reports and 770 dissertations dealing with secondary school mathematics published between 1930 and 1970. Each citation is followed by…

A method of approximating the point "c" at which a continuous function attains its mean value over an interval is described. The method is applied to tax tables. (SD)

A game is described that is designed to give students practice with operations on integers. The rules can easily be changed to provide more (or less) challenging situations. (MP)

The graph of this function is analyzed by using calculus methods and the computer. The graph in most texts is shown to be misleading. (MP)

The sequence of events leading to the U.S.A. Mathematical Olympiad and the participation of this country in the International Mathematical Olympiad are discussed as well as Mathematical Olympiads in other countries. (MP)

The mathematics involved in a computer solution of a well-known board puzzle is discussed. The BASIC program is given. (MP)

Discussed is the problem of finding the volume common to two intersecting right circular cylinders. (MP)

Complex numbers and trigonometry are used to prove that a given constructed line is equal to the length of one side of a regular pentagon inscribed in a unit circle. (MP)

It is shown that a unit segment can be constructed from a given line segment of length the square root of x if x is a surd. (MP)

A test for divisibility by any prime number is discussed and its proof is given. (MP)

Binomial coefficients are used to prove two conjectures concerning the partitioning of an N-dimensional space. (MP)

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)

Detailed instructions are given for the construction of a line segment of length cube root of two. A proof is also given. (MP)

Comparisons are made between the errors obtained when approximating the integral with the midpoint rule, the trapezoidal rule, and Simpson's rule. (MP)