This collection of 123 objectives and related evaluation items is for general mathematics in grades 10 through 12. The content has been organized into nine major categories: sets; numbers, numerals, and numeration systems; operations and their properties; measurements; per cents; geometry; probability and statistics; logic; and applications and…

Unit 13 in the SMSG secondary school mathematics series is a student text covering the following topics in geometry: common sense and organized knowledge; sets, real numbers, and lines; lines, planes, and separation; angles and triangles; congruences; proof; geometric inequalities; perpendicular lines and planes in space; parallel lines in a…

Unit 14 in the SMSG secondary school mathematics series is a student text covering the following topics in geometry: areas of polygonal regions, similarity, circles and spheres, characterization of sets, constructions, areas of circles and sectors, volumes of solids, and plane coordinate geometry. Appendices cover Eratosthenes' measurement of the…

The patterns of the coefficients in the expansion of (x + y +z)n are discussed, and a recursive property is developed as a generalization of the Pascal triangle. (MP)

Techniques that can be used in solving various mathematical problems are illustrated by an optimization problem and the accompanying model and solution. (MP)

Describes zoo creatures of interest to recreational mathematicians. Includes the geometrical symmetries of micro- and macroorganisms, topological studies, and imaginary creatures of scientific interest. (MA)

Some misconceptions about "squares" encountered among college students as they attempt to master appropriate subject matter in preparation for teaching elementary grades are presented. (MN)

A method for finding the area of a circle is described which involves finding points on the circle with the aid of a calculator and then applying the formula for the area of a polygon. (MN)

A sequence of ellipses and a sequence of hyperbolas, both graphically approaching some parabola, are expressed algebraically and then shown to approach the parabola. (MN)

The author offers a new puzzle requiring that the mixed set containing all the members of the set of trihexagons and the set of tetrahexagons be fitted inside a star-shaped outline. (MN)

Several geometric and trigonometric proofs are discussed. These proofs were selected from a larger group because of their instructional value promoting enrichment or generalization. (SD)

Activities growing out of a study of Euler's formula are described. (SD)

Eight geometric construction problems with some unusual constraints are presented and then solved using only an unmarked straightedge and a compass. (JT)

An approach close to the original Greek geometric point of view regarding the question and proof of the irrationality of the square root of two is given. (MN)

The author gives a method for involving students in developing and verifying elementary number theory hypotheses by studying areas and perimeters of primitive pythagorean triangles. (MN)