Presented is an elementary approach to areas, columns and other mathematical concepts usually treated in calculus. The approach is based on the idea of average and this concept is utilized throughout the report. In the beginning the average (arithmetic mean) of a set of numbers is considered and two properties of the average which often simplify…

This is part of a student text which was written with the aim of reflecting the thinking of The Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for mathematics. The instructional materials were developed for teaching geometry in the secondary schools. This document is chapter six and titled Motions and…

This book is a reissue of the second edition which appeared in 1940. It has the distinction of being the first vintage mathematical work published in the NCTM series "Classics in Mathematics Education." The text includes a biography of Pythagoras and an account of historical data pertaining to his proposition. The remainder of the book shows 370…

This booklet is a collection of the papers presented at a joint session of the Mathematical Association of America and the National Council of Teachers of Mathematics during the fiftieth annual meeting of the MAA. These papers were presented under the headings of "Geometry and School Mathematics,""High School Geometry," and…

The teacher's guide for the seventh unit of this SMSG series covers the introductory chapter on perpendiculars and parallels and the chapter on similarity. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral…

This pamphlet lists five thousand current, readily available audiovisual materials in mathematics. These are grouped under eighteen subject areas: Advanced Calculus, Algebra, Arithmetic, Business, Calculus, Charts, Computers, Geometry, Limits, Logarithms, Logic, Number Theory, Probability, Soild Geometry, Slide Rule, Statistics, Topology, and…

This pamphlet offers information and advice to secondary school mathematics teachers in England. The background is set in the first three chapters, entitled "The History of Mathematics Teaching in England,""The Present Position in the Secondary School," and "The First Stages" (a brief review of elementary school…

The study investigated and compared the effects of a transformation and a non-transformation approach to tenth grade geometry on retention of geometry and on transfer in eleventh grade mathematics. A geometry posttest, an advanced algebra pretest, a geometry retention test, an attitude inventory and an eleventh-grade mathematics achievement test…

The first of three volumes of a mathematics training course for Navy personnel, this document covers a wide range of basic mathematics. The text begins with number systems, signed numbers, fractions, decimals, and percentages and continues into algebra with exponents, polynomials, and linear equations. Early chapters were designed to give insight…

This is the sixth volume of a series produced by the State Education Department of the University of the State of New York. Mathematics objectives and sample items included were originally developed by four local school districts and are not intended to be official or comprehensive, but an aid to teachers in constructing curricula and making…

The uses of geometry in everyday life, in various professions, and in other areas of study are discussed. The role of geometry courses in high schools and elementary schools is summarized. (MP)

Examples from some area tasks indicate that misconceptions about linear measurement can be carried over to area measurement; children will occasionally count points rather than length units or area units. (MP)

Two experiments involving geometry, statistics, and integers are presented. Practical problems of using individualized instruction are discussed as well as long-term benefits to students. (MP)