Worksheets and instructions are given for this activity whose objective is to develop the relationship between the lengths of the sides of a triangle and its classification by angle. (MP)

Presents a qualitative and global method of graphing functions that involves transformations of the graph of a known function in the cartesian coordinate system referred to as graphic operators. Explains how the method has been taught to students and some comments about the results obtained. (MDH)

For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…

This module, designed to help students find and identify various geometric shapes and solids, contains 26 worksheets. Topics covered by these worksheets include: identification and grouping of objects with particular patterns, work with pentagons, hexagons, spirals, and symmetry. Teaching suggestions are included. (MK)

A device is suggested for constructing triangles with the same area and the same perimeter. A proof is given as is a proof of necessary conditions for a special case. The question of congruence of the triangles is left to the reader. (LS)

On a triangular grid of equilateral triangles an analytical procedure is presented for solving puzzles that require one to measure out a specified amount of liquid from containers of various volumes. (JP)

The relationship between area and perimeter is presented through a series of laboratory-type activities and demonstrations. (SD)

This is part one of a three-part School Mathematics Study Group (SMSG) textbook. This part contains the first five chapters including: (1) Analytic Geometry, (2) Coordinates and the Line, (3) Vectors and Their Applications, (4) Proof by Analytic Methods, and (5) Graphs and Their Equations. (MK)

This is part one of a three-part teacher's guide for an SMSG text designed to be used as a one-semester course for twelfth-grade students. This guide includes a suggested time schedule, a teacher's commentary, and answers to exercises. (MK)

This is part two of a three-part teacher's guide to an SMSG textbook designed to be used as a one-semester course for twelfth-grade students. For chapters 6 through 10, this guide includes a teacher's commentary and answers to the exercises. (MK)

This is part three of a three-part teacher's guide to an SMSG textbook designed to be used as a one-semester course for twelfth-grade students. This guide contains a teacher's commentary and answers to materials that can be used to supplement the regular course found in the first ten chapters of the text. (MK)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include definitions, parallel and perpendicular lines, distance formula, midpoint formula, linear equations,…

The 1959 Royaumont seminar "New Thinking in School Mathematics," having agreed on the need for modernization, recommended that a second group of experts work out detailed synopses of the entire subject matter of secondary school mathematics. This book is the report of the second seminar and contains the Dubrovnik Program which stimulated…

This book, photographically reproduced from its original 1942 edition, is an extended essay on one of the three problems of the ancients. The first chapter reduces the problem of trisecting an angle to the solution of a cubic equation, shows that straightedge and compasses constructions can only give lengths of a certain form, and then proves that…

Problems involving the generation and counting of isosceles triangles interior to a given isosceles triangle are described. (SD)