A criterion-referenced test battery was devised for use with the mathematics program of the Mamaroneck Public Schools (New York) in 1971. After two annual administrations, the tests were revised in four ways. The format was changed, and the number of items dealing with geometry was increased; some items were revised to conform better with the…

This paper describes preliminary results of a study designed to explore the issue of translating geometric ideas from a diagrammatic mode to a verbal statement, and vice versa. The research model calls for comparisons of responses under 16 different conditions; these conditions are defined by question type and the nature of the translation to be…

The Minnesota School Mathematics and Science Teaching (MINNEMAST) Project is characterized by its emphasis on the coordination of mathematics and science in the elementary school curriculum. Units are planned to provide children with activities in which they learn various concepts from both subject areas. Each subject is used to support and…

This is the second of a two quin series which introduces the student to all the theorems usually included in high school geometry; emphasis is on understanding and use of these theorems without proof. The course develops definitions and properties of the plane and solid figures and formulates methods for finding their linear measure, lateral and…

Each of the ten chapters in this volume is intended to present an objective analysis of the trends of some important subtopic in mathematics education and each includes a bibliography for fuller study. The chapters cover primary school mathematics, algebra, geometry, probability and statistics, analysis, logic, applications of mathematics, methods…

A set of three teacher-prepared Learning Activity Packages (LAPs) in geometry, the units cover the topics of distance, lines, planes, separation; angles and triangles; and congruences. The units each include a rationale for the material, a list of behavioral objectives, a list of resources including texts (with reading assignments and problem sets…

The article presents a revised model for individualized mathematics programing for the learning disabled adolescent. (PHR)

Given are activities involving the use of triangles and triangle paper, in the form of problems that require searching for different possibilities to fit a given condition. (MP)

Describes group sessions in which children constructed frameworks from cardboard strips and paper fasteners and used these to develop geometric concepts. Numerous illustrations are included. (MA)

Evidence on the decline in preparation of entering calculus students and the relationship to high school preparation is presented, focusing on the trend toward the de-emphasis of trigonometry and analytic geometry in favor of calculus. Data on students' perception of the adequacy of their preparation are also presented. (Author/MN)

A classroom activity is described where students hunt for classroom objects that are answers to locus problems. Sample problems are included. (MN)

Reviews methods of determining apparent dip and highlights the use of a device which consists of a nomogram printed on a protractor. Explains how the apparent-dip calculator-protractor can be constructed and outlines the steps for its operation. (ML)

Brief articles are included on dropping perpendiculars, working with rational exponents, and finding the square root with base 10 blocks. (MNS)

A mathematics learning hierarchy was developed, with examples of lateral and vertical transfer instructional treatments--achievement only, or achievement with understanding--were used with 177 eighth and ninth graders. The achievement with understanding treatment was better for lateral transfer for most students, and vertical transfer for the more…

The five levels of the van Hiele theory are described. Then interviewing tasks designed to be presented to students in kindergarten through college are presented. Finally, responses from 14 interviews are discussed, with implications for teaching geometry. Extensive references are included. (MNS)