This report briefly describes and analyzes several of the most frequently used techniques for depicting trends and making projections of education statistics. Each technique is described simply and nontechnically, with its uses and shortcomings, and a step-by-step analytical and graphic example and explanation. Projection techniques described…

This booklet is a sample activity from an individualized instruction unit in mathematics. Agreement between the performance specified in the units' objectives, the performance taught in the instruction activity, and performance required on the posttest was a key criterion during the development of this material. The student is told what he is…

This monograph is a test of graphing and graph interpretation skills which assesses performance on all the skills of graphing which are contained in the AAAS program, Science - A Process Approach. The testing includes construction of bar graphs, interpreting information on graphs, the use of the Cartesian coordinate system, making predictions from…

Fifty-eight undergraduate and graduate student volunteers participated in a factorial experiment designed to test hypotheses about the effects of two levels of information organization and four types of adjunct prequestion treatments on performance on specific amount items and two types of items organized in the same manner as the graphical…

Although recent writings indicate the importance of personal contact structures in diffusing innovations and in determining perceptions, the internal contact structure of the school faculty remains unexamined. This study applies directed graph theory, a new branch of mathematics, to analyzing school contact structure. Sociometric data and…

This SMSG series of 14 student texts was intended to be a curriculum devoted to those mathematical concepts which all citizens should know. The first unit of this series includes a chapter on elementary geometry concepts (points, lines, planes, intersections, betweenness, separation, angles, and introductory coordinate geometry) and a chapter on…

This is a preliminary report of a project that is attempting to extend psychological research on stylistic differences in cognition to the study of teaching. This portion of the project measures students' preferences for three modes of mathematical expression; symbolic, verbal, and graphic. One hundred and fifteen junior high school students took…

THE CONCERN OF THIS STUDY WAS TO SET FORTH HYPOTHESES ABOUT HUMAN BEHAVIOR, HUMAN KNOWLEDGE, AND MATERIAL CHARACTERISTICS, AS FACTORS INVOLVED IN EDUCATION, AND THEN TO ESTABLISH WAYS FOR RELATING THE HYPOTHESES TO EMPIRICAL DATA. THE APPROACH TAKEN WAS TO INTERRELATE SET THEORY, INFORMATION THEORY, AND GRAPH THEORY WITH GENERAL SYSTEMS THEORY.…

This activity unit provides an example of how the construction and interpretation of graphs can be incorporated into elementary classroom activities. (MP)

Two procedures for the display of item analysis statistics are described. One procedure allows for investigation of difficulty; the second plots item difficulty against item discrimination. (Author/JKS)

Outlined is the preparation and use of graph paper for activities in counting' approximation, making bar graphs, and decimals. (MP)

Describes a systematic approach to the design of fixed-length, derived, truncated search keys for corporate author records; and a statistical method for predicting the performance of search keys for files of arbitrary size. (VT)

The operation of rounding is shown to lead into an investigation of an abstract mathematical system. Properties of the system are discussed and graphs of the rounding function are drawn. Some questions for discussion are given. (MP)

A magazine article is shown to contain material that could lead to discussions of several topics in mathematics. The article and the related mathematics are discussed in detail. (MP)

Activities described for using zucchini to teach measurement include: guessing, graphing, and measuring length and weight; comparing sizes and shapes; and puzzles. (MP)