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)

A mathematical derivation is given, developing the cardioid as an epicycloid locus. Curve-stitched designs are given for a family of epicycloids. (MP)

Types of presentations for quantitative data are defined and illustrated, and their attributes are discussed with recommendations of formats for specific purposes. (Author/STS)

Graphing is an integrative skill because you can use it whether you are teaching measurement or geometry or number theory or most any other topic. It is also important as a mode of communication which can simplify a large amount of information. Here are five steps for effective presentation of graphing to young students. (Author/RK)

Suggests some aspects of the school environment which can initiate graphing experiences as well as present some guidelines for graphing. (Author/RK)

This paper discusses several applications of combinational mathematics to social situations and problems in the social sciences. (SD)