Several brief articles are included in this section. "Purple Puzzlers" are challenging problems for algebra students. "Linear Invaders" is a game to reinforce concepts of graphing lines. "The Diagonal Method" is used to prove that the real and natural numbers cannot be put into one-to-one correspondence. (MNS)

The focus is on graphing activities, in which students locate points on a coordinate system and name points by an ordered pair of numbers. Worksheet masters designed for duplication for classroom use are included. Practice is provided with coordinate grids, and student exploration is promoted within the materials. (MP)

The activities presented here focus on symmetry. The materials aim to provide experience in: (1) observing grid-drawn pictures and coloring in appropriate squares; (2) making symmetric designs about two lines of symmetry; (3) using a ruler and protractor; and (4) using a ruler, protractor, and compass. Worksheet masters are provided. (MP)

It is noted that all graphs of cubic equations are symmetric about their inflection points. This is proven through the use of some calculus and the fundamental theorem of algebra. A table sums up the nature of symmetry for polynomials of any degree. (MP)

The lesson described first involved tossing a pair of dice and recording on a graph the sum produced on each roll. Pupils examined questions such as which sum occurred most often. The second part involved a graph that indicated which types of sums were most likely to occur. (Author/MP)

The use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)

Describes how to use certain action research methods to increase researchers' access to intergroup relations embedded in organizations. Discusses studies using these methods in two corporations--one on work group relations and the other on race relations among Black and White managers--and notes implications for intergroup relations theory.…

Several methods of numerical mappings other than the usual cartesian coordinate system are considered. Some examples using parallel axes representation, which are seen to lead to aesthetically pleasing or interesting configurations, are presented. Exercises with alternative representations can stimulate pupil imagination and exploration in…

Five reasons why graph work is effective are given, followed by suggestions for making bar, picto-, and line graphs. (MS)

Describes work performed under the Spelling Error Detection Correction Project (SPEEDCOP) at Chemical Abstracts Service to devise effective automatic methods of detecting and correcting misspellings in scholarly and scientific text. The trigram analysis technique developed determined sites but not types of errors. Thirteen references are listed.…

A hungry worm is looking for something to eat according to very specific rules, and the path he takes is a graph. The problem is detailed in Applesoft BASIC using low resolution graphics for worms that turn 90 degrees and high resolution for worms that can turn 45 degrees. (MP)

A program developed by a high school freshman is presented that plots unusual graphs on the screen of a TRS-80 computer. The view promoted is that teachers of advanced mathematics should not be surprised if new ways of looking at the subject come from students interacting with computers. (MP)

A teaching experiment to evaluate the language approach to learning graphical interpretation is described. A series of experiments using a science laboratory were described using either tables or graphs and the approaches contrasted. (MP)

The article discusses the experiences of the writer when using simple surveying as a practical topic with secondary school children. (Author/MK)

Described are graphing activities which can be instrumental in introducing the mathematics concepts of counting, sorting, grouping, and comparing on the primary level. On the intermediate level, these activites can be used to introduce collecting and sorting unorganized data, and creating graphs to represent the data. (Author/TG)