A class of seldom-seen real-world applications of high school mathematics is described. The problems considered are viewed as more substantial than ordinary word problems and thus are thought to require a greater commitment of time and energy. Suggestions for student extensions of the project are made. (MP)

An approach to blending mathematics and art based on the development of student-made designs using some simply stated rules is detailed. Several examples are given along with suggestions for extensions of the activity. It is felt pupils will enjoy and be challenged by this blend of material. (MP)

Recreational mathematics is promoted as a type of play that enables children to acquire concepts and skills useful in learning mathematics. The activities suggested are geared for children from age three through grade three. It is argued that recreational mathematics is more effective than exercises such as workbook activities. (MP)

A series of situations is suggested incorporating hands-on activities involving concrete experiences with measurement. It is felt that the activities used to teach mathematics and science at the Middle School level need to be specifically suited for the young adolescent. Extensions are possible for in-depth investigations for more advanced…

The construction of a pentagon is divided into three problems, designed to enhance the traditional high school geometry class. The material is seen to serve as a potential springboard for many other activities. It is felt most students could not realistically be expected to solve the third problem by themselves. (MP)

The unmarked protractor appears to have been ignored in considerations of construction tools other than the standard straightedge and compass. Some geometric problems are presented which are designed to be done using only the unmarked protractor. They are thought to provide challenges to better students. (MP)

An approach to the instruction of maxima and minima problems that works with tools of geometry and algebra is presented. The focus is on a classic pie-cutting problem, which is viewed as an interesting and instructive task that is an excellent application of transformation geometry. (MP)

The mathematics for a lunar shuttle landing simulation is discussed using equations, charts and tables. (MP)

Details of a class exploration of graphs that drew upon knowledge about the behavior of particular kinds of functions and applied them in a new context are provided. (MP)

Cones as containers and envelopes are discussed with appropriate activities for middle grade children provided. (MP)

Story problems related to transportation are seen as tools to motivate students to study mathematics by relating the subject to the real world. Schedule making for transportation planning is reviewed. (MP)

Some methods of proof of traditional algebra problems using geometric methods are explored. The techniques used come from the original Greek approaches to these mathematical questions. (MP)

Suggestions are given for using a "Mobius Strip" poster. The experiences of one teacher using such a poster are related. (MK)

Some of the preoccupations of the "mathematically gifted children" subcommittee of the Teaching Committee are outlined. The subcommittee is engaged in preparing materials for the guidance of teachers in the identification of and provision for the mathematically gifted. (Author/MK)

This study of 30 fourth-grade mathematics classes sought to determine if the use of art-making activities to reinforce math concepts influenced students' attitudes toward mathematics and/or art; their mathematics achievement; or their creative thinking. Results indicated improved attitudes toward mathematics and increased elaboration ability. (SJL)