The subtraction ideas presented are designed for elementary and junior high school children, yet are felt to be flexible enough to offer some challenge for high school students, particularly in algebra. (MP)

The need for incorporating algorithmics into mathematics instruction is presented. The proliferation of computers is seen to have made the designing of algorithms an essential skill. Examples are given, and the view that mathematics will lose much prestige and importance if algorithmics is not integrated into it is presented. (MP)

Gardening is the theme for a series of worksheets that present a variety of problem-solving activities that emphasize the construction, use, and interpretation of diagrams, graphs, and tables. The material is designed for duplication for classroom use, and suggestions for ways of going further are provided with each activity. (MP)

The needs of mathematics teachers who wish to provide relevance in their lessons, and the need to infuse energy topics into all disciplines in the curriculum at all grade levels, are addressed. It is felt children could be adversely impacted by present energy practice, and education is essential. (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)

Ways are identified in which typical textbook word problems can be used to better fulfill their role in the development of mathematical concepts and a sound instructional program of mathematical problem solving. (MP)

The need for improving the dialog between teacher and student is promoted as an important step towards improving the mathematics curriculum. (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)

Three ideas are presented: (1) using a detective story format in problem-solving activities; (2) the mathematics of modern trademarks which express a variety of mathematical ideas; and (3) an approach to the proof of the mean-value theorem that examines the problem geometrically. (MP)

A case is presented for the importance of focusing on: (1) average ability students; (2) substantive mathematical content; (3) real problems; and (4) realistic settings and solution procedures for research in problem solving. Suggestions for ways to modify existing applied problem solving materials are given. (MP)

Three models to predict future world records for footraces are reviewed. The records for the mile run are presented with time and year given in linear, hyperbolic, and experiential relationships. (MP)

A tool to aid elementary calculus students in the computation of unusual limits is reviewed. (MP)

Comments on the results of the second mathematics assessment done by National Assessment of Educational Progress by the president of the National Council of Teachers of Mathematics. A "critical need for attention to higher-order cognitive skills" is pointed out. (MK) Aspect of National Assessment (NAEP) dealt with in this document:…

The author shows how the teaching of mathematics may be adapted so that it is "humanized." It is asserted that the standard mathematics program "...appeals to the intellect, but attaches no value to other human qualities such as emotions and ethical character." (MP)