Report on questionnaires sent to 200 leading mathematics educators in the country asking their opinion on what mathematics should be taught to low achievers in the junior high school. Results tend to confirm the existence of widely conflicting views on what mathematics is most appropriate for low achievers. (RP)

This material shows how to use basic techniques, principles of counting, and geometry to count squares on geoboards. The methods are elementary in that the proofs are easily conceptualized. A discussion of other approaches illustrates that easily stated problems may lead to very difficult and sophisticated methods. (MP)

Bulletin board possibilities are suggested for a sequence of topics and chapters taken from a typical, commercial, first-year algebra textbook. Each bulletin board not only correlates with the mathematics chapter topic, but also represents a pedagogical approach such as exploration, enrichment, reinforcement, initial exposure, and application. (JN)

Set concepts are used in this story about a swimming excursion in France, with "real" applications of mathematics presented. (MNS)

Important characteristics of literal symbols are considered. How letters are like numerals and words, but different, are discussed. Teaching suggestions are included. (MNS)

The study of number bases, facilitated by programing a microcomputer, helps students make mathematics discoveries. Several programs are given and discussed. (MNS)

A procedure for generating the "nth" term of figurate numbers is given. (MNS)

A card trick that can be explained and justified using first-year algebra is presented. It illustrates the power of mathematics to unmask seemingly complex situations. (MNS)

The application of the Hamilton method for apportioning seats in the United States House of Representatives is presented based on the 1980 census. It is felt that this method is preferable to the equal proportion method currently used if for no other reason than the greater appearance of fairness. (MP)

The Weight Problem of Bachet de Meziriac is described, which looks for four integral weights to measure every amount between one and forty kilograms. Discussed are generalizations of the problem and analogous problems, solutions of particular cases, and a solution of the general problem. (MP)

The approach discussed intuitively illustrates how a problem can be analyzed by breaking it down into parts. The method makes extensive use of graphs of absolute value functions and is broken down into three stages. Each stage is covered in some detail. (MP)

The usual methods for solving quadratic equations are noted to require either the use of numerical formula or curve plotting on graph paper. The method described here enables pupils to solve equations using only a 45 degree setsquare, graph paper, and a pencil for those which have both real roots and real coefficients. (Author/MP)

A series of problems is presented that (1) focus on certain kinds of numbers or (2) emphasize a specific concept of number theory. Several are appropriate for extensive investigation with a computer. (MNS)