To discover a generalization from a pattern of data, students need to know how to analyze the data. This is a description of how high school students can find a formula to predict the number of spherical fruits in a piling by using differences. (JP)

The focus of these worksheets is on problem solving. Verbal problems involving number concepts are presented for primary levels; worksheets for the intermediate grades draw on geometric concepts, measurement, and elementary logic. (DT)

The authors discuss the evaluation of mathematics learning at four levels: associative learning, concept learning, principle learning and problem solving. (MM)

The first idea presented is an activity aimed at teaching students to reduce a fraction to lowest terms by looking for the greatest common factor (GCF) of the numerator and denominator. The second idea looks at ways to construct solution problems that are challenging but which do not bog pupils down. (MP)

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

In elementary grades, word problems that cannot be solved by a routine application of a single arithmetic operation can cause a great deal of difficulty. The role of several factors in children's performance when solving two-step problems of a given structure was probed. (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)

Many children do not appear to see any need to worry about the conventions for ordering operations or using brackets in algebra problems, due to the "intuitive" mode of approach they use in mathematics. The need to teach pupils the necessity of such conventions is discussed. (MP)

Some single species and two species interactions in population models are presented to show how credible examples can be used to teach an underlying, common mathematical structure within apparently different concepts. The models examined consist of differential equations, and focus on real-world issues. (MP)