Beginning with an analysis of the golden rectangle, the author shows how a series of problems for student investigation arise from queries concerning changes in conditions and analogous situations. (SD)

A special topics elective course is described. The rationale and organization are discussed and examples of course content and student achievement are presented. (MP)

A unit analysis approach, advocated by science teachers, teaching students to solve proportions, is described. (JT)

A problem concerning the generation of an array of numbers is posed. The author examines the use of this problem in several secondary-school and college classes. (SD)

The article offers a curriculum of direct instruction to teach the process of solving arithmetic word problems to learning disabled students. Students are taught to use a plan, to test relevant hypotheses, and to evaluate their work. (Author/DB)

Provides a classification scheme for four-by-four magic squares. Presents some classroom activities. Introduces a notation system for individual cells in the square. (JM)

The problem of managing the reserve of cobalt is presented, followed by a method for bringing the stockpiled amount from any level to a desired goal. Solving a stochastic programming problem is involved. The procedure is discussed in detail. (MNS)

Math anxiety affects both sexes, and is not the cause of imbalance in mathematical professions. Attempts to broaden perceptions of mathematics deal only with the symptoms of math anxiety. The principal cause is the methodology used to teach mathematics. Problem-solving processes must be employed. (MNS)

Examines problem solving in mathematics teaching, giving consideration to various models of the problem-solving process and concentrating on strategies inherent and implied in the models. The notions of vehicles, operations, and levels of thinking are introduced and a teacher development project concerned with considering perspectives of…

Presents activities designed to provide students with an informal introduction to deductive logic through the use of the problem-solving skill of "eliminate possibilities." Includes rationale for the activities, background information, list of materials needed, objectives, four ready-to-copy student worksheets, and instructional…

Six algebra activities which use manipulative aids are described. The aids can be motivating, multipurpose, and individually manipulated by students. Some of the activities involve students in problem-solving practice and some can be revised to provide for students of differing ability levels. (JN)

Presents a problem that requires an experiment and which is nearly impossible to solve without adding new elements. Also provides tips on creating a problem-solving atmosphere in the classroom, offers a problem for middle school students to solve, and lists books containing nonroutine problems (appropriate for students in grades 4-8). (JN)

Presents ideas related to: (1) graphs (considering patterns, periodic functions, and problem-solving); (2) curing common errors (such as an incorrect way of canceling); (3) the median of a trapezoid; and (4) using a telephone directory to teach probability, graphing, random-number tables, reading tables, calculating percentages, and other topics.…

Presents activities involving the addition of antinumbers (which uses novel numerical characters); a puzzle which combines practice in working with polynomials and solving simple equations with intriguing facts about turkets; and searching for the number of different right triangles in a given square grid (which helps develop spatial…

Some misconceptions about learning are discussed and specific suggestions for helping students in a college developmental mathematics class learn how to learn mathematics are presented. Extensive footnotes are appended. (MNS)