An approach to the teaching of steady-state recycle calculations is presented. Included are the solutions to two sample problems. (BB)

Provides a discussion and an example of a problem which occurs in mathematical contests or entrance examinations and deals with the question of the magnitude of exponentials. Includes additional illustrative examples. (RT)

Presented are eight student worksheets of block problems. Included are diagrams of the squares and hollow squares involved and a separate answer sheet for the problems. (CW)

An aspect of the long history of the struggle to quantify motion is briefly traced through three extended problem sets suitable for use in first year calculus courses. The sketch culminates with an application of simple mathematics to one of the most current problems in the theory of the universe. (Contains 2 figures.)

Math anxiety is an affliction that causes several intelligent students to believe, mistakenly, that they lack the ability to master the subject. Professors are starting to question their teaching tactics in hopes of tackling math anxiety, with some educators looking at ways to make their classes more interactive, while others are considering…

The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…

The author describes simple techniques for providing individualized help within a group teaching situation. (SD)

This study was designed to compare the relative effectiveness of word problem instruction based on Polya's approach to problem solving with Dahmus' word by word translation approach. When ninth-grade students were randomly assigned to one of these approaches, no differences in mean number of problems solved were observed. (SD)

RESEARCH OBJECTIVES WERE (A) TO DEVELOP A BATTERY OF INSIGHT-PROBLEMS FOR USE IN PROBLEM-SOLVING RESEARCH, (B) TO REPLICATE A TRAINING EXPERIMENT IN ORDER TO DETERMINE WHAT A SUBJECT MIGHT HAVE LEARNED IN A SPECIFIC SITUATION WHICH COULD INFLUENCE NONSPECIFIC SITUATIONS, AND (C) TO ATTEMPT TO TEACH SUBJECTS STRATEGY WHICH WILL ALLOW THEM TO…

The use of trial-and-error strategies to solve problems is endorsed. Types of problems with which trial and error is effective are discussed, with examples of how it is used, and teaching considerations are briefly considered. A computer program for one problem is included. (MNS)

"Mental work" recorded in primary mathematics classes as part of the Classroom Interaction Process is not a simple, single activity of drill or quiz but a set of overlapping activities with different functions. A more analytical approach to mental work is advocated to enhance its usefulness as a classroom activity. (Author/SJL)

Presents some ideas about how teachers can foster mathematical communication by encouraging students to find multiple solutions to problems. Discusses three problems that help develop communication ability in mathematics. Views communication of multiple solutions as an instructional strategy to help students make sense of mathematics. (KHR)

Discussed is the performance of college students on the task of solving chemistry problems involving Lewis structures. Difficulty of the task and of individual problems is described. A taxonomy of skills associated with Lewis structures is presented. (CW)

Various methods for solving the problem of finding when the hour and minute hand of a watch have the same direction are explored. The relationship of these problems to the educational environment and the maturity of the student are discussed. (CW)

Basing their conclusions on studies in which (1) textbook problems were classified by students and parents and (2) texts were coded on several variables (e.g. sexually stereotyped occupations), the authors find textbooks are biased. They suggest several teacher strategies for countering this bias. (SD)