Analyzed are textbook word problems that are typically used as applications of mathematics and shows some of the difficulties in making these problems realistic. A discussion and examples of sources of genuine mathematical applications in real life follows. (MN)

Suggested is the presentation of problems for which student teams are to write computer programs which will reveal the results of guesses at the answer by users of the program. Illustrative problems and programs are included. (MNS)

Reviews research which indicates that students performed better on problems when extraneous information was absent than when extraneous information was present. However, recommends that teachers embed word problems with realistic contexts, that is, contexts that contain extraneous bits of information to help students transfer their problem-solving…

Investigates gender-related effects of a problem-solving plan for sixth graders (n=155). Analysis indicates a significant interaction effect of occasion of testing, test sequence, and gender. Concludes that females benefited from free exploration, of problem situations followed by an organized exploration whereas males appeared to function equally…

To help mathematics teachers introduce and reinforce concepts and processes by using relevant problems, several such problems are presented and discussed. (MNS)

Provides guidelines for developing and implementing lessons using selections from children's literature as meaningful and appropriate contexts for solving word problems. Selection procedures, materials for constructing the characters, and two sample problems are provided. Lists 15 references. (YP)

Presents results of a study to determine the effect of type-size on the mathematical problem-solving achievement of first, second, and third graders (n=259). Analysis of variance indicated that no significant differences in achievement existed. Concludes that textbooks can utilize smaller type sizes on word problems. (MDH)

Presented is a calculation for the probability of a athletic event. Assumptions, computations, and questions to be considered in the solution of this problem are discussed. (CW)

Describes a study whose purpose was to develop and validate a set of belief scales for measuring secondary school and college students' beliefs about mathematics as a subject, how mathematics is learned, and mathematical problem solving. Provides an example of the "Indiana Mathematics Belief Scales." (MDH)

Outlines a plan of action designed to enhance growth in problem-posing skills. The "blueprint" provides a model for teachers and teacher educators who wish to integrate more problem posing into their curriculum. Specific activities and instructional strategies are cited to illustrate the development of problem posing as a process in the classroom.…

This study examined the strategies used by pre-service teachers when responding to number sense related questions. 15 pre-service teachers from one University in Southern Taiwan were interviewed. Results indicated that about one-third of these pre-service teachers were able to use number sense strategies (such as understanding the meaning of…

Described is a two-week summer institute with 57 Ohio teachers in grades K-12. The teachers were given experiences in problem solving to help them broaden perceptions of real problem solving. Sixteen problem-solving strategies and four illustrative problems are included, and teachers' evaluative comments are discussed. (MNS)

Investigated the effect of the choice of a model's medium (algebraic expression or computer program) on the performance of students. Student programers did not transfer the qualities of a computer program approach to their algebraic models. Provides items for five tests. (YP)

Discussed is the meaning of the word "of" as is found in mathematical expressions that involve fractional numbers. The conceptual rather than numerical distinction is stressed. Teaching techniques regarding difficulties with this concept are suggested. (CW)

Presents an activity suitable for rainy days in which students solve a story problem to determine how fast a person should run in the rain to get the least wet. (MDH)