The author discusses mathematics problems given to a group of primary teachers studying properties of numbers. Using a milk crate and bottles as a problem, the teachers diverted to exploring extrapolations. (MP)

How children give meaning to problems solved by multiplying or dividing is considered. After showing two cases of children's understanding of multiplication problems, six recommendations for classroom practice are presented. (YP)

Examined were the relationships between three qualities: students' knowledge of chemical terms, the relationships they recognize between these terms, and their achievement. Used were an explanation test, an achievement test, and a connectivity test. Results indicated knowledge of terms was a necessary, but not sufficient, prerequisite for…

Discusses making tessellations by using a polyomino. Illustrates the various ways for various shapes of polyomino. Provides several diagrams and instructional guides. (YP)

The transformation assigning to every point its inverse with respect to a circle with given radius and center is called an inversion. Discusses inversion with respect to points, circles, angles, distances, space, and the parallel postulate. Exercises related to these topics are included. (MDH)

Presents five activities for multiple grade levels and family use that connect mathematics and football by using the Super Bowl. Mathematical concepts involved in the activities include number sense, geometry, measurement, statistics, estimation, and problem solving. Includes reproducible worksheets. (MDH)

From 1984 through 1988, the authors worked with teachers using an inquiry approach to teach high school geometry courses with the aid of the "Geometric Supposers." Problems are a critical component of the approach because they focus attention and energy and guide students in the application, integration, and extension of knowledge.…

This book shows how to increase one's power to analyze and comprehend problems. First, it outlines and illustrates the methods that good problem solvers use in attacking complex ideas. Then it gives some practice in applying these methods to a variety of questions in comprehension and reasoning. Chapters include: (1) "Test Your Mind--See How…

This study attempted to identify the things that help elementary school students solve verbal problems. Among the types of things included for examination were: the attributes of problems, the tools used, and the problem transformations that were possible. The summary of findings is comprised of 29 diverse types of statements grouped under four…

Variation in syntactic difficulty in arithmetic problems is studied to determine its influence on students' ability to solve problems correctly. Findings in a study of elementary school students indicated syntactic difficulty affects problem solving ability, regardless of sex (f=fiche number). (MH)

Describes an exercise designed for an introductory level calculus-based physics class. Presents a problem on why a rod dipped in water is stable when it is oriented at an angle with the vertical. Discusses qualitative understanding, mechanical understanding using equations, and experimental verification of the problem. (YP)

Field tested with students in grades 10-12, this manual is designed to teach students in marketing courses basic mathematical concepts. The instructional booklet contains seven student assignments covering the following topics: why basic mathematics is so important, whole numbers, fractions, decimals, percentages, weights and measures, and dollars…

This manual provides a comprehensive approach to problem solving; it is written in narrative style with numerous examples. The guide is organized in eight sections that cover the following topics: (1) problem-solving overview (with suggested readings and recommendations for schools); (2) a five-step model for solving problems; (3) strategies for…

This handbook, developed by teachers in Manitoba, has been structured to provide teachers in grades 3 through 6 with a resource for teaching problem solving in mathematics. It consists of four sections. The first section establishes the background and states the purposes of the handbook. The second section provides a general overview of problem…

Presents three reproducible worksheets which contain verbal problem situations in which numerical quantities have been omitted and represented by geometric shapes. The objective of the material is to develop the students' ability to analyze the mathematical structure in verbal problem-solving situations. (PK)