Describes a take-home exam story problem based on stoichiometry. Requires the student to determine the percentage of phosphoric acid in a large container of nitric acid if a man fell into it. Provides assumptions, clues, and an acceptable solution. (MVL)

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)

For individuals to cooperate they must develop certain skills and understandings. Unless schools engage in specific activities that teach cooperation, students may lack the skills they need to function in an adult society. Cooperative learning has much to offer for the mathematics class. Students enjoy discussing mathematics with other students.…

Mathematics 30 is a 12th-grade mathematics course for students in Alberta, Canada. This document is the alternate form for the final test for the course. Intended for administration during January 1989, it contains 45 multiple-choice questions, seven open-ended scannable questions, and three written-response questions. Two and one-half hours are…

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…

This booklet, developed by the Oregon Vo-Tech Math Project, contains a series of mathematical problems related to vocations in agriculture. The mathematical topics on which problems are based include whole numbers; fractions; decimals; percent; use of formulas; charts and graphs; ratio and proportion; solution of equations; perimeter, area, and…

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 three teaching activities for secondary school mathematics classroom: designing a house; guessing the slope function in a calculus course; and solving the six problems of bisymmetric matrices. (YP)

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)

Examines whether verbal problem-solving skills in a group of fourth graders would improve if they were specifically taught how to generate their own diagrams when solving word problems. Classifies textbook word problems into three general types and describes them: (1) tabular; (2) geometric; and (3) contingency diagraming. (YP)