Presented are four activities which integrate mathematics and science activities involving problem-solving skills. Topics of activities include derivation of pi (3.14), determining the volume of a bell jar, estimation skills, supplementary exercises using geometric and metric system tables, general laboratory exercises, and supplemental problems.…

More work with fractions needs to be done in the elementary school, with emphasis on concepts rather than computational algorithms. (MP)

Studies the developmental process of how the concepts of ratio and proportion do not develop in isolation, but rather are part of the individual's multiplicative conceptual field, which includes other concepts such as multiplication, division, and rational numbers. Follows one fifth-grade student as he attempts to schematize his…

Investigates students' understanding of the basic concepts of introductory set theory which are set, set element, cardinality, subset, and the empty set. Data was collected from preservice elementary school teachers. The project included experimentation with basic set concepts in an open computer-based environment using the mathematical computer…

Examines the struggles of Kyle, a 30-year-old male, to overcome his innumeracy and to master the routine numerical tasks associated with daily life. Describes Kyle's arithmetic and problem-solving skills and the intervention program designed to develop his ability to solve everyday problems. (Contains 12 references.) (MDH)

Abstract ideas in linear algebra are illustrated at different levels of difficulty through the investigation of the solution to a well-known puzzle. Matrices are used to model the puzzle and the concepts of rank, underdetermined systems, and consistency are employed in the solution to the problem. (MDH)

Presents activities utilized with primary teachers to alleviate instructional concerns about using calculators and provide reasons for using calculators in their mathematics instruction. Activities address the topics of estimation, number sense, numeration, whole number and fraction operations, probability, and problem solving. (MDH)

Discusses the equation and proportion methods for teaching how to solve percent problems. Supplements the teaching of each method by introducing a representational model that enhances understanding when solving percent problems. (MDH)

Proposes lessons for algebra students using the context of tax calculations to learn about the concepts of slope, split functions, averages, rates, marginal rates, and percents. Students explore ramifications of possible tax revisions. (MDH)

Described is a way that elemental mathematics can be applied to explain an astronomical phenomenon. The fact that the extreme of sunrise and sunset do not occur on the shortest or longest days of the year is analyzed using graphs and elementary calculus. (KR)

Argues that the dichotomy between domain-specific and general theories of cognitive development addressed in the "Merrill-Palmer Quarterly" special issue is unproductive. Suggests that polarities of generality and specificity exist in creative tension as seen through developmental processes. (Author/BB)

Teaching methods which can be used to teach statistics at the primary, intermediate, and middle grades are described. Teaching data analysis and problem solving in this context are discussed. (CW)

Emphasizes a real-world-problem situation using sine law and cosine law. Angles of elevation from two tracking stations located in the plane of the equator determine height of a satellite. Calculators or computers can be used. (LDR)

Discusses mathematical thinking and problems posed by seventh- grade students as part of a unit on the study of algebraic ideas. The unit involves showing how variables cause changes and also incorporates the solving of systems of equations by constructing line-graph drawings and combination charts. (AIM)

Three studies examined strategy flexibility in mathematical problem solving among high school students on Scholastic Assessment Test-Mathematics problems and among college students on Graduate Record Examination-Quantitative items. Results suggested that strategy flexibility was a source of gender differences in mathematics ability as assessed by…