Twenty first-grade teachers' use of knowledge from research about mathematical thinking of children was compared with that of 20 teachers who did not participate in an analysis of research. Implications for teacher education and practice are discussed. (SLD)

Describes study of junior high school students in Israel that tested the effectiveness of microcomputer-based software designed to shape students' intuitions in the understanding of graphs of quantitative relationships. Retention and integration of microcomputer activities are discussed, and treatments for the experimental and control groups are…

Discusses how primary school students use language as a tool for learning mathematics and develop their language abilities at the same time. Shares how students use a research approach as they investigate mathematics and use language in their speaking, listening, reading, and writing. (MG)

Describes the nature of computerized data bases. Provides an activity using a data base and designing a data base. (YP)

Presents techniques for developing spatial visualization while dealing with concepts of area, proportion, and symmetry. Provides the objectives, directions, extensions, answers, and worksheets for each of the four activities. Describes involving parents. (YP)

Describes methods for teaching able students mathematical problems. Provides four problems and discusses the students' responses to them. (YP)

This article contrasts traditional approaches to teaching science and mathematics with a research based alternative designed to promote conceptual level understanding in students. This alternative type of instruction should be focused and coherent, negotiatory in its interactive style, and strongly analytic or diagnostic on the teacher's part.…

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)

Describes two simulations for practicing arithmetic skills: "Calculators," simulating the management of a store with a calculator, and "MECC 'Sell' Series," simulating profit-making with different levels of difficulty from grade two to eight. Provides hints for classroom use. (YP)

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

A longitudinal study investigated whether or not discussion in the mathematical classroom was an aid to understanding. This preliminary analysis showed that evidence to support the hypothesis has been limited. A method of classification of mathematical talk is described. (Author/YP)

Illustrates how teachers or students can use spreadsheets. Shows the layouts, formulas, and data of two cases: budget manager and data manager. Seven references are listed. (YP)

Documented are major categories of errors that appear as children learn decimal fractions. Then the conceptual sources of these errors are established. Different curriculum sequences influence the probability that these classes of errors will appear. They can be used as diagnostic tools to detect children's understanding of mathematics topics.…

This aptitude-treatment interaction study explored the relationship between cognitive restructuring ability and treatments varying in the amounts of teacher guidance on tasks with fractions. An interaction was found between cognitive restructuring ability and levels of teacher guidance for items having continuous perceptual distracters. (MNS)

A study assessed the effects of assigned versus self-selected goals and contingent versus non-contingent gameplay conditions delivered during computer-assisted math computation drill-and-practice sessions. Subjects were 20 high-school students with learning disabilities. Self-selected goals were more effective; no differences existed between…