Presents a series of activities using data collection and interpretation techniques designed for levels 1-8, 1-5, 3-6, and 4-8 that integrate mathematics and social studies through the common theme of television viewing. Includes an activity sheet for parents to use with their children, three class-activity sheets, and a data sheet. (MDH)

Describes the Agam program, a 36-unit curriculum program to introduce students to basic visual concepts and that applies visual abilities and visual thinking to learning tasks. Describes two units at the third grade level, "Ratio and Proportion" and "Numerical Intuition," and makes observations of the students' learning. (MDH)

Describes the relationship between language concepts and the basic patterns of mathematical expressions. Suggests ways to improve the reading comprehension, writing ability, and reasoning skills of school and college students by integrating language topics into the mathematics curriculum. Discusses the use of language concepts in algebraic…

Discusses results from studies reported from 1958-86 examining the different methods of teaching calculus. Alternatives to lecture presentations to supplement and enhance learning include discovery and group learning, self-paced classes, programed materials, and use of computers. (over 50 references) (MDH)

Highlights combinatorial problems appropriate for students aged 4 to 12 years that utilize manipulatives in a hands-on approach. Examines and identifies students' strategies and self-monitoring techniques that produce effective problem solving. (MDH)

Divided into two parts, this article analyzes why some pupils feel reserve about instantaneous velocities and instantaneous flows. The second part relates reactions of pupils facing a problem that implicates the instantaneous rate of change. Describes some characteristics of this problem that enables the authors to explain its instructional…

Presents an alternative to traditional story-problem instruction in which students write their own mathematics stories about familiar situations involving problems that can be resolved with the aid of mathematics. Provides excerpts from a typical class discussion to resolve the problem. (16 references) (MDH)

Politicians and educators recommend significant improvements in scientific and mathematical competency so Americans can be more competitive in tomorrow's high-tech economy. The article outlines shortcomings of current change proposals and describes an alternative that integrates various kinds of knowing, including science and technology, into an…

Discusses the role of teacher questioning in the development of a child's concepts of and about mathematics. Proposes the development of mathematical concepts and procedures in problem-solving situations through questioning that engages student thinking and decision making. (MDH)

Presents a series of four steps used in data analysis processes that help students investigate and interpret real world situations. Gives activities that employ computer software to create representative graphs of the data in the analysis process. (MDH)

Effects of group and individualized mathematics instruction were investigated in high and average ability elementary students, noting the impact of ability grouping on achievement. Students instructed in pairs scored higher on posttests than those working alone. Ability grouping influenced the nature of intragroup interaction. Generating and…

This study examined the effectiveness of a computer algebra system in teaching secondary school mathematics. Pre- and posttest results and time on task were compared for students receiving conventional instruction and those receiving computer-assisted instruction using an enhanced version of muMath, a standard computer algebra package. (four…

Discusses methods for teaching mathematics skills and describes a study of third graders that compared student performances on worksheets, a microcomputer drill and practice program, and daily one-minute timing procedures of precision teaching for independent practice of multiplication facts. Results indicate that precision teaching was the most…

Describes an eight-day graphing unit for grades four through six using data collected from a local cemetery. Provides the activities of each day and excerpts of discussions taking place during the lessons. Concludes that working with real data helps students construct meaningful graphs. (MDH)

Discusses the use and adaptation of alternative assessment procedures such as observation, interviewing, holistic scoring, checklists, and reading of student journals, to accurately determine the progress of students with learning difficulties. Includes scoring rubrics and many samples of student evaluation. (MKR)