Two experiments in instructional supervision were conducted to support teachers in changing their teaching behavior as they implemented a new math curriculum. The focus of the investigation was a method of teaching multiplication and principles of effective teaching. In the first experiment, instructional supervision, both with and without…

This study probed children's reasoning about both correct and incorrect but plausible statements of hypothetical children concerning the concepts of subtraction, with the intention of examining misconceptions in greater depth. Eight third graders, 14 fourth graders, and 14 fifth graders were interviewed individually to assess their understanding…

The Comprehensive Instructional Management System (CIMS) is a unified mathematics curriculum for grades K-7. The curriculum is cyclical in design, and reflects the most recent New York City and New York State guidelines. Utilizing the experience of classroom teachers, a teacher-designed curriculum was developed that includes a rich selection of…

This material is the result of 1 year of experimental work during the 1976-77 school year with pupils at the fifth-grade level. Once a week students participated in half-hour, small-group sessions in addition to their regular classroom mathematics period. It is felt that the activities described might be appropriate for additional grade levels. It…

This report describes the yearlong case study based on participant observation at a school which used ThinkAbout, a series of 60 15-minute instructional television programs designed to strengthen the reasoning skills of fifth and sixth graders, and to review and reinforce language arts, mathematics, and study skills. Discussion covers the patterns…

This guide represents the final experimental version of an extended pilot project which was conducted in the United States between 1973 and 1976. The manner of presentation and pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams")…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This New York City school district educational project sought to produce changes in a positive direction in academic achievement, attitudes toward school, and educational and vocational aspirations of two groups of disadvantaged children. One group consisted of children from public and nonpublic schools who had difficulty in learning because of…

Two approaches to math instruction were compared in the fifth grade of the Jordan (Utah) School District. For middle- to lower-socioeconomic-status (SES) pupils, the Goal-Based Educational Management System Proficiency Mathematics approach was substantially more cost-effective. For high-SES pupils, a more traditional text-oriented approach was…

In this lesson, students identify the question-answer relationship (QAR) for word problems that relate to a graphic or table. They then use the QAR strategy to determine the mathematical and cognitive actions required to answer the word problem. This activity is particularly appropriate for fourth- and fifth-grade students. During two 40-minute…

This document contains the revisions to the 5-8 Mathematics curriculum produced for Manitoba (Canada) teachers. It contains an introduction and seven content sections: Problem Solving, Algebra, Data Management, Geometry, Measurement, Number Concepts, and Number Operations. The introduction includes discussion of: rationale, goals, big ideas…

Is educational technology effective in increasing student learning? If technology is an effective tool in the classroom, how can teachers best be trained to use it appropriately? An experiment was conducted to determine the effectiveness of a constructivist math class utilizing computer technology as well as other tools. The study occurred in a…

Presents an activity on reading data from a table, estimation, computation, and 15 questions about the activities and their solutions. (ASK)

Presents activities taken from the National Council of Teachers of Mathematics Addendum Series, grades 5-8, involving data collection and chance. Students determine whether a game is fair based on the data collected and examine rule changes to ensure fairness. (MDH)