This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

Describes mathematics education programs in Texas schools. Emphasizes the mastery of skills and concepts, as well as problem solving. Presents the philosophies of the mathematics programs for elementary schools, and for grades seven and eight. Addresses remediation, enrichment, time allotment, content, recommended manipulative materials, and…

Describes mathematics backpacks containing four mathematics activities designed to (1) strengthen the home-school connection; (2) present open-ended activities that encourage discussion; and (3) engage students and parents in learning mathematical concepts. Provides a sample draft letter to the parents, example activities, guidelines for…

A committee composed of students, parents, teachers, administrators, college/university persons, and representatives from business and industry carefully studied the mathematics curriculum in North Carolina public schools and formulated the recommendations contained in this report. It contains ideas, suggestions, and information resulting from…

This practicum was designed to expand the scope of the inservice mathematics manipulative training program to address the lack of parent and teacher understanding of the use of manipulatives that are used by Chapter I math tutors to remediate students. A second aim was to acquaint and assist parents and teachers with remediation of educationally…

This collection contains the keynote address and several presentations that were delivered at a University of Minnesota conference on issues in early childhood education. Keynote speaker Rheta DeVries discussed three tasks facing the educator who is learning to be a constructivist teacher: understanding the nature of the child's mind; overcoming…

Reasons for poor performance in mathematics by students in the United States are discussed. According to the authors, too many students never experience arithmetic at a physical, concrete level. Students are drilled in arithmetic facts without any meaningful context and are given few opportunities to use numerical concepts in real-life…

This annotated bibliography lists research synthesis in elementary school mathematics. The listings are in alphabetical order, but are also indexed according to topics. Among the 17 topics included are: calculators, problem solving, sex differences, and diagnosis and remediation. (MK)

This book contains two case studies of teachers telling epic oral stories to teach math to elementary and middle school students. The book also includes theoretical discussions of essential elements of oral storytelling, multicultural education, how oral storytelling can help children who have difficulty learning mathematics, and mathematical…

Presents five activities to help students construct meaning for multiplying fractions through real-world problem contexts, physical or pictorial models, the recognition of patterns, and the use of calculators. In the context of a garden plot, worksheets examine various aspects of parts of plots, patterns in plots, and a maximization problem.…

Reports development and results of the Kramer Project, a two-year study of the implementation of a problem-solving, activity-based mathematics program in the elementary grades. Describes the mathematical content covered, participating teachers, instructional materials employed, inservice teacher training provided, and academic achievement gains of…

Presents a unit of study involving tangrams that integrates geometric relationships, scale drawings, graphing, patterns, and logical thinking. Provides worksheets for independent and cooperative activities to discover geometric shapes using a specified number of tangram pieces. (MDH)

A longitudinal study followed Brian from grade five through grade seven to examine his representation and development of mathematical knowledge. Some observations over the four years were that Brian liked to figure things out, responded poorly to suggestions not fitting the representation he constructed, and changed attitudes from purposeful and…

Reports results from a project designed to bring about student conceptual change by using multiple modeling and representation as well as links to other areas. Students developed rules as conveniences and meanings for symbols, were active in learning, made interpretations, and had confidence in their thinking. (MKR)

"Seeing Fractions" is an instructional unit for teachers in California that was trial tested in about 30 classrooms, grades 4 through 6 with diverse student populations, and designed to help students become aware of the variety of ways in which fractions are commonly used. The Introduction includes an overview of fractions and what…