To determine how children cope with some of the demands imposed on them by arithmetic word problems, 200 sixth-graders were asked to solve prolems modeled after those used by the National Assessment of Educational Progress. A quantitative demand was imposed on the children by adding extraneous information to the problems, and a verbal demand was…

The ways in which students in grades five and six solve problems is the focus of this paper, which provides background for the staff of the Skills Essential to Learning Television Project, (a multi-level series of video and print resources for classroom use). It considers the problem-solving process categories of understanding, transformation, and…

The two main objectives of the present study were to get a better understanding of sixth-graders' solution processes with respect to arithmetic word problems and to investigate the possibility of improving children's problem-solving ability through instruction. As background for the study, a hypothetical model of the problem-solving process was…

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 George 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 monograph is designed to furnish classroom teachers with insight and ideas for teaching reading more carefully by emphasizing the what and how aspects of instruction. It is written for the teacher of mathematics in the middle and secondary grades who realizes the important relationship between effective reading skills and learning…

Presents an activity, suitable for students in grades 6-12, on generating random numbers. Objectives, equipment needed, list of prerequisite experiences, instructional strategies, and ready-to-copy student worksheets are included. (JN)

Activities are presented to give students a picture of decimal concepts of tenths and hundredths. Three models (linear, regional, and value) are described, followed by four activities. (MNS)

The effectiveness of an experimental mathematics teaching program was investigated. Observational measures revealed that teachers implemented the treatment. Analyses of product data showed that students of treatment teachers outperformed those of controls. Thus, teachers and/or teaching methods exerted a significant difference on student progress…

Describes an extended investigation of polygons and polyhedra which was conducted in response to a challenge posed in Focus, a newsletter from the Mathematical Association of America (MAA). Students were challenged to construct a polyhedron with faces that measure more than 13 inches to a side. Outlines the process, including the questions posed…

Discusses the different learning styles of gifted middle-school males and females in single-sex algebra classes. Discusses the barriers faced by girls in mathematics courses and the benefits of providing girls with opportunities to think and problem solve in an environment less permeated with societal expectations of femininity. (CR)

Presents activities to help students develop the notion of geometric congruence and similarity in a hands-on environment. (ASK)

Investigated the relationship between peer-tutoring interactions of dyads and experience in a reciprocal peer tutoring (RPT) program in mathematics. Analysis of 40 at-risk fourth- and fifth-grade students indicates that RPT participants displayed significantly higher rates of mathematics achievement, social acceptance, and other favorable measures…

Data were collected from 540 fifth-grade students on problem solving, justification, and explanation of fractions. Fewer than 10% performed adequately on the explanation task. Students who received a seven-day instructional program on fractions in measurement contexts performed better than students receiving traditional part-whole instruction.…

Graphs from media sources and questions developed from them can be used in the middle school mathematics classroom. Graphs depict storage temperature on a milk carton; air pressure measurements on a package of shock absorbers; sleep-wake patterns of an infant; a dog's breathing patterns; and the angle, velocity, and radius of a leaning bicyclist…