This book examines everything having to do with the triangle. It begins with a basic definition of the triangle and continues with discussions on tetrahedrons, triangular prisms, and pyramid shapes. Some ideas addressed include how triangles are used to measure heights and distances, the importance of triangles to builders, Alexander Graham Bell's…

This paper further develops an instructional method called here "process-object linking and embedding". The idea is to link the familiar mathematical processes to objects in a familiar situation, then re-embed the new link through mathematical symbols into their mathematical construction. It makes use of children's extra-mathematical,…

This guide is linked to a science curriculum and was designed for use by those involved with early childhood education. The goal of this document is to enable caregivers and teachers to use the curriculum in a more varied, stimulating, and developmentally appropriate way. Topics discussed include student attitudes toward mathematics, parent…

The activities presented in this guide are designed for elementary age students, and intended to provide hands-on, integrated learning experiences. A learning station format is indicated for open ended activities which include a "Preliminary Activity: Free Exploration First!", an "Introductory Activity: Architect/Builder", and…

This study investigated the nature of spatial ability, as measured by four instruments based on spatial orientation and visualization, and its relationship to the mathematical performance of elementary school pupils. Participating in the study were 127 elementary school students, 72 boys and 55 girls, ages 10 to 11 years. Spatial ability was…

Elementary notions to (1) clarify meaning of "set , (2) suggest why the notion of set is an important one, and (3) give some hints as to how a teacher might use the word in the classroom. (RP)

Suggestions are given for having students write or modify computer programs for listing prime positive integers and continued fractions, to help them discover mathematical concepts. Sample programs are included. (MNS)

Math teaching involves more development of computational skills than problem solving and concept analysis. Presented are four areas to consider in attacking the problem. (MD)

More work with fractions needs to be done in the elementary school, with emphasis on concepts rather than computational algorithms. (MP)

Discusses why university freshmen may be deficient in mathematics and investigates methods of diagnosis and remedy. Improvement of manipulative skills is emphasized. Deficiencies due to failure to understand concepts and notation are discussed in an appendix. (Author/SA)

The relationship between operativity on Piagetian tasks of number, classification, field dependence-independence, and mathematics achievement was investigated. In grades 2-4, field independence was related to high mathematics achievement. High operativity was related to high achievement in mathematics concepts only in the second grade. (Author/GDC)

Investigated sex differences in mathematical and spatial (visual-analytic) skills in groups of Hispanic, Black, and White students prior to and during adolescence. (JMB)

Reports on year-long classroom teaching experiments in two predominantly Latino low-socioeconomic-status (SES) urban classrooms which sought to support first graders' thinking of 2-digit quantities as tens and ones. Presents a model of a developmental sequence of conceptual structures for 2-digit numbers to describe children's thinking.…

Presents a problem suggested for students in grades one through six concerning the concepts of grouping, reasoning, and pattern finding. Discusses the student problem-solving process. (ASK)

Describes a research project that examined the effects of the Computer-Intensive Algebra (CIA) and traditional algebra curricula on students' (N=802) understanding of the function concept. Results indicate that CIA students achieved a better understanding of functions and were better at the components of modeling, interpreting, and translating.…