Explores the close relationship between pattern formation and traditional geometry using the LOGO programing language with the specific example of joining squares, corner to corner, to form a closed ring. Includes the LOGO programs utilized, as well as color illustrations of the interesting and eye-catching patterns generated. (JJK)

Ways in which the standards of problem solving, communication, reasoning, and connections can be incorporated into the elementary geometry curriculum are identified. Visualization of figures, conservation of area, shape and space, and multicultural study are discussed. (KR)

This article describes an activity in which students plot collections of ordered pairs according to prescribed set conditions. The coordinate plane sets can have rich variety, and their construction fosters critical thinking, attention to detail, and algebraic reasoning. (Contains 3 figures.)

This article describes the activities that fifth-grade students experienced when learning about the moon, its phases, and eclipses. It illustrates how mathematics and science can be integrated to enhance the learning of both. (Contains 3 figures.)

The introduction of quilt pattern consisting of many quilt blocks formed by congruent triangles, for writing by the students in the geometry classrooms, is studied. It is found that the students enjoyed this method and writing also helped in understanding the geometric concepts expanding their vocabulary in geometry.

This research was designed to investigate several primary questions in comparing the Logo floor turtle to the Logo screen turtle: (1) Do young children gain different geometric concepts from experiences with the floor turtle than they do with the screen turtle? (2) Do young children learn to use the four basic Logo commands more efficiently with…

This book is intended for middle-grade mathematics teachers who are searching for a wide variety of appropriately challenging and motivating problems with which to supplement regular textbook offerings. The 125 problems presented were found in the "Arithmetic Teacher" from 1975 to 1990. References are given both to the articles that contain these…

This document consists of 51 articles (originally published in the "Arithmetic Teacher") which provide teachers with ideas for manipulative aids and activities. Guidelines used to select articles for this collection called for them to have a clear purpose and be related to a contemporary topic in the elementary school mathematics curriculum, to…

Prepared for use with thirteen modules (CE 025 468-480) in the Unified Technical Concepts postsecondary physics instructional package, this set of eight support modules is designed to strengthen mathematical and laboratory skills in areas such as units, graphing, logarithms, dimensional analysis, and basic trigonometry. Module titles include…

This curriculum bulletin is designed to help teachers meet the diverse needs in mathematics of the children in fifth grade classes. In addition to the emphasis that is placed on arithmetic computational skills, the bulletin shows how to include other areas considered important, such as concepts, skills, and ideas from algebra and geometry. The 80…

Presented are four activities (each accompanied by ready-to-duplicate worksheets) dealing with: colors and shapes (grades K-2); using a coordinate grid in map reading (grades 3-4); order pairs of whole numbers (grades 5-6); and locating ordered pairs of rational numbers in the coordinate plane (grades 7-8). (JN)

The material provides secondary students with opportunities to count deductively, collect data, look for patterns, check and modify patterns after obtaining further data, establish patterns, and check validity. Worksheet masters suitable for classroom duplication are included. Students should have certain prior experience with models of regular…

The need for development of a curriculum that provides vertical links between earlier and later work and horizontal links with other topics in mathematics and other subjects is promoted. Much of the material describes explorations of circles and cones suitable for many levels. (MP)

Presented is an example of a question that can be used to investigate probability and random triangles. Included is the question, analysis, and procedure for solving the question. (KR)

Described is a geometric view of Singular Value Theorem. Included are two theorems, one which is a pure matrix version of the above and the other that leads to the orthogonal diagonalization of certain matrices, i.e., the Spectral Theorem. Also included are proofs and remarks. (KR)