This volume is the twenty-first in a series of 29 coordinated MINNEMAST units in mathematics and science for kindergarten and the primary grades. Intended for use by second-grade teachers, this unit guide provides a summary and overview of the unit, a list of materials needed, and descriptions of three groups of lessons. The purposes and…

Prepared for use by middle and secondary school teachers and administrators, this document provides guidelines for the selection of instructional materials to be used in the classroom. After presentation of general criteria for the selection of instructional materials in all subjects, selection criteria are given for the English language arts and…

This study examined the effects of level of instructional scaffolding on students' use of Geometer's Sketchpad and other software tools in a technology-integrated geometry curriculum. In order to revitalize education at the secondary level and in particular in the mathematics curriculum, educational reformers have advocated the incorporation of…

This proceedings from the annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education includes the following topics and authors: area measurement (C. B. Beattys, C. A. Maher); error patterns (H. C. Bebout); formative evaluation (J. C. Bergeron, N. Herscovics, N. Nantais); interactive…

This publication from the Department of Defense Education Activity (DoDEA) is designed to inform parents about the department's Grade Six curriculum standards in four major areas: language arts/reading, mathematics, science, and social studies. The integrated language arts/reading standards emphasize the student's evaluation of the effect of…

Presented are several consequences of Ceva's theorem which deal with ratios of segments formed when a parallel to one of the sides is drawn through the point of concurrency. The proofs of these theorems are included and are of varying degrees of difficulty. (KR)

Compared is the use of Euclidean and synthetic geometry in American and European schools. Included is the history of the major developments in the teaching of geometry. Discussed is the demise of formal geometry since World War II. (KR)

This article describes how the method of reducing the scale of a graph can be used to illustrate many theorems in geometry concerning angle size. Four examples are presented. A computer program is provided to illustrate how such rescaling of figures can be implemented in LOGO. (Author/YP)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)

Presents practical, teacher-tested tools and techniques based on National Council of Teachers of Mathematics (NCTM) standards for teaching mathematics. Covers Cognitively Guided Instruction (CGI) technique; story problems across the curriculum; advantages of using calculators in instruction; and manipulatives for plane geometry. Includes a chart…

Presents the results of a preliminary investigation into the feasibility of teachers constructing their own animations for the mathematics classroom using computer animation tools. Provides examples of animation constructed using "Ani ST" and "Mathematica" programs. Concludes that computer animation has potential to be a…

Presents activities that utilize representations of the side, front, and top views of three-dimensional configurations of blocks to develop spatial-visualization skills and aspects of the concept of function. Provides worksheets of these open-ended investigations. (MDH)

Presents activities to teach the formula for the area of a rectangle that require students to determine the cost of refurbishing their school's tennis courts. Students collect their own data, organize information, and make decisions individually and as a group to solve the problem. Worksheets are provided. (MDH)

Discusses a variation on tiling that offers opportunities for the construction of the fundamental mathematical concept of constructing abstract units called "unitizing." Tiling integrates geometric and numerical settings to develop spatial sense and present mathematics as constructing patterns. (MDH)

Describes an intermediate level, college geometry course that is designated as both writing and speaking intensive. Suggests methods that utilize writing and speaking activities to enhance student learning, and discusses student reactions to the course. (nine references) (JJK)