This book contains the first seven chapters of a pilot mathematics sequence for the seventh and eighth grades. The content of the sequence is to serve as a vehicle for the development of relevant computational skills, mathematical reasoning, and geometric perception in three dimensions and is to reflect the application of mathematics to the social…

The LOGO activities of a group of 16 sixth-grade students, representing a full spectrum of ability, are documented with a view of developing ways of capturing the learning possibilities of such an environment. The first group of eight subjects completed 25 closely observed hours, extending over seven weeks, in a LOGO classroom situated in a…

This module is recommended as an honors unit to follow a unit on logic. There are four basic parts: (1) What is a Boolean Algebra; (2) Using Boolean Algebra to Prove Theorems; (3) Using Boolean Algebra to Simplify Logical Statements; and (4) Circuit Problems with Logic and Boolean Algebra. Of these, sections 1, 2, and 3 are primarily written…

This outline of instruction, instructor guide, and student job sheets for a secondary-postsecondary-level course in Drafting I are one of a number of military-developed curriculum packages selected for adaptation to vocational instruction and curriculum development in a civilian setting. Purpose stated for the sixty-three-hour course is to teach…

This book is the teacher's manual to a text designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. It is a manual of suggested teaching strategies and additional materials aimed at compensating for past student failures to understand mathematical concepts. This book, L, is…

This publication contains the substance of all papers submitted at the fall 1974 Association of Teachers of Mathematics in New England (ATMNE) conference. As the title indicates, the focus of the publication is directed toward mathematical applications. The 25 papers cover topics ranging from applications at the elementary school level to those…

This document contains the efforts of a group of teachers to develop curricular materials designed to correlate the subject matter of mathematics with that of a shop course in power mechanics. It is not an adaptation of traditional courses in mathematics, but an attempt to integrate the subject matter of mathematics into the concepts utilized in…

Discussion of the use of color in microcomputer-based educational software focuses on a study of Israeli ninth graders that examined the differential effects of three color treatments on the learning of geometric concepts by students with differential aptitudes. Hypotheses tested are described and results are analyzed. (28 references) (Author/LRW)

Considers the problem of how to go from three coordinates to two. States that it is not a problem that mathematics students ordinarily encounter. Presents four methods of graphing three-dimensional figures on a two-dimensional computer screen. (PK)

Confronts a widespread prejudice about mathematical knowledge, that mathematics is "culture-free," by demonstrating alternative constructions of Euclidean geometrical ideas developed from the culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of…

Both industrialized and Third World countries see the need to "multi-culturalize" their mathematics curricula. Following a brief description of the drawing tradition of the Tchokwe people (Angola), some possible uses of their pictograms in the mathematics classroom are suggested. Examples given in this paper include the study of arithmetical…

Describes a sequence of activities for experimenting with scaling and includes a method for revising any turtle graphic procedure so that it can be drawn to a variety of scales. (PK)

Describes three pieces of practical work (hands-on activities) which have been successful in Scottish secondary schools. Activities involve geotiles, working with percentages, and activities for higher mathematics. (PK)

Results from the third national mathematics assessment indicate that the decline in performance of 17 year olds between 1973 and 1978 has leveled out over the last four years, and 13 year olds' performance improved significantly between 1978 and 1982. However, most gains were on lower-order skills. (MNS)

Geometric axioms are discussed in terms of philosophy, history, refinements, and basic concepts. The triumphs and limitations of the formalism theory are included. Described is the status of high school geometry internationally. (KR)