P-adic or g-adic sets are sets of elements formed by linear combinations of powers of p, a prime number, or g, a counting number, where the coefficients are whole numbers less than p or g. Discusses exercises illustrating basic numerical operations for p-adic and g-adic sets. Provides BASIC computer programs to verify the solutions. (MDH)

Describes a class activity in which students create word problems associated to specific arithmetic problems that are then edited in their English class. Using the computer laboratory and a word-processing program under the supervision of the media specialist, the problems are compiled in a booklet, printed, and distributed. (MDH)

College algebra is currently being taught using graphing calculators such as the TI-81. This document presents exploratory and problem solving activities that have resulted from classroom experiences with the TI-81. The activities have been designed to enhance the learning of some standard college algebra topics through the easy access to…

This monograph provides activities for beginning algebra students to develop an understanding of the meaning and use of letter symbols, to show applications of algebra in their own lives, and to develop an understanding of mathematical processes through investigation. The activities included were developed by considering the students' mathematical…

This curriculum guide was designed by the Coudersport, Pennsylvania, school system to be used in teaching 0-4 level mathematics skills to adult basic education students. The guide is intended to provide consumer-oriented, problem-solving material that correlates with those skills found in the Noonan-Spradley Diagnostic Program of Computational…

The needs of above-average junior high school students are discussed. A set of 'daily twisters,' or problems of various types, were collected, and examples are noted. Recommendations on content and pedagogy are described. (MNS)

A collection of word problems for fifth and sixth grade students are presented. The problems, which are divided into four sections and which get progressively more difficult in each section, include: (1) 38 problems on ratio and proportion; (2) 40 multistep problems (problems which require more than one calculation); (3) 40 problems on geometry…

These materials were developed for use in workshops with teachers. The document suggests a four-stage framework which students can apply to problems: (1) get to know the problem; (2) choose what to do; (3) do it; and (4) look back. Suggestions are included for each of the four stages of the probem solving process. Other specific techniques for…

Outlines the development of a lesson structured around four stages of problem-solving. Provides five problems and questions for understanding, getting started, and for extension in each of the problems. (YP)

Presents the underlying ideas of the Software Cost Reduction (SCR) approach to requirements specifications. Results of applying this approach to the teaching of programing to high school students indicate that students perform better in writing programs. An appendix provides two examples of how the method is applied to problem solving. (MDH)

Proposes methods to teach the more difficult concepts of linear algebra. Examines features of the Linear Algebra Curriculum Study Group Core Syllabus, and presents problems from the core syllabus that utilize the mathematical process skills of making conjectures, proving the results, and communicating the results to colleagues. Presents five…

This workbook offers advice and exercises for anyone planning a job search in the field of education. By completing the exercises prior to planning a job search, it is possible to learn to examine oneself for strengths, weaknesses, past experiences, and goals; investigate school districts to see how they compare with one's own attributes and…

This publication provides background information, ideas, and sample activities to help teachers in their efforts to aid students in developing problem solving skills. It provides an overview of the stages in the problem solving model recommended in the elementary mathematics program of studies. Several clusters of problem solving strategies are…

Designed to serve as a supplement for high school level mathematics, this publication contains activities which aim to enhance mathematical knowledge and skills and to assist students in understanding aerospace technology and its achievements. This volume updates an earlier supplement that was published in 1972. Problems are grouped into chapters…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course that requires some previous knowledge of algebra and the ability to work at a rapid pace. Topics include the basic operations with signed integers; fractions; decimals; literal expressions; algebraic fractions; radicals;…