Nonstandard Analysis gives an alternative approach to teaching elementary calculus. This paper hopes to communicate to the reader the ideas of this recent development in mathematics and its implications in teaching undergraduate students. The development of the approach is first briefly traced. Then a method of constructing on ordered field…

THE APPENDIXES FOR THE TALENTED YOUTH PROJECT (TYP) MATHEMATICS STUDY INCLUDE THE MEASURING INSTRUMENTS AND TABLES COMPILED DURING THE INVESTIGATION. THE PROJECT COMPARED THE EFFECTIVENESS OF VARIOUS CURRICULUM PATTERNS AND PRACTICES IN MATHEMATICS EDUCATION CURRENTLY USED WITH ACADEMICALLY TALENTED JUNIOR HIGH STUDENTS. THE FOUR APPENDIXES ARE…

The purpose of this project was to develop and test a series of programed mathematics textbooks for students who plan to enter clerical, retailing, construction, electronics, food service, child care, or agricultural occupations. Behavioral objectives were derived from an earlier analysis of tasks in these occupational clusters. From these, three…

GRADES OR AGES: Secondary school. SUBJECT MATTER: Consumer mathematics including--money management, transportation, probability, swindles and gyps, insurance, housing, taxes, consumer credit, banks, savings, and investments. ORGANIZATION AND PHYSICAL APPEARANCE: The guide is divided into ten parallel units, one for each of the above areas, which…

GRADES OR AGES: K-12. SUBJECT MATTER: Mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: The guide is divided into numerous straight-text chapters interspersed with diagrams and charts. It is xeroxed and spiral-bound with a paper cover. OBJECTIVES AND ACTIVITIES: General objectives for mathematics are outlined in an introductory section. More…

Before offering some thoughts on the direction mathematics education might take in years to come, the events of the past 20 years are reviewed. (Author/MLF)

Presented is an activity for teaching linear algebra to grade 7 or grade 8 students. The activity is taken from the "Victorian Secondary Reality in Maths Education" (RIME) Pack. The activity called "Backtracking" builds on intuitions and understandings that students already possess. (RH)

Provided are suggestions for teaching mathematics with a multicultural emphasis. (RH)

This essay begins with a brief history of calculator development and presents some lessons learned about using calculators in work dating back to the 1970s. A position statement on the appropriate use of calculator technology is presented along with a discussion of some of the controversial issues that have arisen as a consequence of the use of…

This essay presents four reactions to the National Council of Teachers of Mathematics (NCTM) "Principles and Standards for School Mathematics" (PSSM). The four respondents include three university mathematics professors and one teacher. The first author describes the publication as refreshingly free of mathematics education jargon,…

This report describes a research project that investigated how to design instruction to help children take the step to generalizing and formalizing their knowledge into powerful abstract systems for representing and operating mathematical ideas. The studies build on existing research on cognitively guided instruction (CGI). The goal of this paper…

The purpose of this publication is to provide a forum through which National Council of Teachers of Mathematics (NCTM) members can be well informed about compelling, complex, timely issues that transcend grade levels in mathematics education. This issue focuses on mathematics curriculum issues and standards. In the United States and Canada, each…

A classroom international bazaar gets children converting currencies and reinforcing math. (Editor)