Explains methods by which a student can check the correctness of his work and so increase his self-confidence. (MM)

A humorous approach to "mathematical applications" focuses on the activities of the housewife in doing domestic chores. Six "lessons" touch on the following topics: algebra, direct and indirect proportions, arithmetic progressions, trigonometry, and non-Euclidean geometry. (MP)

When high school mathematics grades and test scores were analyzed, findings showed that high- and middle-ability students who had a modern mathematics course in the seventh grade received significantly higher grades in Algebra I, II, III, and Geometry than did students who had a traditional seventh grade mathematics course. (DT)

Describes methods for explaining advances in mathematics teaching to parents. Explains important points to be made, followed by examples of how the Everyday Mathematics program responds to each issue. Examples of points include Teachers as Facilitators, Subject Integration, Focus on Reasoning and Problem Solving, Emphasis on Communication, Meeting…

Presents a talk on the history of mathematics and mathematics education by comparing the new math era and the current era. Discusses the beliefs of anti-reformers and concerns at the college level. (ASK)

A new algorithm for computing roots of any order is presented, along with the historical roots of its development.

We analyze probability content within middle grades (6, 7, and 8) mathematics textbooks from a historical perspective. Two series, one popular and the other alternative, from four recent eras of mathematics education (New Math, Back to Basics, Problem Solving, and Standards) were analyzed using the Mathematical Tasks Framework (Stein, Smith,…

This paper, the author's introductory remarks at a British conference concerning Modern Mathematics and the Teaching of Science, describes the contrasting objectives of students, mathematicians, and scientists with respect to the mathematics curriculum. (SD)

This paper, prepared for a British conference on Modern Mathematics and the Teaching of Science, explores the problem of the relationships between mathematics and science curricula. Four hypotheses concerning the cause of "worsening" of the problem are posed. (SD)

This paper provides a general overview of the forces that contributed to the rise and fall of the "new math" movement. It is noted that the movement developed as a response to certain problems in mathematics education; these problems remain to be solved. Some small-scale successes were achieved, from which we can learn. The answer to…