The results from a cross-national study comparing calculus performance of students at East China Normal University (ECNU) in Shanghai and students at the University of Michigan before and after their first university calculus course are presented. Overall, ECNU significantly outperformed Michigan on both the pre- and post-tests, but the Michigan…

Describes activities that have been successfully implemented by an expert during a mathematical problem-solving course. Focuses on the identification of the qualities of these problems used to promote the development of student strategies and values that reflect mathematical practice in the classroom. Contains 17 references. (ASK)

A course labeled Liberal Arts Mathematics is described. It includes: historical perspective, logic and proof, the structure of number systems, mathematics in art and nature, data analysis with probability and statistics, and computing. A list of references for each topic is included. (MNS)

How the notion of limit can be developed through a meaningful approach is discussed. Selected portions of the high school calculus course are described, and errors on a test are analyzed. (MNS)

Outlines a course on fractal geometry and chaos theory. Discusses how chaos theory and fractal geometry have begun to appear as separate units in the mathematics curriculum and offers an eight unit course by pulling together units related to chaos theory and fractal geometry. Contains 25 references. (ASK)

A description is given of work with geometry students in Weston, Massachusetts. They were aided in thinking like geometers, with a curriculum based on conjecturing and problem posing, using the Geometric Supposer series of computer programs. (MNS)

Three innovative features of the new Caribbean mathematics examinations are discussed: increased information on candidates' performance, breadth of consultation and concern with social needs in the development of the syllabus, and conception and implementation of the syllabus as a curriculum. Appended are examples from the syllabus and…

An experimental program in New York City to improve the rate of success in first-year algebra is described. Students, teachers, techniques used, and Regents Examination results in the double-period class are described. (MNS)

In September 1979, the Mathematical Association in England held a weekend seminar on the scope of Applied Mathematics at A-level, and a subcommittee was established to consider the topic at more length. This paper is the first product of the subcommittee's deliberations. Sections 1 and 2 describe the background to current A-level courses: (1) who…

This manual outlines a calculus course, one of three optional courses designed to meet the needs of students in Manitoba (Canada) secondary schools who demonstrate particular aptitude in mathematics and who desire to study more topics and more advanced topics. Major emphasis is placed on applications and problem solving. The four units in the…

Recommendations that the curriculum needs to be restructured to better meet the mathematical needs of a diverse student population in a society increasingly dominated by technology are addressed in this yearbook. It attempts to chart new curricular directions for high school mathematics in terms of content, organization, and priorities, and also…

A problem-solving component for the junior high school mathematics curriculum is described. A sample worksheet of routine problems is included, and suggestions for working with nonroutine problems are given. (MNS)

The status of probability and statistics in the current Japanese curriculum is discussed. Data from the Second International Mathematics Study are cited, and the course of study is included. (MNS)

How the College Board's Advanced Placement course description and examination were developed is described in some detail. Then the course itself is discussed, with a topic outline included. (MNS)

A course is described which was designed to: (1) teach correct use of the calculator; (2) teach appropriate techniques for solving arithmetic problems using the calculator; and (3) develop number sense in students through teaching of appropriate facts, concepts, and techniques to be carried out mentally without the calculator. (Number sense starts…