Suggests a model for teaching mathematics with three dimensions: facts and skills, understanding, and problem solving. Geometric examples are used to illustrate each dimension and suggestions for integrating the teaching of the three dimensions are given. (PK)

Describes a method that will easily generate any number of triangles of equal area and perimeter, and also geometrically characterize such triangles. (PK)

With the help of funding from the Amoco Foundation, the University of Chicago has developed the Chicago School Mathematics Program, aimed at motivating seventh- to tenth-grade middle-ability students in mathematics. Outlines the curriculum development process and describes the motivation for the major features of the curriculum. Includes three…

Dr. Charles Pine responds to questions concerning the definition of good teaching; his personal instructional approaches; New Jersey's basic skills testing program for college freshmen; ways to improve math instruction; and the New Jersey Algebra Project, a three-year curriculum revision effort for seventh, eighth, and ninth grades. (DMM)

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)

Comparisons are given for data from the Second International Study for both eighth- and eleventh-grade students in the United States and Japan. U.S. students were closer to Japanese students at the eighth-grade level than at the twelfth-grade level; differences have increased since the First International Study. (MNS)

Discusses: (1) advantages of a computer lab; (2) types of computer programs that can help students develop computational, application, comprehension, and analytical skills; (3) how computers can help students with such affective goals as appreciation and motivation toward mathematics; and (4) content areas where computers can be useful. (JN)

Describes a full-year course called Applied Mathematics. The course covers topics in two general categories, namely, personal money management and job-related mathematics. General instructional strategies used and a sample student project (on budgets) are included. (JN)

Each teacher has developed a set of beliefs about how to teach mathematics. The sources of these beliefs are discussed, in sections on the nature of teaching, the role of the mathematics teacher, teacher decision making, teacher decision making and knowledge of mathematics, and the teacher as an elementary mathematician. (MNS)

Instruction in flexible groups at the Center School accommodates variability in student achievement and aptitude, increases time targeted to specific needs, addresses fairly large groups, reduces the problems of individualized instructional systems, and offers curricular units sequenced according to a hierarchy of skills and concepts, with…

Addresses from two perspectives the problem of providing opportunities for all students to gain knowledge and skills required to use microcomputers: appropriate microcomputer use in the classroom and curriculum, and its role as an indicator of the nature of public education, a catalyst for educational reform, and an equalizer. (MBR)

Gifted students attending a week's summer mathematics program completed problems involving elementary number theory ideas and extensions. The sequence of these problems and strategies used are presented to help teachers looking for topics to enrich the mathematical experiences of students in middle grades or older. (JN)

This discussion of achievement tests examines the relationship between curriculum and nationally standardized test scores. The mathematics curriculum and achievement scores of second through eighth grade children in a suburban community are presented as an example of the discrepancy in emphasis that may exist between curriculum and achievement…

Today, mathematics education faces two major challenges: raising the floor by expanding achievement for all, and lifting the ceiling of achievement to better prepare future leaders in mathematics, as well as in science, engineering, and technology. Many students lack access to higher-level mathematics courses and teaching at all levels of…