Points out the benefits of students using LOGO with problems dealing with vectors and matrices. Provides examples of performing linear algebraic computations in LOGO. (ML)

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)

Students from six fourth-grade classes were paired and randomly assigned to computer or worksheet treatments on multiplication and division. Those using computer-based drill-and-practice programs made greater gains on some tests of basic facts, but had no higher retention of algorithms. (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)

This study was designed to determine the effectiveness of two microcomputer instructional games in teaching probability and measurement estimation to 78 preservice elementary school teachers. The probability game did not seem effective, and the estimation game was only marginally effective. Patterns of change are discussed. (MNS)

Some examples are given of geometric exploration and problem solving in which Logo is the primary tool and turtle graphics is the mathematical environment. Students can explore and develop important patterns while building visual intuition. (MNS)

Ten crucial mathematical concepts with which errors are made are listed, with methods used to teach them to high school students. The concepts concern order, place values, inverse operations, multiplication and division, remainders, identity elements, fractions, conversions, decimal points, and percentages. (MNS)

To find the students who need help, college officials are starting new testing programs, sharing more information with high-school teachers and administrators, and joining with high schools to sponsor special programs for students and teachers. Programs in Ohio, New Jersey, and Florida are described. (MLW)

Provides a listing of recently published books on problem solving and life skills. Reviews articles and ideas related to the teaching of problem solving. Discusses the instructional implications of research in cognitive psychology. (ML)

A few examples are provided of the history of games and recreations. Six games and some recreations are discussed. (MNS)

Illustrated first is the case in which a wrong procedure (with fractions) leads to a correct result. Trying to justify why it works in this case and looking for similar patterns involved interesting algebraic considerations as well as use of computers. (MNS)

A series of common misconceptions with regard to infinite sets is considered. Several notions of infinite numbers proposed by different mathematicians are compared. It is argued that so-called errors should rather be called alternative conceptions. (MNS)

A previous article examined the amount of fuel that could constantly burn each second and achieve a safe landing. This article investigates some ways to burn variable amounts of fuel according to some mathematical function (such as an arithmetic progression). Several assumptions (such as a massless fuel) are made. (JN)

This activity consists of two problem situations, each illustrating how a computer can be used as a tool to assist students in solving mathematical problems. In one, numerous calculations are performed by the computer; the second uses a Monte Carlo model to simulate a physical action. (MNS)

A summer program for in-service elementary teachers is described. Five topics were the focus: diagnosis and analysis of achievement, designing instructional sequences, concrete manipulative materials, puzzles and games, and problem solving. (MNS)