Geometric constructions are viewed as providing an opportunity both for use of tangible materials and for problem solving, as well as being useful and interesting experiences. A brief history is provided, followed by seven constructions using a hinged mirror. (MNS)

Reports on the findings of the Algorithms working group at the Ware, England, conference. Examines methods of introducing the algorithmic approach to mathematics via computer programing and using problems arising from content areas. Considers programing language and presents support for programming in mathematics curricula. (JM)

Presents a technique for multiplying two-digit numbers whose tens digits are equal and whose units digits have a sum of 10. Then various mental calculations with other types of two-digit and larger numbers are discussed. (MNS)

Included are brief articles on multiplication of negative integers and testing knowledge by asking true-false questions that involve a relatively high level of abstraction. A number of specific examples are included. (MNS)

Information from materials supplied by Indiana mathematics teachers nominated for the Presidential Awards for Excellence in Mathematics Teaching was analyzed. Twenty-six characteristics cited most often are listed. (MNS)

Examines student engagement during a large-group questioning strategy in which 5 out of 29 students were active participants. Offers three suggestions to increase the number of students who become engaged in developing their own answers to the questions. (JN)

Discusses a computer calculus game which follows the path of a parabola in stepwise progression. The educational value of the game is a simple example of nonlinearity, a subject which is just beginning to earn some attention in the mathematical community. The Applesoft program listing is included. (JN)

Intuitive ideas of probability are introduced through real-life situations. Discussion topics and activities are both included. (MNS)

Presented is an interactive Applesoft BASIC program that graphically demonstrates the central limit theorem. It can be used as the basis of a lab to illustrate the main conclusions of the theorem. (MNS)

A way to schedule tournament tennis matches so time-use is improved is presented. The mathematical application of a linear function is described in some detail. (MNS)

Discusses the nature of and the steps involved in a mathematical investigation, suggesting that a mathematical investigation can be used as a tool for developing mathematical processes in learners. Several examples of investigations suitable for secondary levels are included. (JN)

The International Association for the Evaluation of Educational Achievement examined eighth-grade mathematics programs in 21 countries during the 1981-82 school year. This report discusses how programs in the United States compared with those in other countries in instructional characteristics and student achievement. Recommendations are noted.…

Fifteen mathematical puzzles and problems are presented. Areas investigated include pentominoes, arithmetic, fractions, and dissections (dissecting) a shape into two pieces that can be fitted together to form a square. Answers for each puzzle and problems are included. (JN)

The application of probability concepts in tennis is described, with a computer program listing to generate service game probabilities. (MNS)

From the Assessment of Performance Unit (APU) in Britain, illustrative comments of 11- and 15-year-olds concerning mathematics are presented. Sex differences in attitudes and in test performance are also given. (MNS)