This article outlines a series of investigations in graph theory which simultaneously gives exercises in visualization. It is argued that one of the advantages of classroom investigations is that students can be lead to an intuitive grasp of advanced mathematics. (PK)

Develops a pair of equations for calculating the elevation and azimuth angles for the various satellites. Uses 3-dimensional vector difference calculations. Provides a practical example, figures, and table. (YP)

Reported is a teacher's efforts to introduce mental methods in arithmetic to seven-year-olds over a four-week period. (PK)

Presents number tricks appropriate for use in workshops, mathematics clubs or at other times when stressing recreational mathematics. (PK)

The paper details teaching methods that have proved successful in teaching money management skills to secondary special education students (e.g., use of real money, organization of money before counting, transitions when counting different bill denominations, instruction in various bill combinations, sequence of introducing coin combinations, and…

Describes a finger pattern method for teaching subtraction. It is suggested that the method has several advantages over the usual methods children adopt. (PK)

The general combinatorial problem of counting the number of regions into which the interior of a circle is divided by a family of lines is considered. A general formula is developed and its use is illustrated in two situations. (PK)

Building mathematical sentences is the focus, with worksheets for practice with basic facts and fractions in a problem-solving setting, using logical reasoning. (MNS)

Studies five-year-olds' relative number judgements of small and large number displays with and without perceptual aids. Children were found to respond to local rather than global density differences and to benefit from the provision of perceptual aids on both small and large number displays. (Author/AS)

Over 600 pupils in grades five, seven, and nine in Italian schools were asked to choose the operation needed to solve 26 multiplication and division word problems. The findings seemed to confirm the impact of the repeated addition model on multiplication and of the partitive model on division. (MNS)

Using a microcomputer "dart" game, this study of 61 primary school students investigated how children of different ages used counting to make numerical estimates. Results showed developmental differences in accuracy of estimation, fluency in counting and sophistication of self-reported strategy use. (BS)

Offers a teaching technique that proposes to enliven instruction of statistics for mathematics students. This activity focuses on questions and associated calculations pertaining to wildlife in captivity. Directives for the lesson as well as a complete listing of questions and answers on captive wildlife are included. (ML)

Discusses the geometry, algebra, and logic involved in the solution of a "Mindbenders" problem in "Discover" magazine and applies it to calculations of satellite orbital velocity. Extends the solution of this probe to other applications of falling objects. (JM)

Example of magic tricks that can be used as an integral part of various lessons in arithmetic and algebra are given. Their mathematical basis is also discussed. (MNS)

The importance of teaching computational estimation is discussed, with note of its increased significance because of widespread use of calculators and the need to develop number sense. The reason for its failure to be taught is traced to the multiplicity of methods, and some detailed suggestions are therefore presented. (MNS)