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)

Programing a microcomputer to solve problems in whole-number arithmetic, rather than using the built-in operations of the computer, is described. Not only useful, it also enhances important mathematical concepts and is adaptable to a range of student abilities. (MNS)

Research on the usefulness of calculators in mathematics instruction is cited, and some activities using calculators to develop skills with reading numbers, counting, basic facts, multiplication and division, problem solving, estimation, percentages, decimals, patterns, probability, and games are described. (MNS)

Findings from a study with first-grade children on addition and subtraction help make a case for a conceptual rather than a mechanized approach to the operations. How base ten blocks were used in the program is illustrated. (MNS)

Activities are suggested for using the hand calculator as a complement to any mathematics program. The activities focus on developing skills for using the calculator, exploring basic arithmetic operations, understanding algorithms, mental calculation and estimation, and problem solving. (DT)

The first volume of this report examines the existing measures of high school completion and the newly proposed proxy measures. This includes a description of the computational formulas, the data required for each indicator, the assumptions underlying each formula, the strengths and weaknesses of each indicator relative to a true cohort on-time…