A technique for doing long division without the usual estimation difficulty is presented. It uses multiples of 2 combined with a recording technique. (MNS)

Early calculating methods and devices are discussed. These include finger products, the abacus, ancient multiplication algorithms, Napier's bones, and monograms. (MP)

Discusses an algorithm that converts a fraction in simplest form into a terminating decimal and allows students to explore the efficacy and conceptual bases of a mathematical algorithm. (ASK)

Presents a method for solving linear equations involving the use of inverses instead of memorizing rules. (MKR)

A current method of teaching long division using repeated subtraction is analyzed as being an example of a sound mathematical method that falls into disrepute when it results in unnecessary, length calculations. (MP)

The problem of rounded numbers used in computations on digital computers is discussed and examples showing the effect of round-off errors are given. (DT)

The long division algorithm approached as repeated subtractions is explained. (DT)

Possible ways of mechanization for counting using a binary system are discussed. Shows a binary representation of the numbers and geometric models having eight triples of lamps. Provides three problem sets. (YP)

Adapts Stanic and McKillip's ideas for the use of developmental algorithms to propose that the present emphasis on symbolic manipulation should be tempered with an emphasis on the conceptual understanding of the mathematics underlying the algorithm. Uses examples from the areas of numeric computation, algebraic manipulation, and equation solving…

The use of flow charts in the teaching of college mathematics enhances students' understanding of mathematical processes. Used appropriately in elementary and secondary schools they could also nurture understanding of algorithms. (SD)

The author argues that secondary-school teachers need to be more aware of the content of primary level mathematics work. Citing an algorithm, he discusses the issue of basic skills in relation to the increasing use of calculators. (SD)