Two algorithms are developed for finding the square roots of numbers. One is based on the rule that x square is the sum of the first x odd numbers; the other is algebraic. (MP)

The teaching of non-numerical flow charting to all pupils is advocated as a means of preparing students for decision making. Several sample problems are provided. (SD)

An approach to teaching children aged 12 through 14 a substantial course about computers is described. Topics covered include simple algorithms, information and communication, man-machine communication, the concept of a system, the definition of a system, and the use of files. (SD)

Ideas on the long-term effects of using microcomputers in mathematics are presented. The changing perception of mathematics, the role of algorithms, the use of short computer programs, the effects on mathematical understanding, implications for teaching methods, logistic problems, examinations and assessment, and planning for the future are…

An attempt is made to show that algebra is rarely obvious, and merely expecting children to learn rules is an oversimplification. Sections cover: (1) The Non-visual Nature of Algebra; (2) The Apparently Arbitrary Nature of Algebra; (3) The Relationship Between Symbolism, System and Question; (4) The Complex Nature of Algebra; and (5) Some…

Described is a way to use knots to relate a three-dimensional object to a two-dimensional representation of the object. The results are used to produce an algorithm or rule to explain a general case. Included are examples, diagrams, procedures, and explanations. (KR)

The author advocates a return to "traditional" elementary algebra content. Several roles for algebra manipulation are identified, including making arithmetic more interesting and understandable and providing facility indispensable for both the technician and the mathematician. (PK)