Teaching methods which emphasize understanding and insight can be effectively supported and expanded by using A Programming Language (APL) as a notation for both writing the algorithms of a discipline and then exploring the behavior of these algorithms by computer. (Author/LS)

Suggests that issues surrounding the teaching of algorithms focus not on whether to teach them but rather on balancing and connecting the development of algorithmic thinking. Presents an approach to help students develop their algorithmic thinking. Contains 18 references. (ASK)

Debates the place of standard methods, the calculator, and mental mathematics in elementary education. Proposes a framework for computation that emphasizes a sequence for introducing computational procedures. (ASK)

Binary algorithmic logic may prove useful for teaching grammar, especially in the case of 'closed-system items.' (Text is in French.) Available from Instituut voor Toegepaste Linguistiek, Vesaliusstraat 2, B. 3000 Leuven, Belgium. (TL)

This paper discusses computer simulation as a tool for teaching about phenomena characterized by a problem to be solved, a task or goal to be reached, a procedure to be learned, or an environment to be understood. Simulation is defined and characterized by an examination of both the attributes that are common to simulations, and a taxonomy…

An alternate method for factoring quadratic equations is presented as being quicker and easier to use than the trial-and-error method. (MP)

A concrete approach to subtraction problems with minuends to 19 is presented. (MP)

An algorithm for long division is presented that involves only addition and subtraction. (MP)

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

The purpose of this conference sponsored by the French Commission of the Methods of Teaching was to give deep reflection as to the place of algorithms in the teaching curriculum and learning of mathematics. Devoted to the concept of new teaching methods at levels 1-4 of compulsory school education, the debates of this seminar were an occasion for…

Describes a calculator exercise that can help students develop a better visual and numeric feel for Newton's method. (KHR)

Indicates that there has been a lot of work done and that a great deal needs to be done in the future to explore the world of children's early number. Discusses the counting, the use of algorithm, practical mathematics, the use of manipulatives, individual differences and pedagogical concerns, and classroom applications. Contains 18 references.…

Illustrates how upper elementary grade students can develop an understanding of the invert-and-multiply algorithm. (CCM)