Presents several alternatives to customary algorithms for whole number arithmetic. Includes a brief history of each algorithm and discusses why each might be useful for particular kinds of children. (KHR)

Describes a pattern which emerged from an examination of the digits of the squares of numbers. Provides eight examples having the pattern at the units or tens digit of the number. (YP)

Work with recurring decimals provides pupils with an opportunity for exploration and examination of a wide variety of mathematical ideas and strategies. Examples of work done by one group of pupils who were presented with an opportunity to explore such decimals is featured. (MP)

Describes a multicultural enrichment project for 4th graders that highlights number systems and computation algorithms of various cultures. Discusses student responses and reactions. (KHR)

This paper outlines the development of an activity that uses the computer's unique capabilities to provide students with a meaningful and highly motivating experience with the graphing of equations. The basic design of the game calls for the computer to display a coordinate grid on which it graphs any equations that are typed in by the student.…

Defines one approach to problem solving in terms of student use of algorithms to find their solutions and gives examples. Discusses how problems and algorithms relate to each other. Describes strategies for teaching problem solving using algorithms. (CW)

Describes basic structure of a framegame, Chain Gang, in which self-instructional modules teach a cognitive skill. Procedures are presented for loading new content into the game's basic framework to teach algorithms or heuristics and for game modification to suit different situations. Handouts used in the basic game are appended. (MBR)

Explains a proposed block of instruction that would give students in industrial engineering, operations research, systems engineering, and applied mathematics the basic understanding required to begin more advanced courses in simulation theory or applications. (DDR)

Describes how open-ended writing prompts provide a window into student understanding and mathematical thinking. (YDS)

The author suggests that, through using the outlined question model and suggested classroom activities, elementary students will improve their abilities to analyze routine, one-step word problems and make a plan for the solution. It is further argued that the same algorithm can be applied to multistep problems by using specified questions. (PK)

The concept of variable is central to mathematics teaching and learning in junior and senior high schools. Described is a structured reflexive exercise designed to reexamine the notion of variable and to rediscover its richness and multiplicity of meaning. (PK)

Presents an algorithm for solving problems related to multiple allelic frequencies in populations at equilibrium. Considers sample problems and provides their solution using this tabular algorithm. (CW)

Suggests a method for solving verbal problems in chemistry using a linguistic algorithm that is partly adapted from two artificial intelligence languages. Provides examples of problems solved using the mental concepts of translation, rotation, mirror image symmetry, superpositioning, disjoininng, and conjoining. (TW)

Describes use of the little-known Shuttle Puzzle in computer programming to elucidate the process of analyzing a problem and synthesizing observations into an algorithm that can be used to generate a programming solution. The process used to solve the problem reflects one that an expert uses. The method could be adapted for small-group cooperative…