Reports on the findings of the Algorithms working group at the Ware, England, conference. Examines methods of introducing the algorithmic approach to mathematics via computer programing and using problems arising from content areas. Considers programing language and presents support for programming in mathematics curricula. (JM)

Develops a general computer algorithm to obtain a magic square having a number of rows that is a multiple of four. Presents a BASIC program and sample runs. (YP)

Describes investigations involving data acquisition and analysis using microcomputers running the LOGO programing language. Provides new primitives to add to LOGO to access information from the analog to digital converter of a BBC microcomputer, giving samples of student results. (JM)

Provides a BASIC program to compute the number of shuffles required for packs containing even numbers of cards up to 100. Lists 4 further questions on the shuffling program. (YP)

Shows a series of Euclidean equations using the Euclidean algorithm to get the greatest common divisor of two integers. Describes the use of the equations to generate a series of circles. Discusses computer generation of Euclidean circles and provides a BASIC program. (YP)

Describes ways of finding the answer to a problem for the possible sum of the three-digit numbers without using the same number repeatedly. Describes the classroom applications of the problem. Provides a computer program to obtain the solutions of the problem. (YP)

Incorporating writing into mathematics classes is promoted, with numerous suggestions on using writing to help students recall procedures, develop story problems, and plan computer programs, among other things. (MNS)

This special section on cognition and mathematics contains an introduction and 13 articles on advances in the psychology of mathematics learning. The articles focus on how students learn to solve mathematics problems, including arithmetic computation problems, arithmetic word problems, and computer programing problems. (SLD)

Discusses a student project visualizing the surface of a function using computer graphics. Describes topics to complete the project, function and its domain, scaling, coordinate axes, projection of the surface, sketching the graph, plotting, changing the viewpoint, and rotating the axes. Provides a BASIC program using the rotation of the axes and…

Presents an easy method for constructing magic squares from three-by-three to general squares. Provides a computer program generating odd-order magic squares. Six references are listed. (YP)

Investigated the effect of the choice of a model's medium (algebraic expression or computer program) on the performance of students. Student programers did not transfer the qualities of a computer program approach to their algebraic models. Provides items for five tests. (YP)

Provides two examples of the "regular falsi" method using geometry and a computer program. (YP)

Selects five critical elements for success in problem solving in mathematics and in computer programing: general strategy; planning; logical thinking; variables; and debugging. Describes the role of the five elements based on a literature review. Forty-one references are listed. (YP)

Discusses the use of the mathematics classroom for discovering the relationship among computers, mathematics, and real-world problems. Provides three probability problems and compares the results of three methods, actual trial, computer simulation, and mathematical solution. (YP)

Presented is a way to provide students with a review and an appreciation of the versatility of pointers in data structures by improvising with binary trees. Examples are described using the Pascal programing language. (KR)