Research on error patterns associated with whole number computation is reviewed. Details of the results of some of the individual studies cited are given in the appendices. In Appendix A, 33 addition errors, 27 subtraction errors, 41 multiplication errors, and 41 division errors are identified, and the frequency of these errors made by 352…

Two questions were investigated in this study: (1) How did the computational proficiency of sixth graders who had one year's experience with Developing Mathematical Processes (DMP) materials compare with an equivalent group of students who used the usual textbook program; and (2) What occurs when sixth graders study algorithms as sequences of rule…

The construction of tables of numbers is discussed as a learning activity that involves work in such things as reciprocals, calculators, formulas, patterns, discovery, prime numbers, and other types of numbers. (MP)

A problem from number theory is used to illustrate the use of the computer and programable calculators in solving problems. Programs are included. (MP)

The author describes the structure, content, and standardization of the Stanford Mental Arithmetic Test (SMAT), which was developed at Stanford University from 1973 to 1975. (MN)

Instructional techniques are given for the use of calculators in (1) finding prime numbers, (2) solving trigonometric equations, and (3) solving polynomial equations. (CP)

Two games are described. "Operation: Four" is a game which provides students with practice in basic computation. "Geometry" is a game which enables students to participate in a competitive match of definitions. (JT)

A variety of calculator activities is described for developing problem solving skills without getting involved in tedious computations. (JT)

Details ab initio crystal orbital calculations using all-trans-polyethylene as a model. Describes calculations based on various forms of translational symmetry. Compares these calculations with ab initio molecular orbital calculations discussed in a preceding article. Discusses three major approximations made in the crystal case. (CW)

In this article, the third part of a series, the results of ab initio polymer calculations presented in part 2 are discussed. The electronic structure of polymers, symmetry properties of band structure, and generalizations are presented. (CW)

The article includes a discussion of counting and counting strategies. In addition, there are eight problem sets appropriate for use with groups of different age and ability levels. Suggestions are given for finding variations of the problems. (PK)

A training experiment with 30 mentally handicapped children tested two models of mental-arithmetic development. Children's initial responses to a mental-addition task appeared to be the product of a mechanical prescription. Errors appeared to be more errors of method than of recall. (MNS)

Presented is a rationale for the importance of estimation. Strategies used by good estimators, and teaching strategies for computational estimation are considered. (PK)

Argues that calculator activities, even in the early grades, can present situations in which basic mathematical thinking processes come into play. The activity described involves developing efficient calculator guess-and-test strategies and requires only an introductory notion of the four basic operations of arithmetic. (PK)

Describes an algorithm that provides more rapid convergence for more complicated forms of phase separation requiring the use of a digital computer. Demonstrates that this "inside-out" algorithm remains efficient for determination of the equilibrium states for any type of phase transition for a binary system. (CW)