Establishing and maintaining the desirable kind of balance between meaning and computational competence is the subject of this reprint from a 1956 issue of the journal. Sources of the dilemma and suggestions for solution are discussed. (MNS)

Activities with balance beams were used to motivate students and help them to learn basic mathematical principles. Illustrations are included. (MNS)

A hierarchical-clustering technique was used to examine relationships among computation-related skills by pupils in grades one to four in two Irish schools. A clear hierarchical ordering of skills was obtained at each grade. (MNS)

Studied for three years were eight Swedish classes with pupils aged 10-12 using calculators whenever they could be of use, along with experimental textbooks. The experimental classes were as competent as control classes in mental arithmetic and calculations with simple algorithms, and had better understanding of numbers and problem solving. (MNS)

Investigates preschoolers' knowledge of counting principles by examining their ability to discriminate between features essential for correct counting and features typically present but unessential. Skill in executing the standard counting procedure was found to precede knowledge of the underlying principle. (Author/AS)

Included in this section are brief articles on an algebraic puzzler, periodic decimal fractions with computers, and the arrow method of teaching logarithms. (MNS)

Questions about teaching rational numbers are discussed, dealing with when to teach the meaning of fractions and of decimals, when and how to teach computation with fractions and with decimals, and other issues. (MNS)

Division of fractions and division of decimals, both troublesome, are discussed in relation to helping students learn well and retain what they have learned. A strong conceptual base, mastery of related concepts and skills, and meaningful development are stressed. (MNS)

This section presents materials to reinforce computational skills involving fractions and decimals using an Olympic Games setting. Four worksheets are included for levels 1 through 8. (MNS)

Given is an alternative to individual divisibility rules by generating a general process that can be applied to establish divisibility by any number. The process relies on modular arithmetic and the concept of congruence. (MNS)

Plotting a polynomial over the range of real numbers when its derivative contains complex roots is discussed. The polynomials are graphed by calculating the minimums, maximums, and zeros of the function. (MNS)

Data on sex differences in rote-counting ability for 4722 first-grade children are presented. How different data-gathering methods and different statistical treatments of the data can yield differing results are indicated. (MNS)

Four worksheets are given to enhance the understanding of and facility with numerical concepts and relations for students in grades seven through nine. The focus is on enhancing deductive reasoning abilities with Venn diagrams and arrow diagrams. Teaching ideas are included. (MNS)

Suggestions are given concerning the use of the pocket calculator for computations that are too trivial to be processed by a computer but too time-consuming for manual calculation. Several examples from arithmetic, algebra, trigonometry, and calculus are included. (DT)

The proof of a number trick is given. (DT)