A digital bracelet is a cyclic sequence of digits in which each term is the units' digit of the sum of the previous "N" terms. This article discusses some properties of the digital bracelet with N=4 which starts 1, 9, 7, 1. (MM)

Correction is given to problem involving number grids presented in May, 1969, Arithmetic Teacher. (RS)

A rational presentation of the so-called long division method for extracting the square root of a number. Diagrams are used to show relationship of this technique to the binomial theorem. Presentation exposes student to many facets of mathematics in addition to the mechanics of funding square root and cube root. Geometry, algebraic statements,…

Hyperactive children were significantly more affected by both low and high appeal distractors than were the normal children. (Author)

Results indicate that it is possible to increase the measured level of arithmetic skills among adult rural villagers who have low levels of this skill, using a method of nonformal education which involves a relatively short time and reasonable expense. (RC)

Preschoolers' performance on a matching task and a counting task suggested that most four-year-old children and some 3 1/2-year-old children used number words to denote one-to-one correspondence in the tasks. (RH)

Presents and criticizes current theories of multiplication in order to pave the way for an alternative foundation for the concept of multiplication. Formulates a uniform concept of multiplication that recognizes anew the importance of the roles of multiplier and multiplicand. (Contains 22 references.) (ASK)

Children tend to view the equals sign as an operator symbol bereft of the rich relational properties of equality statements. It has been argued by some that this restricted view of the equals sign is due to cultural or cognitive factors. We suggest a significant factor is that rich relational meanings lack relevance within the context of…

Past attempts to model via confirmatory factor analysis (CFA) the Wechsler Adult Intelligence Scale-Revised (WAIS-R) intersubtest covariation have used an oblique factor or a higher order modeling approach. The attempts have failed to yield adequate model fit, based on current CFA recommendations. Using the WAIS-R standardization data, it is…

In 1968, Leon Gerber compared (1 + x)[superscript a] to its kth partial sum as a binomial series. His result is stated and, as an application of this result, a proof of the arithmetic mean-geometric mean inequality is presented.

The game presented in this article provides for students' development of the use of models, benchmarks, and equivalent forms to judge the size of fractions in a motivational and flexible way.

The study addresses the relational reasoning of different-aged children and how addition reasoning is related to problem-solving skills within addition and to reasoning skills outside addition. Ninety-two 5- to 8-year-olds were asked to solve a series of conceptually related and unrelated addition problems, and the speed and accuracy of all…

In this note, we introduce and discuss convolutions of two series. The idea is simple and can be introduced to higher secondary school classes, and has the potential of providing a good background for the well known convolution of function.

Place value is a phenomenon that has ominous implications for developing number sense and meaning and for using alternative algorithms and alternative representations within whole number arithmetic. For the most part, school programs examine place value at a surface level, with a primary focus on having the student identify or state a number value…