In this article, John West explores student misconceptions relating to division. A range of activities that promote the understanding of divisibility rules are provided.

Describes a study which compares the abilities of 130 first graders in responding correctly to open (Computational) addition exercises to their abilities in responding to equivalent problems stated in the closed form. No statistical difference between levels of correct responses to opened or closed exercises was indicated. (PR)

The objective of this study was to determine ways of attaining a working competence in the arithmetic of the full real number system, and to explore means of removing some ineffective practice employed in instruction. A secondary objective was to determine the feasibility of developing infinite decimal arithmetic directly, without building on the…

Reported are suggestions indicated by research studies to eight questions concerning the teaching of rational numbers. (1) Can young children learn fractional concepts? Answer: Manipulative materials are of value to learning in the primary grades. (2) How should the common denominator be determined? Answer: Both factoring and equivalent fractions…

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,…