In working out exercises in addition the author became convinced of the importance of the ones place of the mind and fashioned a carefully worked technique in order to free the student from having to think about technique. (Author/RK)

In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame…

The second in a series of three workbook texts on beginning algebra. Designed primarily for use by lower ability mathematics students, the texts have been used by average ability students as supplementary materials. Volume 2 contains material on operations, variables and phrases, equations, exponents equivalent phrases, terms, and adding like…

Directions are given for preparing a puzzle that may be used to provide practice in computation. (MP)

Using the calculator to do addition and multiplication in base 2 is discussed, with the stress on how to change numbers from one base to another using the calculator. (MNS)

This textbook is a course in elementary arithmetic. It stresses mental as well as written exercises. Addition and subtraction are first presented together, and later multiplication and division.

Three experiments evaluated performance on a mental multiplication task and the adequacy of several different models of mental addition as extended to multiplication. Results are discussed in terms of a network-retrieval approach to mental arithmetic, the commonalities between addition and multiplication, and rule- versus retrieval-based…

Proposes a four-category classification of semantic structures of one-step word problems involving multiplication and division: forming the n-th multiple of measures, combinatorial multiplication, composition of operators, and multiplication by formula. This classification is compatible with semantic structures of addition and subtraction word…

Computational algorithms appearing in early American arithmetic text are discussed. (SD)

Allowing students to examine different ways of performing an operation is suggested as a means of increasing their understanding. (MP)

The method described here converts a given problem in a base other than ten to a related problem in base ten, solves the related problem in base ten, and converts the answer back to the original base. Limitations are discussed. (MP)

The column presents activities for grades K-8 focusing on the concept of equality. A geometric-puzzle motif is used, with basic number facts reviewed for the lower grades and equivalent fractions for the upper levels. Four worksheets and a problem poster are included. (DT)

Mathematical worksheets are presented for use in the elementary school classroom. The sheets deal with arithmetic and number patterns, one being for the primary grades, the other for grades 4 to 8. (RS)

This article focuses on the aspect of mental arithmetic that uses thinking strategies that are effective with large numbers as well as basic facts. Two activities are suggested for lack of the four operations. (MK)