This arithmetic textbook aims to train children to meet the ordinary demands of life. This book fulfills the need identified by school superintendents that the social and economic applications of arithmetic be taught in the upper grades so that grammar school children will have an insight into the typical business practices of modern life.

This arithmetic textbook is part of a series that aims to train children to meet the ordinary demands of life. This volume provides drills and reviews of the essentials covered in the preceding books, and it adds many special short methods of calculation that increase efficiency. The chief aim is to extend the child's power to make practical…

The author explains how "structured material such as the Colour-Factor Set can show all the properties, patterns and characters of numbers. Given the mastery over numbers with which these materials provide children, he condemns teachers who require children "to learn multiplication tables by rote and the so-called four rules by…

Student attitudes towards learning arithmetic and student preferences for working independently were not changed by organized lessons based on the manipulation of physical models using a wide range of student participation. (AN)

How to explain the compound interest formula. (MM)

Reported is a study of the interaction between figural and semantic abilities (as defined in Guilford's Structure of the Intellect") and success in a programmed unit in modular arithmetic. The subjects were prospective elementary teachers. Significant interactions were found between both figural and semantic factors and methods of instruction.…

Some suggestions for the use of commutative arrow diagrams in secondary school mathematics. (MM)

Operations with zero and concepts associated with the use of zero are examined in some detail. Historical practices concerning zero are discussed. (CT)