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

This yearbook is organized into three main sections: arithmetic, junior high school mathematics, and high school mathematics. Chapter 1 identifies and discusses specific questions in arithmetic instruction and learning. The kinds of research needed and suggestions about students needing remedial work are also discussed. Chapter 2 deals with…

A description of De Morgan's life and work is followed with quotations of his thoughts and insights on the teaching and learning of mathematics. The purpose is to illustrate the sharpness of his ideas, his creative insights, and his wit for the enjoyment of the reader. (DC)

In the first chapter Brownell critically examines the psychological bases of the three most common theories of arithmetic instruction: drill, incidental learning, and meaning. In chapter 2 the results of a nation-wide survey of actual teaching practices are reported. Chapter 3 presents a contrast between "informational arithmetic" and…