Vision in elementary mathematics

the long version

As the title suggests, this technique employs visual elements in its exploration of the most graphic and least "forbidding" aspects of mathematics. The author observes that most people possess a direct vision that permits them to "see" only the smaller numbers. In addressing this difficulty, both for those who like recreational mathematics and for those who teach, he suggests a variety of methods: techniques of visualizing, dramatizing, and analyzing numbers that attract and retain the attention and understanding. Topics range from basic multiplication and division to algebra, encompassing word problems, graphs, negative numbers, fractions, and many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.