Number bases other than ten can be introduced effectively by presenting fictional civilizations which use them. (SD)

The system of International Standard Book Numbers uses a check code based on modular arithmetic. This system, the use of a simple machine to compute check digits, and related classroom activities are described. (SD)

Activity questions based on the prime factorization of numbers can be answered by reference to the lattice structure of factors. (SD)

Instruction on properties of whole numbers, the meanings of operations on whole numbers, symbolic representation and algorithms for completing these operations is discussed. Many activities appropriate to each of these topics, and suitable for primary school children, are presented. (SD)

A series of activities designed to help primary school children understand the meaning of the term "fraction," the symbolization, and equivalence of fractions are presented. Identification of units and pictorial representation are stressed, as is the uses of concrete materials. (SD)

The development of number concepts from conservation through order and place value notation is discussed in the context of applications to classroom instruction. Activities designed to motivate, build, and reinforce these concepts are described, and a list of objectives is presented in the form of a suggested progress record. (SD)

This pamphlet consists of 17 brief chapters, each containing a discussion of a numeration system and a set of problems on the use of that system. The numeration systems used include Egyptian fractions, ordinary continued fractions and variants of that method, and systems using positive and negative bases. The book is informal and addressed to…

Children enjoy playing a game based on addition module seven. The system can be applied to questions concerning the days of a week. (SD)

Six units of instruction, each including a variety of activities involving ratios, are presented. (DT)

Addition and subtraction of integers can be approached through the use of chips of two colors. (SD)

Activities involving estimation of the number of objects in a configuration can motivate students to consider parametric models. (SD)

This pamphlet recommends that elementary-school teachers be provided with inservice courses which deal with probability concepts. The recommendations are based on the experiences of 120 teachers who taught probability in elementary school as part of a project of the National Science Foundation. The authors observe that probability is important…

Using a great variety of word problems drawn from many contexts can make multiplication and division rules more relevant to the student's needs. (SD)

A problem solving approach to the teaching of the Pythagorean Theorem is described. (SD)

A learning activity relating modular arithmetic to patterns of figures determined by points equally spaced around a circle is described. (SD)