Counting, naming numbers, numerals, computation, and fractions are the topics covered in this pamphlet. Number lore and interesting number properties are noted; the derivation of some arithmetic terms is briefly discussed. (DT)

Addition, multiplication, and exponentiation form the beginning of a natural hierarchy of binary operations on the positive integers. By employing operations above exponentiation in this hierarchy, it is possible to obtain large numbers as an immediate result of combining small familiar numbers. (Author/MP)

This game of strategy for two players is an adaptation of mastermind to a pencil-and-paper game. Rules and examples are given. (MP)

The author shows how changing the restriction context of "Fermat's Last Theorem" alters the statement of impossibility. (MN)

Four experiments were conducted to study explanations of why children make relative number judgments inconsistent with their counting. Results are discussed in relation to judgments children make when they use matching, and in light of Klahr and Wallace's (1973) account of number development. (PCB)

This book's activities probe rational and irrational numbers and investigate properties of integers and complex numbers. They explore numbers and operations embedded in physical objects and show how simple problems can lead to sophisticated considerations. Students examine the usefulness of irrational numbers in designing musical scales and of…

A recreational activity providing practice in computation is described. Examples are provided and the underlying mathematics is analyzed. (DT)

A method of using a modified number line to illustrate concepts of addition, subtraction, multiplication, and division in a modular system is presented. (DT)