The author argues on theoretical grounds that not all "logical" pre-number activities are equally relevant for numeracy, and concludes with a practical suggestion for the kind of activity which does have particular relevance. (MN)

Indicates that there has been a lot of work done and that a great deal needs to be done in the future to explore the world of children's early number. Discusses the counting, the use of algorithm, practical mathematics, the use of manipulatives, individual differences and pedagogical concerns, and classroom applications. Contains 18 references.…

Sometimes the immediate use of an algebraic approach to solve a problem can obscure what is actually happening. The solution to one problem is described both algebraically and through a numerical approach. (MNS)

A model is offered which can be used for teaching addition, subtraction, multiplication, and division with directed numbers. Illustrations for all operations are given. (MNS)

Some methods for teaching fractions are presented. (DT)

Four reasons for teaching fractions to children are discussed. (DT)

Motivation for practicing basic arithmetic skills is provided by activities based on dart board games. There activities also require participants to devise winning strategies, adding enrichment to the game-type drills. (JP)

Choosing mental, written, or calculator procedures is important for children to learn. Children should be encouraged to be flexible and consider alternatives when doing mental calculation. Developing mental skills, symbols and rules, and numbers in context are each considered. (MNS)

The lesson details an approach to teaching positive and negative numbers which uses number pairs and generates inverses that initially avoid any mention or use of negative signs. The material moves pupils from development of key concepts to the use of more standardized notation for number operations. (MP)

Included are nine brief notes on various aspects of infinity. These are an attempt to stimulate and organize the thinking of teachers and others who acknowledge the role notions of infinity play in mathematics and in children's thinking. (MK)

The importance of place value is discussed. Examples illustrating place value in addition and subtraction are given. (MK)

A method of showing the meaning of decimal fraction without using fraction words or notation. One technique described in detail uses large squares, strips, and small squares; using the metric system and decimal coinage is also suggested. (DT)

Three methods of proof are analyzed as a means of aiding teachers in presenting arguments for certain number concepts. These are: (1) proof by contradiction, (2) Venn diagrams, and (3) method of exhaustion. (MP)