The examples given in this article served as models for the basic principles of "Peer-Mediated Instruction," the focus of six years of classroom research at Teachers College, Columbia University and one approach to the buddy-system of teaching. (Author/RK)

Presented are the purposes served by mathematical investigation--the exploration of open situations in a relatively unstructured way--and an example (investigating numbers adding to 13), with numerous questions and conjectures. (MNS)

Describes a finger pattern method for teaching subtraction. It is suggested that the method has several advantages over the usual methods children adopt. (PK)

Defines and supports investigative mathematics for schools. Presents several results of an investigation of Fermat's Last Theorem. (PK)

Brief articles on producing videotapes of the execution of a program on a microcomputer, an illustration of the sums of numbers and squares, and the distance from a point to a line are included. (MNS)

Programs are listed for integer powers and fractional powers, with discussion of how to use them in instruction. (MNS)

Four worksheets are provided for developing decimal concepts. For levels 1-2, dollars and cents is the focus; for levels 4-5, tenths and hundredths; for levels 5-7, comparing and ordering decimals; and for levels 6-8, estimating with decimals. Teaching suggestions are included. (MNS)

Studies five-year-olds' relative number judgements of small and large number displays with and without perceptual aids. Children were found to respond to local rather than global density differences and to benefit from the provision of perceptual aids on both small and large number displays. (Author/AS)

Using manipulative materials and pictures is considered valuable, but the need to use models appropriate for individual children is stressed. Suggestions for using well-structured physical space are given. (MNS)

Provides activities (and program listings) related to a Mendelian genetics experiment, Tetranacci numbers, and Pascal loops. Also suggests using the computer and spreadsheets to plan the production of a school yearbook. (JN)

The importance of teaching computational estimation is discussed, with note of its increased significance because of widespread use of calculators and the need to develop number sense. The reason for its failure to be taught is traced to the multiplicity of methods, and some detailed suggestions are therefore presented. (MNS)

Arithmetic is the major focus of elementary mathematics instruction. This book offers lessons for developing children's numerical understanding and skills. The lessons help children learn to estimate, understand numerical relationships, develop number sense, compute mentally and with paper and pencil, and use arithmetic as a tool to solve…

Magic squares are used both as a vehicle for arithmetic drill and the development of mathematical concepts for second-grade students. By searching for patterns within the squares, additional number concepts are developed along with the concept of symmetry. (JP)

This paper analyzes common practice and the difficulties children encounter and outlines an entre to mathematics learning which may make the child's task easier. (Author)