This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

Describes experiments that can be carried out by freshmen in general science courses. All experiments are prepared with inexpensive equipment and materials. Quantitative data are analyzed intuitively using graphical representations. (JP)

Research supported by a grant from the National Science Foundation. (DD)

Research supported by a Public Health Service grant from the National Institute of General Medical Sciences. (DD)

Four worksheets are provided which give instructions for constructing a tangram by locating points on the Cartesian plane, which specify shapes to be made with the seven tangram pieces, and which ask students to create additional shapes. (DT)

A Math Rummy card game, a stock market enrichment activity, and a puzzle in logical reasoning, all used with seventh and eighth graders, are described; directions for constructing a clock with suggestions for its use at the first grade level are given. (DT)

A method of two-stage clustering of literature based on citation frequency is applied to 5,065 articles from 57 journals in environmental and civil engineering. Results of related methods of citation analysis (hierarchical graph, clustering of journals, multidimensional scaling) applied to same set of articles are compared. Ten references are…

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)