Teaching ideas are presented on the following topics: the number line, earthquakes and Venn diagrams, homework, and flow proofs in geometry. (MP)

Having students find and cut out of graph paper the 12 pentominoes can provide an enjoyable exercise in perception, discovery, and double checking. The pentominoes can then be used to illustrate informally several geometric concepts. (SD)

A number of paper-folding activities are described. The activities illustrate geometric concepts, theorems, and construction techniques. (SD)

The exploration, discovery, and generation of attractive two-dimensional designs as an approach to informal geometry and spatial learning is discussed. Six activities with brief instructions are presented. (CW)

Discusses classroom activities that involve applications of fractal geometry. Includes an activity sheet that explores Pascal's triangle, Sierpinsky's gasket, and modular arithmetic in two and three dimensions. (Author/MKR)

Shows various methods of folding and cutting 4-, 5-, 6-, 7-, 9-, and 11-pointed stars. Discusses the geometry underlying each method. (MKR/SW)

Describes a variety of methods for creating star patterns using overlapping rectangles of thin colored paper. (MKR)

Presents 10 creative, informal, intuitive geometry activities that stress higher-order thinking. (MKR)

This article offers a diversity of approaches for the conceptual development of the summation of the interior angles of polygons. Included are activities that suggest various possibilities for a study of angle sums that build upon an awareness of geometric transformations, particularly dissections and combinations. (JJK)

Presented is an activity designed to help middle school students in their understanding of definitions in geometry. Five definitions involving complex quadrilaterals are discussed. Procedures and expectations for the activity are described. (CW)

This book contains activities and projects designed to be congruent with three underlying philosophies: the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards; Howard Gardner's multiple intelligences; and manipulatives, activities, and projects. The introduction contains information about educational reforms; multiple…

This book uses foods as catalysts for learning mathematical concepts. Each hands-on activity in this math center suggests accessible, healthful, and easy-to-prepare foods to be used in school or at home. An introduction to parents and teachers includes supplies list, gobble-up germs poster, and food guide pyramid and serving information. The…

Properties of cones can be studied by considering the circular sector obtained by slitting and unrolling the surface of the cone. (SD)

Activities in which students make and prove conjectures and devise their own geometric axiom systems are discussed. (SD)

The nature of measurement, the standard measurement concepts are discussed in terms of children's preconceptions and activities for building measurement concepts through primary school instruction. A broad range of activities including counting, computation, calibration, and relating measure to size is presented. The metric system is briefly…