Describes the maximum-volume-box problem designed to lead students to a deeper understanding of the problem and its solution. Uses the Geometer's Sketchpad as a learning tool. Illustrates some examples of constructing and using the sketch. (KHR)

Provides activities that deal with Fibonacci-like sequences and guide students' thinking as they explore mathematical induction. Investigation leads to a discovery of an interesting relation that involves all Fibonacci-like sequences. (DDR)

Describes an activity that utilizes four pattern blocks to help students understand and explain perimeter. Engages students in making and supporting conjectures about a scenario that involves trains composed of various shapes with different perimeters. (DDR)

Presents weekly activities that focus on various forms of transportation in the world. Students investigate transportation through data collection, geometry, and measurement. (KHR)

Offers a cave-mapping problem and discusses how to solve it. Presents the problem and necessary geologic background and a spreadsheet algorithm to solve the problem. (KHR)

Proposes a word problem concerning placing students around triangular tables. Students must determine how to place the touching tables so that everyone can be seated. (KHR)

Illustrates the use of representation of equality, perimeter and area, measurement, and data in the mathematics classroom. (KHR)

Describes an activity, The Spaghetti Problem, that shows how statistics could be used to introduce many topics in the secondary mathematics curriculum. (KHR)

Examined are the roles of several historical figures in the development of the field of geometry. Discussed are Thales, Pythagoras, Plato, Euclid, and Apollonius. (CW)

Developed is a condition, expressed in terms of an index, that ensures that a quasinormal subgroup is normal. The arguments suggest a variety of exercises for a course in group theory or Galois theory. Included are the definitions, lemmas, and proofs. (KR)

Provided are 20 ideas for learning activities in mathematics suitable for individual independent use by gifted elementary and middle school students. Typical ideas include making models of various triangles, scale drawings, exploring prime numbers, and drawing graphs. (DB)

Presented are several applications of geometric concepts and measurement skills that are used daily by surveyors, real estate attorneys, and paralegal assistants. Described are the objectives and directions for this lesson. Activity sheets for students are included. (CW)

Several activities involving area and volume using empty paper rolls are presented. The relationships of parallelograms to cylinders are illustrated. Teaching suggestions are provided. (CW)

Discusses the use of flexible straws for teaching properties of figures and families of shapes. Describes a way to make various two- or three-dimensional geometric shapes. Lists eight advantages of the method. (YP)

The focus of this article is on the verification processes children use when assessing the equality of parts produced by them when partitioning geometric shapes. Different processes and children's verbal proofs of equality are presented. Activities for mathematics instruction are suggested. (YP)