Describes a low-tech, hands-on activity to improve student understanding of irrational numbers. Each student creates a number line from adding machine tapes and uses a square and a precisely folded triangle as the only measuring device. (KHR)

Describes young children's thinking about geometric shapes and discusses implications for teaching and learning. (KHR)

Presents interactive parabolas created from straight segments using a dynamic geometry software and its web component. (Author/KHR)

Shows the potential of using interactive geometry software to produce a natural environment for formulating and pursuing questions that arise in the course of solving problems. (KHR)

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)