Describes a classroom activity designed to give students hands-on experience using technology and geometric visualization, as well as to explore fractal geometry in a cooperative classroom environment. Natural phenomena is the context of these activities. Enriches understanding of Euclidean geometry and infinite sequences. Lists materials,…

Describes a mathematics course that involves the study of growth patterns combined with an analysis of the symmetry of patterns. Briefly outline the curriculum and and discusses key features of the course, such as use of hands-on models, video, slides, and speakers from other disciplines. Contains 29 references. (DDR)

Describes an activity connected with mathematical definitions that illustrates the process of gradual refinement as a way to understand and construct knowledge. Presents a gradual construction of a specific geometry concept that was the result of interaction between participants in a mathematical discourse. (KHR)

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)