Whistler Alley Mathematics
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Paul Kunkel  
Kunkel's Geometer's Sketchpad lessons convey a conceptual understanding, usually without rigorous proof, with questions and suggestions for extensions: Buffon's Needle (an old probability exercise); Chinese Handcuffs (questions with applications for geometry, trigonometry, and probability); Hanging with Galileo (an investigation into the catenary); Reuleaux Triangle (a figure that is not a circle, but has constant width); Rungs and Vineyards (visual effects seen from a moving automobile); Sketchpad Ellipses (investigating ellipses by tracing triangle transformations); Tangent Circles (how many circles can be constructed tangent to all three given circles?); and a Geometry Construction Reference, with descriptions and illustrations of 13 elementary straightedge and compass constructions. Lessons not requiring Sketchpad include: Dodecahedron Measures (dihedral angle and volume); Planimeter (a drafting instrument used to measure area); Table Patterns (modular multiplication); and Volume of a Torus (virtual reality drawing). Also an annotated Sketchpad gallery of sketches without commentary for Physics, Calculus, and others. Formerly Kunkel's Mathematics Lessons.  


Levels:  High School (912) 
Languages:  English 
Resource Types:  Lesson Plans and Activities, Articles, Documents/Sketches/Galleries, Geometer's Sketchpad 
Math Topics:  Measurement, Pi, Polyhedra, Conic Sections and Circles, Triangles and Other Polygons, Trigonometry, Probability, Topology 
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