A Geometrical Representation of Primitive Pythagorean Triples

Abstract

The geoboard has long been a useful tool for mathematics students of all ages to explore geometric patterns and relationships. Among the many interesting activities that can be done on geoboards is exploring properties of polygons, such as the relationship between a polygon's number of sides and the sum of its interior angles. Such software programs as The Geometer's Sketchpad (Jackiw 1990) can also be helpful in exploring these and even more sophisticated geometric relationships. These tools can be helpful not only in discovering known relationships but also in making new conjectures on the basis of observations and experimentations (NCTM 1991).

Effect of Geometer’s Sketchpad on Senior High School Students’ Performance in Quadratic Graphing

“…Extensive research has been undertaken to study the effects of the use of Geometer's Sketchpad on geometry curriculum, pedagogy, and learning. It has been shown to assist student understanding of geometric relationships [39], [40], in making mathematical generalizations, and benefits students with special needs [41]. [42], has highlighted the speed and ease with which students can manipulate figures using Geometer's Sketchpad and how slow and tedious and perhaps not even feasible these same tasks are done with pencil and paper [42].…”