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Pythagoras Meets Dynamic Software: GSP and Digital Camera

Explore the power of Geometer's Sketchpad (GSP) in pedagogy and beyond. Learn about transforming constructions, creating scripts, and the software's capabilities for mathematical investigations and analytical geometry. Discover how GSP preserves geometric properties when figures are dragged.

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Pythagoras Meets Dynamic Software: GSP and Digital Camera

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  1. Pythagoras Meets Dynamic Software and a Digital Camera Summary Armando M. Martinez-Cruz Amartinez-cruz@fullerton.edu CSU-F Paul Sexton psexton@fjuhsd.k12.ca.us Buena Park High School

  2. Outline • Some comments about GSP • Getting Started: Some menus and commands • Dragging: The Transformation Menu • Repeating the same construction? No way! Use a Script

  3. Some Comments: • Software is extremely friendly, powerful and self-contained, but not perfect. • The power of the software lies on the ability to preserve the properties of Euclidean constructions when figures are dragged. • Strong tool for pedagogical purposes. • Constructions can be copied and pasted in other program documents but they become static. • Photos can be pasted in GSP docs. • Mathematical investigations are enticed. • Also good for analytic geometry.

  4. The tool palette

  5. The menus The Construct Menu

  6. The Transform Menu

  7. Dragging is not a Drag • Construct • Transform • Drag • The math is underneath Construct a human like figure using the circles and segments. Select (ie, mark) a line of reflection, and use the transform menu to reflect your figure. Then drag some (or all) parts.

  8. Repeating the same construction…. • No way! Use SCRIPTS

  9. Equilateral Triangle, Construction • Using ruler and compass, construct an equilateral triangle.

  10. Repeat the same construction in GSP

  11. CREATING A SCRIPT

  12. The Custom Tool

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