cme12, 2012.07.02. – rzeszów, poland gergely wintsche generalization through problem solving...
TRANSCRIPT
- Slide 1
- CME12, 2012.07.02. Rzeszw, Poland Gergely Wintsche Generalization through problem solving Gergely Wintsche Mathematics Teaching and Didactic Center Faculty of Science Etvs Lornd University, Budapest
- Slide 2
- Gergely Wintsche Outline 1. Dissections, examples 2. The Wallace-Bolyai-Gerwein theorem 3. Cutting a quadrilateral The basic lemma Triangle Trapezoid Quadrilateral Part II / 2 Cut a quadrilateral into 2 halves
- Slide 3
- Gergely Wintsche The tangram Part II / 3 Cut a quadrilateral into 2 halves
- Slide 4
- Gergely Wintsche The pentominos Part II / 4 Cut a quadrilateral into 2 halves
- Slide 5
- Gergely WintschePart II / 5 Cut a quadrilateral into 2 halves Introduction The Wallace-Bolyai-Gerwien theorem
- Slide 6
- Gergely WintschePart II / 6 Cut a quadrilateral into 2 halves Introduction The Wallace-Bolyai-Gerwien theorem
- Slide 7
- Gergely WintschePart II / 7 Cut a quadrilateral into 2 halves Introduction The Wallace-Bolyai-Gerwien theorem
- Slide 8
- Gergely WintschePart II / 8 Cut a quadrilateral into 2 halves Introduction The Wallace-Bolyai-Gerwien theorem
- Slide 9
- Gergely WintschePart II / 9 Cut a quadrilateral into 2 halves Introduction The Wallace-Bolyai-Gerwien theorem
- Slide 10
- Gergely WintschePart II / 10 Cut a quadrilateral into 2 halves Introduction The basic problem
- Slide 11
- Gergely WintschePart II / 11 Cut a quadrilateral into 2 halves Introduction The triangle
- Slide 12
- Gergely WintschePart II / 12 Cut a quadrilateral into 2 halves Introduction The quadrilateral
- Slide 13
- Gergely WintschePart II / 13 Cut a quadrilateral into 2 halves Introduction The trapezoid
- Slide 14
- Gergely WintschePart II / 14 Cut a quadrilateral into 2 halves Introduction Quadrilateral
- Slide 15
- Gergely WintschePart II/ 15 Cut a quadrilateral into 2 halves Introduction Solution (1)
- Slide 16
- Gergely WintschePart I / 16 Cut a quadrilateral into 2 halves Introduction Solution (2)
- Slide 17
- Gergely WintschePart II / 17 Cut a quadrilateral into 2 halves Introduction The quadrilateral