van hiele theory - project maths · level 5, rigor level 4, deduction level 2, descriptive level 3,...
TRANSCRIPT
Van Hiele Model of Geometric Thought
1 2 3 4 5
Level 1, Visual
Level 5, Rigor
Level 4, Deduction
Level 2, Descriptive
Level 3, Relational
Level 1, Visual
Level 5, Rigor
Level 4, Deduction
Level 2, Descriptive
Level 3, Relational
Level 1, Visual
Level 5, Rigor
Level 4, Deduction
Level 2, Descriptive
Level 3, Relational
Level 1, Visual
Level 5, Rigor
Level 4, Deduction
Level 2, Descriptive
Level 3, Relational
Model may:• explain why many students
encounter difficulties in geometry
• clarify many shortcomings that you have noticed in your students’ learning
• offer ways to improve it
1 2 3 4 5
• Phase 1 Information
• Phase 2 Guided Orientation
• Phase 3Explicitation
• Phase 4Free Orientation
• Phase 5Integration
5 cm 4 cm
6 cmA B
C
5 cm
4 cm
X
Y Z
6 cm
Draw the following four triangles, put the numbers , , , and in the centre of the
triangle and cut them out.
1 2 3 4
1 AB 4 cm, BC 5 cm, AC 6 cm 2 0AB 6 cm, BAC 40 cm, BC 7 cm
3 0 0 ABC 20 , BC 8 cm, BCA 40 cm 4 o o o ABC 60 , BAC 50 , ACB 70