Van Hiele Theory - Project Maths · Level 5, Rigor Level 4, Deduction Level 2, Descriptive Level 3, Relational Level 1, Visual Level 5, Rigor Level 4, Deduction Level 2, Descriptive

Van Hiele Model of Geometric Thought

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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

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• 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.

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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