Download presentation
Presentation is loading. Please wait.
Published byShanon McCormick Modified over 9 years ago
1
Van Hiele Levels Math Alliance September 14, 2010 Kevin McLeod Chris Guthrie
2
Van Hiele Levels of Geometric Reasoning Level 0: Visualization Level 1: Analysis (Description) Level 2: Informal Deduction Level 3: Formal Deduction Level 4: Rigor
3
Van Hiele Levels of Geometric Reasoning Level 0: Visualization Students see shapes as total entities, but do not recognize properties (“It’s a rectangle, because it looks like a door”.)
4
Van Hiele Levels of Geometric Reasoning Level 1: Analysis Students identify properties of figures, and see figures as a class of shapes (“It’s a rectangle, because it has one long set of sides and one short set of sides, and opposite sides are parallel, and …”.)
5
Van Hiele Levels of Geometric Reasoning Level 2: Informal deduction Students recognize relationships between properties of shapes, and between classes of shapes; they also develop informal explanations using these relationships. (“It’s a rectangle, because it is a quadrilateral with four right angles”.)
6
Van Hiele Levels of Geometric Reasoning Level 3: Formal Deduction Students understand the significance of deduction as a way of establishing geometric theory within an axiom system; they also see the interrelationship and role of undefined terms, axioms, theorems, and formal proof.
7
Van Hiele Levels of Geometric Reasoning Level 4: Rigor Students see geometry in the abstract, even without concrete examples; they compare geometric results in different axiom systems (non-Euclidean geometries).
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.