PREVIOUSLY ASKED IN:
CTET 2024
Answer
Level 1: Analysis
Explanation
At Level 1 (Analysis / Descriptive) of Van Hiele's model, learners can identify and describe shapes by their mathematical properties (e.g., sides, angles, diagonals) rather than merely by overall appearance.
Key Points
- > Level 0 (Visualization) recognizes shapes purely by holistic visual appearance.
- > Level 1 (Analysis) describes and analyzes figures based on their mathematical properties.
- > Level 2 (Informal Deduction) establishes relationships between properties and classes of shapes.
Additional Information
- Pierre van Hiele and Dina van Hiele-Geldof formulated this 5-level geometric cognition framework in 1957.
- The theory underscores that progress through levels depends on effective instruction rather than chronological age.
| Van Hiele Level | Level Name | Cognitive Competency |
|---|---|---|
| Level 0 | Visualization | Recognizes shapes as holistic visual entities |
| Level 1 | Analysis | Analyzes individual geometric attributes and properties |
| Level 2 | Informal Deduction | Understands hierarchical relationships between shapes |
| Level 3 | Formal Deduction | Constructs formal deductive mathematical proofs |
| Level 4 | Rigor | Analyzes axiomatic systems and non-Euclidean geometries |