Van Hiele theory of geometrical thought

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This theory provides an insight to the teacher about how the students learn geometry at different levels. It depicts that how the students learn at each level and pass to another level. 

Van Hiele Level
Level '0' : Visualisation
Level '1' : Analysis
Level '2' : Informal deduction
Level '3' : Formal deduction
Level '4' : Rigor

Level '0' Visualisation 

Students can identify shapes by their overall appearance which should be the exact same shape.
 If they are turned upside down, they cannot identify the shapes.  It mostly deals with elementary level classes.

Level 1 Analysis 

They learn the functions and parts of the shape.  They can elaborate the properties of a shape and recognize shapes that have similar properties.  It also belongs to elementary level classes. 

Level 2 Informal deduction 

At this stage students will be able to understand the relationship between properties of figure .They Can take part in informal deductive discussions and can discuss the different Characteristic of figures. It belongs to upper elementary classes. 

Level  3 Formal deduction 

At this stage students become aware of more complex geometric concepts.  According to van Hiele, students in this stage are able to work with abstract statements about geometric properties and draw conclusions based more on logic than intuition.  It is related to higher level classes.

Level 4 Rigor

This is the last level of geometrical learning belongs to the senior secondary and university level of classes. At this stage students are able to compare different geometrical results. 

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