Day 4

Theories and More Theories in Day 4

We discussed two of Piaget’s theory today. According to Piaget :

v  Assimilation happens when a child responds to a new event. In this process, new information is added to the existing knowledge.

v  Accomodation is the process when a child responds to a conflict and the child modifies an existing schema or form another new schema to solve the problem.
Today, we also discussed about van Hiele’s theory.

·         Level 1: Analysis (drawing and verbal skills)

           Children at the analysis level think in terms of properties.

          They can list all of the properties of a figure but don’t see any relationships between

          the properties, and don’t realize that some properties imply others.

·         Level 2:  Informal Deductive (verbal skills)

            Children at the informal deduction level not only think about properties but also are

            able to notice relationships within and between figures.

·         Level 3: Deduction

Children at the formal deductive level think about relationships between properties of

            shapes and also understand relationships between axioms, definitions, theorems,

            corollaries, and postulates. They understand how to do a formal proof and understand   

            why it is needed.

We had several activities using tangrams. Using the tangrams provided, we are supposed to make a bigger shape using the smaller ones. It was a challenged in the beginning, but after a few attempts, we had fun J