According to Piaget, there are three types of abstraction, i.e. (1) empirical, (2) pseudo, and (3) reflective. I have tried to understand the concepts, but fail to see the concrete examples of the three concepts in school mathematics topics.

What are the examples of empirical abstraction in arithmetic, algebra, geometry, statistics, etc.?

What are examples of pseudo abstraction in arithmetic, algebra, geometry, statistics, etc?

What are examples of reflective abstraction in arithmetic, algebra, geometry, statistics, etc?

Please help me.

Best regards

Abdur Rahman As'ari 

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