Unit 9

In this unit we learned about the mathematical skills.

Logical thinking according to Piaget; 

  • During the sensorimotor stage (ages 0-2), the child learns to experience the world physically. (reflexes, habits, object permanence).
  •  In the preoperational stage (ages 2-7), symbols are used, but thought is still "preoperational," they begin to use reasoning however it is mainly intuitive, instead of logical.
  • Lack of conservation.
  • The concrete operations stage (ages 6 or 7-11). The child begins to develop: ability to sort objects, to classify objects, understanding of conservation (physical quantities do not change based on the arrangement and/or appearance of the object).
  •  The formal operations stage (12-adulthood), introduces abstract thinking.

About the numbers we have the Counting Principles by Gelman and Gallistel:
  1. The one-one principle: There is a distinct counting word to match each of the items counted
  2. The stable-order principle: The list of words must be consistent.
  3. The cardinal principle: The final word tells us how many there are in the number of items counted.
  4. The abstraction principle: You can count any collection of objects whether real or imaginary.
  5. The order irrelevance principle. It doesn’t matter what order you count in as long as you count each object only once you will get the same result.


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