Number

Question 1

Do we share any numeric cognitive system with other species?

Answer 1

Yes, some animals can count

Question 2

MISCONCEPTION LED BY PIAGET

Answer 2

“Children at different stages cannot learn the same content. They cannot learn about number, for example, until they reach the concrete operational stage.”*

Do babies have basic counting skills?
•  YES.
Can babies do basic arithmetic operations?
•  YES.
What about more advanced counting? 
•  It is a continuous trajectory.

Question 3

What is the difference between a stage-based and a continuous developmental theory?

Answer 3

Some theorists believe that children develop smoothly and continuously, but other theorists believe that children develop more discretely in a series of stages, each of which is fairly stable.

theorists who believe children grow discontinuously believe children grow in stages as they seem to develop chunks of abilities and to experience events at certain times in life.

Question 4

Counting principles

Answer 4

One to one principle • One name per item:
• “one, two, three” OR “one, four, two” but NOT “one, two, two”
• Stable order principle
• Say names in the same order (consistency)
• For counting multiple sets of three objects
• “two, four, five” is OK if consistent
• Cardinality principle
• Last name gives the number in the set:
• “one, two, three”: Three means that there are three objects
• Abstraction principle
• Counting applies to a variety of objects, even mixed sets!
• The order-irrelevance principle
• Left to right versus right to left doesn’t matter!

Question 5

Does math anxiety affect math ability?

Answer 5

YES for mathematical applications.
NO for geometric reasoning.
Working memory is important, too

Question 6

The Role of Expressive Writing in Math Anxiety

Answer 6

College students can benefit from this type of intervention