Exam 4: Learning Mathematics

Which of the following is an example of concrete representation?

Learning at two levels, experience and abstraction, is proposed by:

Memorizing the steps in long division is:

The zone of proximal development and scaffolding are ideas about learning put forth by:

The theory of multiple intelligences is the idea put forth by:

Based on research, Grouws and Cebulla recommend classroom practices such as:

ERIC is:

The theory that suggests that children must understand what they are learning if learning is to be permanent was put forth by:

According to research by LeFrancois, the memories that are stored and retrieved by the brain are apparently controlled by all of the following except :

Explain how the common theme in the theories put forth by Skemp, Dienes, and Bruner affect children's learning of mathematics.

The brain model of human learning suggested by Hart emphasizes:

Classification of objects helps students develop:

The theory of social constructivism that emphasizes the social context of learning is associated with:

Explain why it is important for teachers to know about learning theorists when teaching elementary mathematics.

Hart puts forth six premises about how the brain is built to learn. Give two of his premises with accompanying examples to illustrate how you would use this information in teaching children mathematics.

Disequilibrium during learning:

Piaget suggested that cognitive development progresses through four stages (sensorimotor, preoperational, concrete operational, and abstract). Choose two of these stages and explain what he meant by them. Give examples to help you explain.

One cognitive theory called information processing uses a computer as a metaphor for how children learn. Explain the basic concepts of this metaphor as it relates to computers and children's learning processes.

Discuss the metaphor implied in the term "constructivism."