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BehaviorIAL E.L. Thorndike Learning as behavior exhibited to a particular task(Bond Theory - Stimulus Response.) Mathematics as procedures. . Cognitive John Dewey Learning as a cognitive structure exhibited by adaptability to new situations. (Learning as a growth process)
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BehaviorIAL E.L. Thorndike Learning as behavior exhibited to a particular task(Bond Theory - Stimulus Response.) Mathematics as procedures. Cognitive John Dewey Learning as a cognitive structure exhibited by adaptability to new situations. (Learning as a growth process) Mathematics problem solving. 1900-1950
Behavioral Pavlou, B.F.Skinner Gagne’, Bloom, Saxon. Cognitive Dienes (Models), Piaget (Stage Development), Brownell ( Meaning Theory), J. Bruner ( Structure) , P. Kobb (Constructivist) Others
1900 - 1944 Basic Computation for finance, construction and commerce. Dominate Psychology Behavioral What Society Valued.
Focus of instruction • Determine the behavior that is desired. • Determine the bonds that are necessary to elicit this behavior • Break up instruction into bonds • Instruct in a logical schema
Role of the Teacher • The central activity in the classroom.
Role of the Student Passive Recipient of Knowledge
Example Law of Cosines • Compute the a missing side of a triangle given a angle. • What do students have to know? • c2 = a2 + b2 - 2ab (cos <C) a2 = c2 + b2 - 2bc (cos < A) b2 = a2 + c2 - 2ac (cos < B)
What is the answer? Find the missing side: 1. 2.
Advantages • Break up the curriculum into small pieces • Makes objectives clear and measurable Disadvantages • Children frequently cannot transfer to a novel situation or • A situation that is not identical the the bond formed in class.
Cognitive- Constructionist • Provides a meaningful task. • Establishes meaning . • Connects knowledge to prior knowledge. • Provides a structure as opposed to a rule.
Law of Cosines • What does it mean? • What connection connection here to prior knowledge? • What is the structure here?
1930-1950 • Dewey - Learning as Growth • Kilpatrick - Project Method • William Brownell - Meaning Theory • Zoltan Dienes - Meaning Through Models
1950 - Present • Jereome Bruner • Jean Piaget • Max Beberman UICSM • Robert Davis Madison Project • Edwin Begle SMSG