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Thinking about Learning, or Learning about Thinking. Dr. Alan Zollman Mathematical Sciences MATH 610 August 25, 2009. Effective Strategies. Effective Strategies. One Important Concept. Effective Strategies. One Important Concept Two Dumb Stunts. Effective Strategies.
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Thinking about Learning, or Learning about Thinking Dr. Alan Zollman Mathematical Sciences MATH 610 August 25, 2009
Effective Strategies • One Important Concept
Effective Strategies • One Important Concept • Two Dumb Stunts
Effective Strategies • One Important Concept • Two Dumb Stunts • Two Quick Actions
Effective Strategies • One Important Concept • Two Dumb Stunts • Two Quick Actions • Three Big Ideas
Effective Strategies • One Important Concept • Two Dumb Stunts • Two Quick Actions • Three Big Ideas • Two Predictors of College Success
Effective Strategies • One Important Concept • Two Dumb Stunts • Two Quick Actions • Three Big Ideas • Two Predictors of College Success • One Reflection
A mayber was raling his temp. Saintly a durf accotted some padis in his temp. “Why did yind accot padis in my blem temp?” the mayber quassed the durf. “Ar’m varrly grendy,” the durf trepped. “Ar hished yind merpled padis in your temp. Did yind rale your temp blem?”
A mayber was raling his temp. Saintly a durf accotted some padis in his temp. “Why did yind accot padis in my blem temp?” the mayber quassed the durf. “Ar’m varrly grendy,” the durf trepped. “Ar hished yind merpled padis in your temp. Did yind rale your temp blem?” Please answer the following question in complete sentences:
A mayber was raling his temp. Saintly a durf accotted some padis in his temp. “Why did yind accot padis in my blem temp?” the mayber quassed the durf. “Ar’m varrly grendy,” the durf trepped. “Ar hished yind merpled padis in your temp. Did yind rale your temp blem?” Please answer the following question in complete sentences: What did the durf accot in the mayber’s temp?
A mayber was raling his temp. Saintly a durf accotted some padis in his temp. “Why did yind accot padis in my blem temp?” the mayber quassed the durf. “Ar’m varrly grendy,” the durf trepped. “Ar hished yind merpled padis in your temp. Did yind rale your temp blem?” Please answer the following question in complete sentences: What did the durf accot in the mayber’s temp? What did the mayber quas the durf?
A mayber was raling his temp. Saintly a durf accotted some padis in his temp. “Why did yind accot padis in my blem temp?” the mayber quassed the durf. “Ar’m varrly grendy,” the durf trepped. “Ar hished yind merpled padis in your temp. Did yind rale your temp blem?” Please answer the following question in complete sentences: What did the durf accot in the mayber’s temp? What did the mayber quas the durf? Was the durf grendy?
A mayber was raling his temp. Saintly a durf accotted some padis in his temp. “Why did yind accot padis in my blem temp?” the mayber quassed the durf. “Ar’m varrly grendy,” the durf trepped. “Ar hished yind merpled padis in your temp. Did yind rale your temp blem?” Please answer the following question in complete sentences: What did the durf accot in the mayber’s temp? What did the mayber quas the durf? Was the durf grendy? Why did the mayber rale his temp?
A mayber was raling his temp. Saintly a durf accotted some padis in his temp. “Why did yind accot padis in my blem temp?” the mayber quassed the durf. “Ar’m varrly grendy,” the durf trepped. “Ar hished yind merpled padis in your temp. Did yind rale your temp blem?” Please answer the following question in complete sentences: What did the durf accot in the mayber’s temp? What did the mayber quas the durf? Was the durf grendy? Why did the mayber rale his temp? Is there a difference between knowing an answer and understanding a solution in mathematics? Adapted from Kenneth Goodman’s The Psycholinguistic Nature of the Reading Process
The Difference Between Teaching and Learningor How to Teach a Dog French
Two Dumb Stunts Of all the demographic data collected on students taking standardized tests, which one has the highest correlation with scoring the highest mathematics test scores?
Two Dumb Stunts 1) Give the Father Lottery Tickets
Two Dumb Stunts 1) Give the Father Lottery Tickets 2) Give the Parents Honorary Degrees
Two Dumb Stunts In applying the empirical research to the practical classroom, there is a difference between correlations
Two Dumb Stunts In applying the empirical research to the practical classroom, there is a difference between correlations and causations.
Two Quick Actions • Have lecture, individual, cooperative group activities
Two Quick Actions • Have lecture, individual, cooperative group activities • Have a daily reflection
Effective Strategies • Big Ideas • Jean Piaget’s Reflective Abstraction
Effective Strategies • Big Idea # 1 • Jean Piaget’s Reflective Abstraction • Generalization (Association)
Generalization (Association)Memorize the following 12 items in orderMake sure you can read the whole screen
Effective Strategies • Big Idea # 2 • Jean Piaget’s Reflective Abstraction • Generalization (Association) • Coordination (Assimilation)
Coordination (Assimilation) How do we add: 2 tens + 3 ones
Coordination (Assimilation) How do we add: 2 tens + 3 ones 2 thirds + 3 fourths
Coordination (Assimilation) How do we add: 2 tens + 3 ones 2 thirds + 3 fourths (2x + 4y) + (3x + y)
Effective Strategies • Big Idea # 3 • Jean Piaget’s Reflective Abstraction • Generalization (Association) • Coordination (Assimilation) • Encapsulation