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What does successful teaching involve?

What does successful teaching involve?. Mara Alagic. What does successful teaching involve?. KNOWLEDGE of material SKILLS in delivering material ATTITUDES that foster learning … … . Mathematics Teaching Practices Supported by Research. Learning cycle approach Concept development

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What does successful teaching involve?

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  1. What does successful teaching involve? Mara Alagic Mara Alagic

  2. What does successful teaching involve? • KNOWLEDGE of material • SKILLS in delivering material • ATTITUDES that foster learning • … • … • ... Mara Alagic

  3. Mathematics Teaching Practices Supported by Research • Learning cycle approach • Concept development • Discrepant events • Cooperative learning • Concept Mapping • Analogies and Metaphors • Wait Time Mara Alagic

  4. Engage Explore Explain Elaborate Evaluate Concrete (manipulative, experience) Visual (pictorial, graphic) Abstract (symbolic, iconic) Learning Cycle with Concept Development Mara Alagic

  5. Learning (Piaget): access prior knowledge assimilation and/or disequilibrium accommodation organization organization Knowledge (Jerome Bruner) on physical level pictorial level symbolic level Learning Cycle with Concept Development (2) Mara Alagic

  6. Discrepant Events Examples: • … • ... • X X X X X M X X X X X X X X X X X X X Mara Alagic

  7. Cooperative learning • Assign groups • Agree on rules • Change roles Mara Alagic

  8. Concept Mapping (1) • Identify the relevant concept • Put them in order, from general to specific • Connect the terms with appropriate linking words • Inspiration - software Mara Alagic

  9. Concept Mapping (2) • Exploration of what is already known • Road-mapping a learning route • Extracting meaning from … (textbook, article, lesson, …) • Evaluating the effectiveness of a teaching unit • Evaluating student learning Mara Alagic

  10. Analogies and Metaphors •   +  =    ; 2+1=3 • A teacher is …. • 1+2+3+ … + 30 and “a rainbow” Mara Alagic

  11. Effects of Wait Time (1) • Length of student responses increases • Number of appropriate responses increases • Failure to respond decreases • Confidence of students increases • Creative thinking increases • Number of student questions increases • More students contribute • Variety of responses increases Mara Alagic

  12. Effects of Wait Time (2) • Teacher-centered discussions decrease AND student-to-student interactions about activities increase • Teachers • repeated themselves less • asked fewer low level questions • asked more probing questions • asked more application questions • Teachers reported an increase in anxiety as they began to try to extend their wait time Mara Alagic

  13. Effects of Wait Time (3) • What do you think … (wait time)… • What do you think that … (wait time)… • What if … (wait time)… Mara Alagic

  14. Think About ... • … • general praise at the end of class • neutral praise • think - share - pair - Mara Alagic

  15. Five Basic Elements of Teaching and Learning • Activating prior knowledge • Acquiring knowledge • Understanding knowledge • Using knowledge • Reflecting on knowledge Mara Alagic

  16. “We learn by doing if we reflect on what we’ve done.” - John Dewey Mara Alagic

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