Habits of Mind

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Description of habits of mind that we would like our teachers to install in our learners

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Habits of Mind

  1. 1. We develop learners into Problem-Solvers through the Teaching and Learning of Mathematics Sandra Van Niekerk 1
  2. 2. Learners will develop mathematical habits of mind  Focus on a deeper understanding of Mathematics  Back vs Front mathematics (Reuben Hersh) Hersh  Alwyn Olivier Sandra Van Niekerk 2
  3. 3. Theory and research shows that we develop  habits and skills of interpretation  and construct meaning though a process of socialization or enculturation rather than through instruction Sandra Van Niekerk 3
  4. 4. What are these habits?  Retha Van Niekerk  Paul Lindenberg  Alwyn Olivier Sandra Van Niekerk 4
  5. 5. Students will be pattern sniffers.  It will become part of their culture of thinking  They will find utter delight doing this Sandra Van Niekerk 5
  6. 6. Students will be experimenters.  Just like scientists - keep one variable constant - Play with the shape - Thought experiments - Skeptics Sandra Van Niekerk 6
  7. 7. Students will be describers.  Give precise descriptions  Argue  Write  Invent notation Sandra Van Niekerk 7
  8. 8. Students will be tinkerers.  They will take expressions apart and put them together Sandra Van Niekerk 8
  9. 9. Students will be inventors.  Tinkering leads to invention  Eg Invent structures Sandra Van Niekerk 9
  10. 10. Students will be visualizers.  Draw a sketch of what you see  Visualise analogues  Visualise relationships Sandra Van Niekerk 10
  11. 11. Students will be conjecturers.  Central to mathematics  However takes time to develop  At least data driven conjectures Sandra Van Niekerk 11
  12. 12. Students will be guessers.  Wonder strategy Just guess and check your guess Start at the answer with a guess and working backwards Sandra Van Niekerk 12
  13. 13. How will this happen? - Off line - On line Tools for 21st Century learning  Teacher Leadership  Teacher Learning  Student Learning  Administrative learning Management systems Parents Sandra Van Niekerk 13
  14. 14. Tools for 21st Century learning  Cell phones (eg Dr Maths on Mxit)  Games (on cell phones, on and offline)  Web 2.0 tools  Social networking (Ning)  Course Managements systems (Moodle)  Wiki’s  Virtual Learning (Wiziq, Ning)  Mentoring: Skype, Mxit, Google tools Sandra Van Niekerk 14
  15. 15. Develop Mathematics Teacher leaders to change STUDENTS’ LEARNING      STUDENTS’ TEACHER’S BELIEFS BELIEFS - MATHEMATICS CLASSROOM  - MATHEMATICS - LEARNING - TEACHING  MATHEMATICAL - LEARNING - TEACHING - SELF CULTURE - STUDENTS Sandra Van Niekerk 15 Source: Alwyn Olivier
  16. 16. Sandra Van Niekerk Uplands Outreach Secondary School Programme http://mathsoutreach.wordpress.com/ Sandra Van Niekerk 16

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