20181109 TIU Symposium - ALBRECHTpdf
20181109 TIU Symposium - ALBRECHTpdf
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  1. Learning to Communicateand@nomad_penguinTIU Teaching and Learning Symposium (9 November 2018) Dr Amie Albrecht Senior Lecturer, Mathematicswww.tinyurl.com/TIU18-AAamie.albrecht@unisa.edu.au amiealbrecht.com Communicating to Learn
  2. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Developing Mathematical Thinking (MATH 1070)•A mathematical problem-solvingcourse for pre-service teachers •Two 2-hour workshops each week; fifty students •Encourages students to work in the ‘back’ of mathematics
  3. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Developing Mathematical Thinking (MATH 1070)•A mathematical problem-solvingcourse for pre-service teachers •Two 2-hour workshops each week; fifty students •Encourages students to work in the ‘back’ of mathematics
  4. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Developing Mathematical Thinking (MATH 1070)•A mathematical problem-solvingcourse for pre-service teachers •Two 2-hour workshops each week; fifty students •Encourages students to work in the ‘back’ of mathematics •A ‘community of mathematical inquiry’ in which: ‘students learn to speak and act mathematically by participating in mathematical discussion and solving new or unfamiliar problems’ •‘Learning to communicate’ and ‘Communicating to learn’Goos, M. 2004. ‘Learning mathematics in a classroom community of inquiry’, J. Research in Mathematics Education, 50(1).
  5. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Why ‘Learning to Communicate’?•All professionals need to be able to communicate •Communicate effectively in the language of mathematics
  6. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Why ‘Learning to Communicate’?•All professionals need to be able to communicate •Communicate effectively in the language of mathematicsMakeAthesubjectofr=!Aπ.()2()2r2=Aπ×(π)×(π)πr2=A∴A=πr2MakeAthesubjectofr=!Aπ.Squarebothsidesoftheequationtogetr2=Aπ.Multiplybothsidesbyπ,givingπr2=A.HenceA=πr2.1MakeAthesubjectofr=!Aπ.()2()2r2=Aπ×(π)×(π)πr2=A∴A=πr2MakeAthesubjectofr=!Aπ.Squarebothsidesoftheequationtogetr2=Aπ.Multiplybothsidesbyπ,givingπr2=A.HenceA=πr2.1
  7. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Why ‘Learning to Communicate’?•All professionals need to be able to communicate •Communicate effectively in the language of mathematics•Similarities to communicating in English: -general rules of style (structure; aim for simple and concise) -normal rules of grammar and punctuation •Differences from communicating in English: -abundance of symbols and technical terms -common words are used in a specialised sense (e.g. normal, integrate) -literal and precise -style of argumentation (mathematical proof; deductive, not inductive) -running examples are indispensable -multitude of different representations (visual, numerical, symbolic, ...)
  8. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)www.microsoft.com/en-us/research/academic-program/write-great-research-paper/ThinkWrite paperGet a problemWhy ‘Learning to Communicate’?
  9. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Why ‘Communicating to Learn’?Get a problemWritepaperThinkGet a problemThinkWrite paperwww.microsoft.com/en-us/research/academic-program/write-great-research-paper/
  10. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Why ‘Communicating to Learn’?•A problem-solving tool-crystallises what we don’t understand -stops us revisiting unsuccessful ideas -helps us get started -opens a way to get feedback from others
  11. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Why ‘Communicating to Learn’?•A problem-solving tool-crystallises what we don’t understand -stops us revisiting unsuccessful ideas -helps us get started -opens a way to get feedback from others •Facilitates learning-increases ability to articulate and justify own thinking -listening to and making sense of the ideas of others improves argumentation and develops deeper understanding
  12. ‘Learning to Communicate’ and ‘Communicating to Learn’Dr Amie Albrecht (@nomad_penguin)Why ‘Communicating to Learn’?•Shapes mathematical identity-increases confidence -encourages participation -expands perceptions of mathematics
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