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Theory versus Practice Revisiting an outstanding research problem in mathematics education The case of teacher professional development  - from the  view of a mathematician - Prof. Dr. Günter Törner, Universität Duisburg-Essen
0. Contents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
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[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
2.  Searching for the relevant literature: Theory-practice-dichotomy (TPD) 1 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],2.  Searching for the relevant literature: Theory-practice-dichotomy (TDP) 2
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],3.  What are the main characteristics of the TPD? The  structure  of the problem
3.  What are the main characteristics of the TPD? The search for an adequate  model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
3.  What are the main characteristics of the TPD? In which  metaphor  do we believe? ,[object Object]
3.  What are the main characteristics of the TPD? Are there  neighboring problem  fields? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
3.  What are the main characteristics of the TPD? Search for relevant literature ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
4. ‘Excursion’: The TPD in mathematics Contrasts and similarities ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
5. Changing the challenge: The practice-theory-challenge The ‘practice side’ of our problem Mathematics Done Differently a German Initiative for  Teachers‘ Professional Development
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6. Continuous Professional Development (CPD)  Everyday Learning ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
6.  Continuous Professional Development (CPD)   Educational Demands ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
6. Continuous Professional Development (CPD)  Conflicting Contexts Professional development takes place in a field of tension Teachers‘ needs Educational demands „ Administration should ...“ „ Teachers should ...“
6.  Continuous Professional Development (CPD)  Challenges ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
6. Continuous Professional Development (CPD)  Different Approaches ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
7. Mathematics Done Differently In-Service Training Initiative ,[object Object],[object Object],[object Object],[object Object]
7. Mathematics Done Differently Identifying Teachers‘ Needs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
7. Mathematics Done Differently Constitutive   Characteristics (I) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
7. Mathematics Done Differently Constitutive   Characteristics (II) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
7. Mathematics Done Differently   Course Statistic Courses 20 Waiting list 30 In preparation 26 Scheduled courses 60 Performed courses Courses “on demand” 11 In preparation 5 Scheduled courses 7 Performed courses
7. Mathematics Done Differently Courses on Demand (I) ,[object Object],[object Object]
7. Mathematics Done Differently Courses on Demand (II) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
7. Mathematics Done Differently Conclusions (I) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
7. Mathematics Done Differently  Conclusions (II) ,[object Object],[object Object],[object Object],[object Object],[object Object]
7. Mathematics Done Differently  Geometry Unplugged (I)
7. Mathematics Done Differently  Geometry Unplugged  (II)
7. Mathematics Done Differently  Geometry Unplugged  (III)
8.  Looking back Theoretical settings ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
8.  Looking back Requirements and ambiguity in CPD ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
8. Looking back To accept ‘dirty’ and ‘dusty’ practice ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
8.  Looking back What I would personally like to remark... ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
8. Looking back What I would personally like to remark... ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
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Yess 4 Günter Törner

  • 1. Theory versus Practice Revisiting an outstanding research problem in mathematics education The case of teacher professional development - from the view of a mathematician - Prof. Dr. Günter Törner, Universität Duisburg-Essen
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  • 18. 5. Changing the challenge: The practice-theory-challenge The ‘practice side’ of our problem Mathematics Done Differently a German Initiative for Teachers‘ Professional Development
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  • 23. 6. Continuous Professional Development (CPD) Conflicting Contexts Professional development takes place in a field of tension Teachers‘ needs Educational demands „ Administration should ...“ „ Teachers should ...“
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  • 30. 7. Mathematics Done Differently Course Statistic Courses 20 Waiting list 30 In preparation 26 Scheduled courses 60 Performed courses Courses “on demand” 11 In preparation 5 Scheduled courses 7 Performed courses
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  • 35. 7. Mathematics Done Differently Geometry Unplugged (I)
  • 36. 7. Mathematics Done Differently Geometry Unplugged (II)
  • 37. 7. Mathematics Done Differently Geometry Unplugged (III)
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  • 43. Thanks for your patience

Editor's Notes

  1. I was asked to contribute and to participate, but the topic was not chosen by me. Nevertheless, so I regard the topic as a challenge, I approached the issue from a more theoretical point of view but also learnt that I often worked in this field, however not consciously being aware. In some sense my approach is genetic, the genetic principle - by the way - a very fruitful and important one in didactics. Thus I invite you to follow me - and I repeat myself: it is my intention to throw light on the theoretical aspects on the topic, but imminantly I apply the framework to an actual project in which I am involved.