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Teachers' epistemic beliefs !
  about MKT definitions
Reidar Mosvold and Janne Fauskanger
Overview

• Title of our paper: Teachers' knowledge of
  mathematical definitions: What they need to
  know, and what they think they need to know!
• RQ: What do teachers' reflections on MKT items
  reveal about their epistemic beliefs concerning
  mathematical knowledge for teaching definitions?!
  !
  !

In our paper, 'epistemic beliefs' refer to teachers' domain-specific
     beliefs about knowledge and knowing (MKT definitions)
Methods

• Focus group interviews (7)!
• Fifteen participating teachers!
• New analysis of data!
• Content analysis of transcriptions (two
  independent)!
• Word counts, key words in context, emerging
  categories, qualitative analysis and discussions
Results

• Definitions and related terms were discussed in
  all interviews!
• All interviews contained negative statements!
• All but one interview contained positive
  statements
Positive statement
Negative statement
Results #2

• Knowledge of definitions is an important pre-
  requisite!
• Remembering the definitions is not an important
  part of teachers' knowledge!
• Definitions are more important in the higher
  grades!
• Correct definitions might be confusing to
  students
Conclusions

• Knowledge of definitions is important!
• ... but remembering the definitions is not!
Questions for further discussion

• Answers to multiple-choice items + written
  reflections—potentials, limitations, suggestions?!
• FGI with MKT items as starting point—
  possibilities, limitations, analysis, theory?
And, that's all...

•   Thanks for listening!!
•   Our website: http://ukm-stavanger.info!
•   My website: http://rmosvold.com !
•   My email: reidar.mosvold@uis.no !
•   Twitter: @rmosvold
The egg
Tasks of teaching
Example item
Background

•   Norwegian MKT project (2008-2012)!
•   Translating and adapting items!
•   Tests and focus group interviews!
•   PD course!
•   International collaboration!
•   There's something about these tasks of
    teaching...
Some relevant publications

• NPT 2008 (knowledge and beliefs, MKT)!
• AERA 2009 and NOMAD 2009 (challenges of
  translation)!
• NPT 2010 (challenges of adaptation)!
• NOMAD 2011 (challenges of format)!
• TME 2012 (cultural challenges)!
• ZDM 2012 (IRT and ongoing adaptation)!
• AERA 2012 (epistemic beliefs about MKT)
Implications and suggestions

• MKT and beliefs!
• FGIs about particular tasks of teaching!
• Cultural differences in teachers' beliefs about
  MKT!
• Cultural differences regarding the tasks of
  teaching!
• Curriculum material, beliefs, MKT, ... Cultural
  aspects

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Aera 2012

  • 1. Teachers' epistemic beliefs ! about MKT definitions Reidar Mosvold and Janne Fauskanger
  • 2. Overview • Title of our paper: Teachers' knowledge of mathematical definitions: What they need to know, and what they think they need to know! • RQ: What do teachers' reflections on MKT items reveal about their epistemic beliefs concerning mathematical knowledge for teaching definitions?! ! ! In our paper, 'epistemic beliefs' refer to teachers' domain-specific beliefs about knowledge and knowing (MKT definitions)
  • 3. Methods • Focus group interviews (7)! • Fifteen participating teachers! • New analysis of data! • Content analysis of transcriptions (two independent)! • Word counts, key words in context, emerging categories, qualitative analysis and discussions
  • 4. Results • Definitions and related terms were discussed in all interviews! • All interviews contained negative statements! • All but one interview contained positive statements
  • 7. Results #2 • Knowledge of definitions is an important pre- requisite! • Remembering the definitions is not an important part of teachers' knowledge! • Definitions are more important in the higher grades! • Correct definitions might be confusing to students
  • 8. Conclusions • Knowledge of definitions is important! • ... but remembering the definitions is not!
  • 9. Questions for further discussion • Answers to multiple-choice items + written reflections—potentials, limitations, suggestions?! • FGI with MKT items as starting point— possibilities, limitations, analysis, theory?
  • 10. And, that's all... • Thanks for listening!! • Our website: http://ukm-stavanger.info! • My website: http://rmosvold.com ! • My email: reidar.mosvold@uis.no ! • Twitter: @rmosvold
  • 14. Background • Norwegian MKT project (2008-2012)! • Translating and adapting items! • Tests and focus group interviews! • PD course! • International collaboration! • There's something about these tasks of teaching...
  • 15. Some relevant publications • NPT 2008 (knowledge and beliefs, MKT)! • AERA 2009 and NOMAD 2009 (challenges of translation)! • NPT 2010 (challenges of adaptation)! • NOMAD 2011 (challenges of format)! • TME 2012 (cultural challenges)! • ZDM 2012 (IRT and ongoing adaptation)! • AERA 2012 (epistemic beliefs about MKT)
  • 16. Implications and suggestions • MKT and beliefs! • FGIs about particular tasks of teaching! • Cultural differences in teachers' beliefs about MKT! • Cultural differences regarding the tasks of teaching! • Curriculum material, beliefs, MKT, ... Cultural aspects