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8/6/2019 Presentation - Norma 2011
http://slidepdf.com/reader/full/presentation-norma-2011 1/13
Correlations between teachers’ MKT in differentcontent areas
Arne Jakobsen, Janne Fauskanger, Reidar Mosvold and Raymond Bjuland
8/6/2019 Presentation - Norma 2011
http://slidepdf.com/reader/full/presentation-norma-2011 2/13
Disposition
• History and background– Professional development programs to
meet teachers’ needs
– Mathematical knowledge for teaching(MKT)
Our project research question: What are the possibilities and
challenges of using the MKT measures in Norway?
•
• The project so far– Translation
– Pilot: 142 teachers measured and 7 focusgroup interviews
•
• NORMA 2011: What are the correlations between teachers’ MKT score in the three content areas: number concepts
8/6/2019 Presentation - Norma 2011
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MKT - the «egg»
Ball, D. L., Thames, M. H., & Phelps, G. (2008, p. 403).
8/6/2019 Presentation - Norma 2011
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Translation and adaptation
Mosvold, R., Fauskanger, J., Jakobsen,
A., & Melhus, K. (2009).
8/6/2019 Presentation - Norma 2011
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The multiple-choice format
Focus group interviews.
How can Norwegian teachers’ reflections aboutthe MKT items contribute to our
understanding of challenges related to
the multiple-choice format?
•
•
8/6/2019 Presentation - Norma 2011
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Item Responce Theory (IRT)
• How can information about items psychometricproperties give new insight when adapting U.S.developed MKT measure for use in Norway?
•
• An item performance is described by an item
characteristic function (with different difficultyand slopes).
•
• Monotonically increasing function – as the MKTincrease the probability of correct answerincrease.
•
• Slope and difficulty is of importance.
8/6/2019 Presentation - Norma 2011
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Item performance
8/6/2019 Presentation - Norma 2011
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IRT findings
We found that items can be divided into three
groups:
1)Items that do not seem to function in Norway
2)Items that function well, but have relatively high
difference in item characteristics in
Norway compared to the U.S., and
3)Items that seem to function well and that have
item characteristics close to what isreported in the U.S.
Quantitative + qualitative analyses!
1)
8/6/2019 Presentation - Norma 2011
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Teachers’ MKT
Focus group interviews:
We expected that teachers with strong MKT in
one content area would be strong in other
content areas relevant for their level of
teaching.
The teachers argued that some of the content
areas were not relevant and more difficult
compared to others
- our motivation to study correlations
••
8/6/2019 Presentation - Norma 2011
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Correlation between NCOP and GEOMETRY is 0.701 (p-
value < 0.0005).
8/6/2019 Presentation - Norma 2011
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Correlations (Pearson, p-value<0.005)
• Teachers’ MKT scoresin different content
areas are correlated•
• All correlations aresignificant –
weakest correlationbetween PFA andNCOP
•
Correlations
NCOP PFA
GEOM 0.701 0.673
PFA 0.580
8/6/2019 Presentation - Norma 2011
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Conclusion
• We find that teachers’ MKT scores in the three
content areas are correlated
– Teachers with high MKT in one content areahave high MKT in other content areas and
vice versa
–
–
Despite comments from teachers that notfinding PFA items relevant for their teaching,
their PFA MKT is related to MKT in the othercontent areas
8/6/2019 Presentation - Norma 2011
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Questions
• How can the MKT measures be used when
designing professional development for
Norwegian teachers?
Discussing items as part of professional
development to learn more about
teachers’ MKT?
•
• Framework and other theories?
•
• Possibilities and limitations?
•