Add like
Add dislike
Add to saved papers

Using the Rasch Model to Measure Comprehension of Fraction Addition.

In this study we investigate whether transformations between different representations of mathematical objects constitute a suitable framework for the assessment of students' comprehension of fraction addition. Participants (N = 164) solved a set of 20 fraction addition problems constructed on the basis of Duval's (2017) theory of the role of representational transformations in mathematical comprehension. Using Rasch measurement theory and principal component analysis, we found that the items could be separated into three levels of difficulty based on the transformation involved. This large-scale structure was consistent across gender and across subgroups of preservice teachers and middle-grade students. On a finer scale, the production of diagrammatic representations, and the type of diagrammatic representation involved, constitute potential subdimensions of the instrument. We conclude that transformations between representations can be productive for the assessment of fraction addition comprehension as long as care is taken to curtail the potential effects of multidimensionality.

Full text links

We have located links that may give you full text access.
Can't access the paper?
Try logging in through your university/institutional subscription. For a smoother one-click institutional access experience, please use our mobile app.

Related Resources

For the best experience, use the Read mobile app

Mobile app image

Get seemless 1-tap access through your institution/university

For the best experience, use the Read mobile app

All material on this website is protected by copyright, Copyright © 1994-2024 by WebMD LLC.
This website also contains material copyrighted by 3rd parties.

By using this service, you agree to our terms of use and privacy policy.

Your Privacy Choices Toggle icon

You can now claim free CME credits for this literature searchClaim now

Get seemless 1-tap access through your institution/university

For the best experience, use the Read mobile app