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We emphasize that this is an evaluation of the representations contained within the problem, not necessarily an evaluation of all the representations used by the students. Students were intended to (and often did) use FBDs and pictures in many of their solutions of Rutgers exam problems that were strictly mathematical in presentation
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We emphasize that this is an evaluation of the representations contained within the problem, not necessarily an evaluation of all the representations used by the students. Students were intended to (and often did) use FBDs and pictures in many of their solutions of Rutgers exam problems that were strictly mathematical in presentation.
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We had initially planned to give problem 4 separately, but changed this partway through the study, resulting in some recitation sections not receiving problem 4
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We had initially planned to give problem 4 separately, but changed this partway through the study, resulting in some recitation sections not receiving problem 4.
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We have found that leaving the data unnormalized tends to prompt the conclusion that the Rutgers students substantially outperformed the CU students, neglecting the previously mentioned problem format difference
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We have found that leaving the data unnormalized tends to prompt the conclusion that the Rutgers students substantially outperformed the CU students, neglecting the previously mentioned problem format difference.
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We will not attempt to argue causation here. It could well be that using multiple representations leads to better performance directly. Alternatively, it could be that better students overall are more likely to use multiple representations. Or, most likely in our opinions, these are both true, and are intertwined
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We will not attempt to argue causation here. It could well be that using multiple representations leads to better performance directly. Alternatively, it could be that better students overall are more likely to use multiple representations. Or, most likely (in our opinions), these are both true, and are intertwined.
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