Abstract

<p>Normalized change is a familiar expression used to measure student’s improvement in physics education research, including critical thinking skill improvement. A widely used standardized critical thinking test is the Cornell Critical Thinking Test. The CCTT scoring method, rights minus one-half the number wrong, results from possible interval scores ranging from the negative minimum score to positive maximum score. The problem then arises in the use of the normalized change in CCTT scores, particularly in the situation when the post-test score is worse than the pre-test score. We reveal the used equation deficiencies and demonstrate the mistakes made by undergraduate researchers, as well as suggesting a modified equation that can be used under the normalized change rationale, i.e. the ratio of the gain or the loss of the maximum possible gain or loss. Some frequently asked questions about normalized change are also discussed.</p>

Highlights

  • The expression of normalized gain has been widely used in physics education research since it was first proposed by Hake (1998a)

  • An Issue of Using c for CCTT This issue comes from a case of using c for the Cornell Critical Thinking Test, when students show less performance in the posttest than in the pre-test

  • The last, Eq (2d) produces a non-symmetric range of scores which leads to misinterpretation of the results, as shown by dashed line at the isograms in Fig. (1a)

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Summary

Introduction

The expression of normalized gain has been widely used in physics education research since it was first proposed by Hake (1998a). The normalized change measures all possible changes in students’ performance after the instruction with Eq (2), where the post and pre refer to the student score out of 100%, respectively. The normalized change encompassed all possible changes in student performances, including ‘the normalized loss’ situation for single-student loss, i.e. when the post-test score is worse than the pre-test score.

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