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The role of metacognitive skills in learning to solve problems

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vised by one experimenter <strong>in</strong> order <strong>to</strong> ensure silence. Students did not<br />

have access <strong>to</strong> the game outside the play<strong>in</strong>g sessions. In week 3 a third<br />

and last game session <strong>to</strong>ok place <strong>in</strong> order <strong>to</strong> reach quarter 7 <strong>in</strong> the game.<br />

<strong>The</strong> day after, another test session was scheduled which <strong>in</strong>cluded adm<strong>in</strong>istration<br />

<strong>of</strong> the MSLQ, KMQUESTions, the transfer questions and an<br />

exit-questionnaire. In week 4 a debrief<strong>in</strong>g lecture was organised dur<strong>in</strong>g<br />

which students shared their experiences about the game. Also the grades<br />

(post-test scores) were disclosed.<br />

6.2.5 Statistics and a-priori comparisons<br />

When compar<strong>in</strong>g two or more groups one can use a number <strong>of</strong> statistical<br />

analysis techniques such as an analysis <strong>of</strong> covariance or a General<br />

L<strong>in</strong>ear Model (GLM) for repeated measures (Stevens, 2002).<br />

In an analysis <strong>of</strong> covariance, one measure is used <strong>in</strong> order <strong>to</strong> control for<br />

another measure. For <strong>in</strong>stance, post-test scores <strong>of</strong> learn<strong>in</strong>g can be controlled<br />

for pre-test scores (the covariate), especially when pre-test scores<br />

differ between participants. This can be important when differences between<br />

conditions occur. Us<strong>in</strong>g a randomized design prevents systematic<br />

differences occurr<strong>in</strong>g. In pr<strong>in</strong>ciple, the terms for us<strong>in</strong>g this technique are<br />

met. However, the disadvantage <strong>of</strong> this technique is that learn<strong>in</strong>g effects<br />

<strong>in</strong> terms <strong>of</strong> an <strong>in</strong>crease from pre- <strong>to</strong> post-test are not taken <strong>in</strong><strong>to</strong> account<br />

as such. One can compare the adjusted post-test scores.<br />

<strong>The</strong> alternative technique, GLM (repeated measures) is used <strong>in</strong> this<br />

study. This is an analysis <strong>of</strong> variance <strong>in</strong> which with<strong>in</strong>-subject variables<br />

and between-subject variables are taken <strong>in</strong><strong>to</strong> account. Several with<strong>in</strong>subject<br />

variables exist, namely the pre- and post-test measures <strong>of</strong> learn<strong>in</strong>g;<br />

which are dependent variables. Between-subject variables divide<br />

the students <strong>in</strong><strong>to</strong> groups. In this study there were two between subject<br />

groups: ‘no-model’ and ‘model’ conditions. In order <strong>to</strong> test the hypothesized<br />

<strong>in</strong>teraction effect between condition and metacognition, the<br />

measure <strong>of</strong> metacognition is used as an <strong>in</strong>dependent variable. As such it<br />

needs <strong>to</strong> be transformed <strong>in</strong><strong>to</strong> a dicho<strong>to</strong>mous variable. This reduces the<br />

power <strong>of</strong> the analysis. <strong>The</strong> power is the probability <strong>of</strong> mak<strong>in</strong>g a correct<br />

decision (or reject<strong>in</strong>g the null hypothesis when it is false). <strong>The</strong> ma<strong>in</strong> advantage<br />

<strong>of</strong> this analysis technique is that learn<strong>in</strong>g effects are more likely<br />

<strong>to</strong> be clearly identified.<br />

High and low scorers on each measure <strong>of</strong> metacognition were dist<strong>in</strong>guished<br />

by us<strong>in</strong>g the median <strong>in</strong> order <strong>to</strong> split the group. <strong>The</strong> median is<br />

a robust measure for central tendency that is unaffected by possible outliers<br />

or extreme scores (Stevens, 1994). <strong>The</strong> measures <strong>of</strong> metacognition<br />

are: prospective self-reported use <strong>of</strong> <strong>metacognitive</strong> <strong>skills</strong>, retrospective<br />

self-reported use <strong>of</strong> <strong>metacognitive</strong> <strong>skills</strong> (both measures on a 6-po<strong>in</strong>t

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