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The role of metacognitive skills in learning to solve problems

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Study II: learn<strong>in</strong>g revisited 95<br />

highest and lowest score with<strong>in</strong> 1.5 <strong>in</strong>terquartile range. <strong>The</strong> black l<strong>in</strong>e<br />

<strong>in</strong>dicates the median. Two outliers (score with<strong>in</strong> 1.5 <strong>to</strong> 3 box length)<br />

and one extreme case (score further away than 3 times the box length<br />

or <strong>in</strong>terquartile range) concern<strong>in</strong>g time spent play<strong>in</strong>g KM Quest existed.<br />

<strong>The</strong>se were deleted from the data. <strong>The</strong> descriptive statistics <strong>of</strong> time-ontask<br />

without these three cases are given <strong>in</strong> table 5.3.<br />

Figure 5.2.<br />

Box plot <strong>of</strong> time-on-task <strong>in</strong> hours for all cases.<br />

Mean SD m<strong>in</strong> max N<br />

Time-on-task 05:08:24 02:19:12 01:48:36 12:12:00 28<br />

Table 5.3. Descriptive statistics for time-on-task measured <strong>in</strong> hours, m<strong>in</strong>utes and<br />

seconds without outliers and extreme cases over <strong>in</strong>dividuals.<br />

One assumption is that time-on-task is positively related <strong>to</strong> learn<strong>in</strong>g<br />

success. This is the case as post-test scores on declarative knowledge<br />

are significantly positively related <strong>to</strong> time-on-task (r = 0.54, p < 0.01,<br />

N = 28 ) and so is procedural knowledge (r = 0.46, p < 0.05, N =<br />

28). Time-on-task expla<strong>in</strong>s between 21% and 29% <strong>of</strong> the variance <strong>of</strong><br />

the post-test scores. In order <strong>to</strong> explore this further, a with<strong>in</strong>-subjects<br />

analysis <strong>of</strong> variance with time-on-task as covariate was carried out. This<br />

analysis can be used when repeated measures <strong>of</strong> participants have been<br />

collected (with<strong>in</strong>-subject variables). S<strong>in</strong>ce no between-subject variables<br />

were <strong>in</strong>cluded, no <strong>in</strong>dependent groups were dist<strong>in</strong>guished. A covariate

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