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concept of summer learning loss. The exception to these findings was in language courses where a<br />

statistically significant detrimental effect was found for the longer gap.<br />

Our study explores whether students exhibit wisdom in the design of their online study plans to<br />

minimise knowledge decay and support academic success. Any evidence would inform potential<br />

guidance to students<br />

and input to policy regarding structured enrolment in sequential online courses.<br />

Methodology<br />

Data were available for two foundation level mathematics courses. These are sequential courses at<br />

the same year level with one (Course 1) as a prerequisite of the second (Course 2). Since 2012,<br />

Course 1 has been offered online 11 times and Course 2, 10 times. Course topics are dissimilar – the<br />

first course in the sequence presents basic algebra and trigonometry, the second introductory<br />

calculus - but Course 2 relies on a familiarity with the mathematical language and methods developed<br />

in Course 1. We define the gap as the time in between the teaching periods of the sequential<br />

courses. The timing of offerings and duration of teaching produces gaps which are integer multiples of<br />

3 months. Thus a student taking the follow-on course immediately after its prerequisite ends, will<br />

experience a gap of 0 months, a student following on one study period later experiences a gap of 3<br />

months. Rather than have a negative gap value, we denote the gap when students take both courses<br />

simultaneously as concurrent (abbreviated as cc).<br />

Students who achieved a pass in the first course and had attempted the second (attempting at least<br />

one assessment) were identified. Students’ final marks for Course 2 were mapped against their study<br />

gaps, with box and whisker graphs used to display the distribution of the data (Spitzer, Wildenhain,<br />

Rappsilber, & Tyers, 2014). Age and final mark in Course 2 were plotted as a series of scattergrams<br />

to represent the gaps between Course 1 and Course 2.<br />

Results<br />

The observed enrolment pattern amongst the 305 students comprising our data set is shown in Table<br />

1. Most students took Course 2 at its next available delivery, more than 90% did so within 6 months.<br />

Table 1: Proportion of students with observed study gap (cc represents concurrent<br />

enrolments)<br />

Gap (months) cc 0 3 6 9 12 Othe<br />

r<br />

Proportion<br />

(%)<br />

3.3 61.6 21.0 7.9 2.6 2.3 1.3<br />

The whiskers in the boxplots of Figure 1 represent the highest and lowest marks for Course 2 for a<br />

given gap, the dark horizontal line is the median and a rectangle shows where the central 50% of data<br />

lie. We have added a cross to show the mean value and the number of data points in each category is<br />

shown at the base of the boxplot.<br />

583<br />

CP:236

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