The second and third research questions were whether expert
mathematicians showa natural number bias in fraction comparison
problems that are special cases (research question 2) or that are not
special cases (research question 3). Based on the findings reported
in the literature, we expected that experts are able to solve all the
problems on a very high level of accuracy.3 However, we anticipated
that they still show “traces” of a bias in terms of longer
response times for incongruent than for congruent items, but only
on items for which they use componential representations of the
involved fractions (i.e., for CC-items but not WCC-items, see Hypotheses
1b and 1c). Accordingly, we expected significantly longer
response times for incongruent CC-items than for congruent CCitems
(Hypothesis 2), but no significant differences between the
three types of WCC-items (Hypothesis 3).
The second and third research questions were whether expertmathematicians showa natural number bias in fraction comparisonproblems that are special cases (research question 2) or that are notspecial cases (research question 3). Based on the findings reportedin the literature, we expected that experts are able to solve all theproblems on a very high level of accuracy.3 However, we anticipatedthat they still show “traces” of a bias in terms of longerresponse times for incongruent than for congruent items, but onlyon items for which they use componential representations of theinvolved fractions (i.e., for CC-items but not WCC-items, see Hypotheses1b and 1c). Accordingly, we expected significantly longerresponse times for incongruent CC-items than for congruent CCitems(Hypothesis 2), but no significant differences between thethree types of WCC-items (Hypothesis 3).
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