Abstract The major objective of this study was to
determine whether quantitative and qualitative reasoning are
related, and, if so, which kind of instruction promotes their
relation. The study had a pre-test/post-test design with two
parallel groups. Both groups solved quantitative and qualitative
problems, but while the QN group was only taught how to solve
quantitative problems, the QL group was exclusively taught how
to solve qualitative problems. The study used a sample of 68
ninth-grade Gymnasium (high-school) students of average mathematical
abilities. The students solved multiple proportion problems.
The study showed that: (a)~the examined problems were hard for
most students; (b)~even in the QN group, quantitative reasoning
was not improved; (c)~qualitative reasoning was improved in both
treatment groups and the QL group scored better; and (d)~only
the QL treatment related quantitative and qualitative reasoning.
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