Title: Students' overuse of proportionality on missing-value problems: How numbers may change solutions
Authors: Van Dooren, Wim ×
De Bock, Dirk
Evers, Marleen
Verschaffel, Lieven #
Issue Date: Mar-2009
Publisher: National Council of Teachers of Mathematics
Series Title: Journal for Research in Mathematics Education vol:40 issue:2 pages:187-211
Abstract: Previous research has shown that when confronted with missing-value word problems, primary school students strongly tend to use proportional solution approaches, even if these approaches are inappropriate. We investigated whether (besides the missing-value formation of word problems) the numbers appearing in word problems are part of the superficial cues that lead students to (over)use proportionality. A test containing proportional and nonproportional word problems was given to 508 4th, 5th and 6th graders. Numbers in these problems were experimentally manipulated so that the internal and external ratios were either integer or not. For proportional problems, performances decreased as a result of noninteger rations. For nonproportional problems, noninteger ratios led to a decrease in the overuse of proportionality; only in the case of additive nonproportional problems was this decrease accompanied by an increase in correct answers. This effect decreased from 4th grade to 6th grade. Implications of this study for research and practice are discussed.
ISSN: 0021-8251
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Leuven Academic Centre for Professional Development in Education
Education and Training
Instructional Psychology and Technology
Research Centre for Educational Research & Development, Campus Brussels (-)
Faculty of Economics and Business (FEB) - miscellaneous
× corresponding author
# (joint) last author

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