Title: Proportional word problem solving through a modeling lens: A half-empty or half-full glass?
Authors: Degrande, Tine
Verschaffel, Lieven
Van Dooren, Wim
Series Editors: Cai, Jinfa
Middleton, James
Issue Date: 2016
Publisher: Springer International Publishing
Series Title: Research in mathematics education
Host Document: Posing and solving mathematical problems: Advances and new perspectives pages:209-229
Abstract: We discuss two studies related to upper elementary school pupils’ use of additive and proportional strategies to solve word problems, in order to shed a light on pupils’ modelling disposition (i.e. both their abilities and their inclination) in the context of proportional reasoning. In Study 1, we used word problems that were clearly additive or proportional, while in Study 2 the problems were formulated with Greek symbols so that pupils had no access to the actual contents of the problems. Both studies yielded very similar results. 3rd graders initially are strongly inclined to reason additively to missing-value word problems (whether they are additive, proportional, or incomprehensible) and 6th graders are strongly inclined to reason proportionally. In the intermediate stage pupils heavily rely on the numbers appearing in the word problems in order to decide to apply a proportional or additive
method. Even though the results were very similar, different nature of the tasks in both studies reveals a different aspect of pupils’ modelling disposition. The first
study showed how pupils largely neglect the actual model underlying a word problem, and consistently apply the same model across situations. The second study indicates
that already at a young age, a substantial number of leaners is inclined to give answers based on quantitative analogical relations.
ISBN: 978-3-319-28021-9
Publication status: published
KU Leuven publication type: IHb
Appears in Collections:Instructional Psychology and Technology

Files in This Item:

There are no files associated with this item.

Request a copy


All items in Lirias are protected by copyright, with all rights reserved.