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Degrande, Tine; Van Hoof, Jo; Verschaffel, Lieven; Van Dooren, Wim – ZDM: The International Journal on Mathematics Education, 2018
Previous studies have repeatedly shown that children often incorrectly use an additive model for multiplicative word problems, and a multiplicative model for additive word problems. The present study aimed to investigate which model upper primary school children tend to choose in word problems that are open to "both" ways of reasoning.…
Descriptors: Word Problems (Mathematics), Mathematics Instruction, Mathematical Models, Multiplication
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Weyns, Anke; Van Dooren, Wim; Dewolf, Tinne; Verschaffel, Lieven – Educational Psychology, 2017
We investigated the effect of emphasising the realistic modelling complexity in text or in the accompanying picture on the solution of P-items, in relation to pupils' grade. 290 pupils from the 5th and 6th grade of various elementary schools in Flanders (Belgium) made a paper-and-pencil task with 7 word problems that are problematic from a…
Descriptors: Grade 5, Grade 6, Word Problems (Mathematics), Elementary School Students
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Dewolf, Tinne; Van Dooren, Wim; Ev Cimen, Emre; Verschaffel, Lieven – Journal of Experimental Education, 2014
The present research investigated whether an illustration and/or a warning could help students to (a) build a situational model of the problem situation and (b) solve problematic word problems (P-items) that require realistic thinking more realistically. In 2 similar studies conducted in Turkey and Belgium, the authors presented 10- to 11-year-old…
Descriptors: Foreign Countries, Word Problems (Mathematics), Models, Problem Solving
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Van Dooren, Wim; De Bock, Dirk; Vleugels, Kim; Verschaffel, Lieven – Mathematical Thinking and Learning: An International Journal, 2010
Upper primary school children often routinely apply proportional methods to missing-value problems, even when it is inappropriate. We tested whether this tendency could be weakened if children were not required to produce computational answers to such problems. A total of 75 sixth graders were asked to classify 9 word problems of three types (3…
Descriptors: Mathematical Models, Classification, Word Problems (Mathematics), Grade 6
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Van Dooren, Wim; De Bock, Dirk; Evers, Marleen; Verschaffel, Lieven – Journal for Research in Mathematics Education, 2009
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. The authors investigated whether (besides the missing-value formulation of word problems) the numbers appearing in word problems are part of…
Descriptors: Cues, Word Problems (Mathematics), Primary Education, Problem Solving
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Dewolf, Tinne; Van Dooren, Wim; Verschaffel, Lieven – Learning and Instruction, 2011
We confronted 151, 5th and 6th elementary grade pupils with a quantitative problem in a mathematics or religion class, to examine the influence of the context on pupils' understanding and solution of such problems inside and outside the mathematics class. Pupils were first asked to solve a problem about fair sharing either during a mathematics or…
Descriptors: Mathematical Models, Grade 5, Grade 6, Problem Solving
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De Bock, Dirk; Van Dooren, Wim; Janssens, Dirk; Verschaffel, Lieven – Educational Studies in Mathematics, 2002
Investigates the thinking process underlying students' improper linear reasoning and how this process is affected by their mathematical conceptions, beliefs, and habits. Explores the actual process of problem solving from students falling into the linearity trap and the mechanism behind it. Discusses specific mathematical conceptions, habits, and…
Descriptors: Attitudes, Concept Formation, Mathematical Logic, Mathematical Models