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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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Lem, Stephanie; Onghena, Patrick; Verschaffel, Lieven; Van Dooren, Wim – European Journal of Psychology of Education, 2017
Graphicacy is an important skill in today's society; however, the interpretation of graphs proofs to be more difficult than it might seem. In this study, we focus on one specific misinterpretation, the area misinterpretation of box plots, which is caused by incorrect heuristic processing of salient features of the box plot. In this study, we tried…
Descriptors: Graphs, Difficulty Level, Control Groups, Scores
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Lem, Stephanie; Onghana, Patrick; Verschaffel, Lieven; Van Dooren, Wim – Statistics Education Research Journal, 2013
Data distributions can be represented using different external representations, such as histograms and boxplots. Although the role of external representations has been extensively studied in mathematics, this is less the case in statistics. This study helps to fill this gap by systematically varying the representation that accompanies a task…
Descriptors: Foreign Countries, Graphs, Statistical Distributions, College Freshmen
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Degrande, Tine; Verschaffel, Lieven; Van Dooren, Wim – Mathematical Thinking and Learning: An International Journal, 2017
In contrast to previous studies on Spontaneous Focusing on Quantitative Relations (SFOR), the present study investigated not only the "extent" to which children focus on (multiplicative) quantitative relations, but also the "nature" of children's quantitative focus (i.e., the types of quantitative relations that children focus…
Descriptors: Foreign Countries, Grade 2, Grade 4, Grade 6
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Heyvaert, Mieke; Deleye, Maarten; Saenen, Lore; Van Dooren, Wim; Onghena, Patrick – International Journal of Research & Method in Education, 2018
When studying a complex research phenomenon, a mixed methods design allows to answer a broader set of research questions and to tap into different aspects of this phenomenon, compared to a monomethod design. This paper reports on how a sequential equal status design (QUAN ? QUAL) was used to examine students' reasoning processes when solving…
Descriptors: High School Students, Problem Solving, Probability, Mixed Methods Research
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Van Dooren, Wim; De Bock, Dirk; Depaepe, Fien; Janssens, Dirk; Verschaffel, Lieven – Educational Studies in Mathematics, 2003
Previous research has shown that--due to the extensive attention spent to proportional reasoning in mathematics education--many students have a strong tendency to apply linear or proportional models anywhere, even in situations where they are not applicable. This phenomenon is sometimes referred to as the "illusion of linearity". For example, in…
Descriptors: Misconceptions, Grade 10, Grade 12, Probability