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Direct linkDegrande, 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
Degrande, Tine; Verschaffel, Lieven; Van Dooren, Wim – European Journal of Psychology of Education, 2018
While previous studies mainly focused on children's additive and multiplicative reasoning abilities, we studied third to sixth graders' "preference" for additive or multiplicative relations. This was investigated by means of schematic problems that were "open" to both types of relations, namely arrow schemes containing three…
Descriptors: Addition, Multiplication, Mathematical Logic, Student Attitudes
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
Download full textDegrande, Tine; Verschaffel, Lieven; Van Dooren, Wim – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
Both additive and proportional reasoning are types of quantitative analogical (QA) reasoning. We investigated the development and nature of primary school children's QA reasoning by offering two missing-value word problems to 3rd to 6th graders. In one problem, ratios between given numbers were integer, in the other ratios were non-integer. These…
Descriptors: Word Problems (Mathematics), Logical Thinking, Mathematical Logic, Elementary School Students
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
Peer reviewedVerschaffel, Lieven; De Corte, Erik; Vierstraete, Heidi – Journal for Research in Mathematics Education, 1999
Examines the scope and nature of upper elementary school pupils' difficulties with modeling and solving nonroutine additive word problems. Concludes that many errors result from the superficial, stereotyped approach of adding or subtracting two given numbers without considering the appropriateness of that action in relation to the problem context.…
Descriptors: Addition, Elementary School Mathematics, Grade 5, Grade 6
