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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
Fernandez, Ceneida; Llinares, Salvador; Van Dooren, Wim; De Bock, Dirk; Verschaffel, Lieven – European Journal of Psychology of Education, 2012
This study investigates the development of proportional and additive methods along primary and secondary school. In particular, it simultaneously investigates the use of additive methods in proportional word problems and the use of proportional methods in additive word problems. We have also studied the role played by integer and non-integer…
Descriptors: Numbers, Word Problems (Mathematics), Secondary School Students, Role
Luwel, Koen; Verschaffel, Lieven – European Journal of Psychology of Education, 2008
Groups of mathematically strong and weak second-, fourth- and sixth-graders were individually confronted with numerosities smaller and larger than 100 embedded in one-, two- or three-dimensional realistic contexts. While one third of these contexts were totally unstructured (e.g., an irregular piece of land jumbled up with 72 cars), another third…
Descriptors: Elementary School Students, Problem Solving, Computation, Number Concepts
Peer reviewed
Verschaffel, Lieven; De Corte, Erik; Lamote, Christian; Dherdt, Nele – European Journal of Psychology of Education, 1998
Investigates the development of an adaptive strategy for the estimation of numerosity from the theoretical perspective of strategic change. Hypothesizes that there will be a developmental difference in the adaptive use of estimating strategies with age and that this adaptation will produce better estimation. Shows support for both hypotheses. (DSK)
Descriptors: Age Differences, Estimation (Mathematics), Foreign Countries, Numeracy