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Direct linkDegrande, 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
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
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
