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Direct linkVan Dooren, Wim; De Bock, Dirk; Verschaffel, Lieven – Cognition and Instruction, 2010
This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value…
Descriptors: Numbers, Word Problems (Mathematics), Mathematical Logic, Problem Solving
Van Dooren, Wim; De Bock, Dirk; Hessels, An; Janssens, Dirk; Verschaffel, Lieven – Cognition and Instruction, 2005
Previous research (e.g., De Bock, 2002) has shown that--due to the extensive attention paid to proportional reasoning in elementary and secondary mathematics education--many students tend to overrely on proportional methods in diverse domains of mathematics (e.g., geometry, probability). We investigated the development of misapplication of…
Descriptors: Age Differences, Mathematics Education, Arithmetic, Mathematical Concepts
Pozo, Juan Ignacio; Gomez Crespo, Miguel Angel – Cognition and Instruction, 2005
Recent research has revealed the existence of intuitive representations strongly rooted in diverse knowledge domains and the difficulties of modifying those representations through instruction by means of conceptual change processes (Carey, 1995; Gopnik & Meltzoff, 1997; Vosniadou, 1994). According to some interpretations, these representations…
Descriptors: Chemistry, Scientific Concepts, Science Instruction, Concept Formation
