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The Linear Imperative: An Inventory and Conceptual Analysis of Students Overuse of Linearity
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Van Dooren, Wim; De Bock, Dirk; Janssens, Dirk; Verschaffel, Lieven – Journal for Research in Mathematics Education, 2008
The overreliance on linear methods in students' reasoning and problem solving has been documented and discussed by several scholars in the field. So far, however, there have been no attempts to assemble the evidence and to analyze it is a systematic way. This article provides an overview and a conceptual analysis of students' tendency to use…
Descriptors: Mathematics Instruction, Mathematical Logic, Problem Solving, Mathematical Concepts
The Impact of Preservice Teachers' Content Knowledge on Their Evaluation of Students' Strategies for Solving Arithmetic and Algebra Word Problems.
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Van Dooren, Wim; Verschaffel, Lieven; Onghena, Patrick – Journal for Research in Mathematics Education, 2002
Investigates the arithmetical and algebraic problem-solving strategies and skills of preservice primary and secondary school teachers in Flanders, Belgium. Compares aspects of preservice teachers' own problem-solving behavior with the way in which they evaluated students' arithmetical and algebraic solutions to problems. Discusses teachers' use of…
Descriptors: Algebra, Arithmetic, Elementary Secondary Education, Foreign Countries
Pre-service Teachers' Preferred Strategies for Solving Arithmetic and Algebra Word Problems.
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Van Dooren, Wim; Verschaffel, Lieven; Onghena, Patrick – Journal of Mathematics Teacher Education, 2003
Investigates the arithmetic and algebra word problem-solving skills and strategies of future primary and secondary school teachers. Describes the evolution of these skills and strategies from the beginning to the end of teacher education. Indicates that, in the education of preservice primary and secondary school teachers, there is need for an…
Descriptors: Algebra, Arithmetic, Elementary Secondary Education, Foreign Countries