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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

Fischbein, Efraim; Schnarch, Ditza – Journal for Research in Mathematics Education, 1997
Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)
Descriptors: Age Differences, Cognitive Structures, Concept Formation, Elementary Secondary Education

Hansen, Randall S.; And Others – Journal for Research in Mathematics Education, 1985
Forty-eight students with no previous exposure to probability or statistics read one of three textbooks that varied in emphasis placed on rote and conceptual learning of basic elementary probability concepts. Findings, among others, show students who read textbooks emphasizing conceptual learning tended to be less sensitive to surface features.…
Descriptors: College Mathematics, Educational Research, Higher Education, Mathematics Achievement