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De Bock, Dirk; Neyens, Deborah; Van Dooren, Wim – International Journal of Science and Mathematics Education, 2017
Recent research on the phenomenon of improper proportional reasoning focused on students' understanding of elementary functions and their external representations. So far, the role of basic function properties in students' concept images of functions remained unclear. We add to this research line by investigating how accurate students are in…
Descriptors: High School Students, Grade 10, Secondary School Mathematics, Mathematics Skills
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Van Dooren, Wim; De Bock, Dirk; Depaepe, Fien; Janssens, Dirk; Verschaffel, Lieven – Educational Studies in Mathematics, 2003
Previous research has shown that--due to the extensive attention spent to proportional reasoning in mathematics education--many students have a strong tendency to apply linear or proportional models anywhere, even in situations where they are not applicable. This phenomenon is sometimes referred to as the "illusion of linearity". For example, in…
Descriptors: Misconceptions, Grade 10, Grade 12, Probability