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Direct linkLannin, John K.; Barker, David D.; Townsend, Brian E. – Educational Studies in Mathematics, 2007
In this study we examined how two students viewed the general nature of their proportional reasoning errors as they attempted to generalize numeric situations. Using a teaching experiment methodology we studied the reasoning of two students over 18 instructional sessions. One student, Dallas, appeared to recognize that the proportional reasoning…
Descriptors: Mathematical Concepts, Error Patterns, Mathematics Instruction, Mathematical Logic
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
