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Palatnik, Alik; Koichu, Boris – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The goal of the study was to reconstruct and dismantle a sequence of events that preceded an insight solution to a challenging problem by a ninth-grade student. A three-week long solution process was analysed by means of the theory of shifts of attention. We argue that concurrent focusing on what, how and why the student attends to when working on…
Descriptors: Grade 9, Mathematics Instruction, Teaching Methods, Problem Solving
Hoch, Maureen; Dreyfus, Tommy – International Group for the Psychology of Mathematics Education, 2005
This paper discusses problems many tenth grade students have when asked to apply a familiar formula in an unfamiliar context: specifically factoring a compound expression. Some of their attempts at solution are presented and discussed in terms of structure sense. (Contains 1 table.) [For complete proceedings, see ED496848.]
Descriptors: Grade 10, Algebra, Mathematical Formulas, Secondary School Mathematics