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Direct linkKontorovich, Igor' – Educational Studies in Mathematics, 2020
Spurred by Kilpatrick's (1987) "Where do good problems come from?", this study explores problem-posing triggers of experienced problem posers for mathematics competitions. Triggers are conceived as instances of noticing, where an impulse draws a poser's attention and "triggers off" a mathematical re-action, one of the outcomes…
Descriptors: Problem Solving, Mathematics Education, Competition, Mathematics Skills
Kontorovich, Igor' – Educational Studies in Mathematics, 2018
This article is concerned with cognitive aspects of students' struggles in situations in which familiar concepts are reconsidered in a new mathematical domain. Examples of such cross-curricular concepts are divisibility in the domain of integers and in the domain of polynomials, multiplication in the domain of numbers and in the domain of vectors,…
Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematical Formulas, Algebra
