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Goldenberg, E. Paul; Carter, Cynthia J. – Education Sciences, 2018
How people see the world, even how they research it, is influenced by beliefs. Some beliefs are conscious and the result of research, or at least amenable to research. Others are largely invisible. They may feel like "common knowledge" (though myth, not knowledge), unrecognized premises that are part of the surrounding culture. As we…
Descriptors: Misconceptions, Mathematics Instruction, Teaching Methods, Learning Processes
Lian, Lim Hooi; Yew, Wun Thiam – Online Submission, 2011
In this paper, researchers discussed the application of the generalization perspective in helping the primary school pupils to develop their pre-algebraic thinking in generalizing repeating pattern. There are two main stages of the generalization perspective had been adapted, namely investigating and generalizing the pattern. Since the Biggs and…
Descriptors: Generalization, Mathematical Concepts, Algebra, Elementary School Students
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McNeil, Nicole M.; Rittle-Johnson, Bethany; Hattikudur, Shanta; Petersen, Lori A. – Journal of Cognition and Development, 2010
This study examined if solving arithmetic problems hinders undergraduates' accuracy on algebra problems. The hypothesis was that solving arithmetic problems would hinder accuracy because it activates an operational view of equations, even in educated adults who have years of experience with algebra. In three experiments, undergraduates (N = 184)…
Descriptors: Equations (Mathematics), Arithmetic, Algebra, Problem Solving