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Stephens, Max; Day, Lorraine; Horne, Marj – Mathematics Education Research Group of Australasia, 2022
This paper will elaborate five levels of algebraic generalisation based on an analysis of students' responses to Reframing Mathematical Futures II (RMFII) tasks designed to assess algebraic reasoning. The five levels of algebraic generalisation will be elaborated and illustrated using selected tasks from the RMFII study. The five levels will be…
Descriptors: Algebra, Mathematics Skills, Mathematics Instruction, Generalization
Marcovitch, Stuart; Jacques, Sophie; Boseovski, Janet J.; Zelazo, Philip David – Mind, Brain, and Education, 2008
In this article, we suggest that self-reflection and self-control--studied under the rubric of "executive function" (EF)--have the potential to transform the way in which learning occurs, allowing for the relatively rapid emergence of new behaviors. We describe 2 lines of research that indicate that reflecting on a task and its affordances helps…
Descriptors: Prior Learning, Recognition (Psychology), Item Analysis, Metacognition