ERIC Number: EJ1113140
Record Type: Journal
Publication Date: 2016-Sep
Abstractor: As Provided
Developing Mathematical Practices through Reflection Cycles
Reinholz, Daniel L.
Mathematics Education Research Journal, v28 n3 p441-455 Sep 2016
This paper focuses on reflection in learning mathematical practices. While there is a long history of research on reflection in mathematics, it has focused primarily on the development of conceptual understanding. Building on notion of learning as participation in social practices, this paper broadens the theory of reflection in mathematics learning. To do so, it introduces the concept of reflection cycles. Each cycle begins with "prospective" reflection, which guides one's actions during an experience, and ends with "retrospective" reflection, which consolidates the experience and informs the next reflection cycle. Using reflection cycles as an organizing framework, this paper synthesizes the literature on reflective practices at a variety of levels: (1) metacognition, (2) self-assessment, (3) noticing, and (4) lifelong learning. These practices represent a spectrum of reflection, ranging from the micro level (1) to macro level (4).
Descriptors: Reflection, Mathematics, Learning, Metacognition, Self Evaluation (Individuals), Lifelong Learning, Learning Theories
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Publication Type: Journal Articles; Information Analyses; Reports - Research
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