ERIC Number: ED606583
Record Type: Non-Journal
Publication Date: 2018
Pages: 9
Abstractor: As Provided
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Perspectives on the Nature of Mathematics
Norton, Anderson
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (40th, Greenville, SC, Nov 15-18, 2018)
As mathematics educators, we teach and research a particular form of knowledge. However, in reacting to Platonic views of mathematics, we often overlook its unique characteristics. This paper presents a Kantian and Piagetian perspective that defines mathematics as a product of psychology. This perspective, based in human activity, unites mathematical objects, such as shape and number, while explaining what makes mathematics unique. In so doing, it not only privileges mathematics as a powerful form of knowledge but also empowers students to own its objects as their own constructions. Examples and interdisciplinary research findings (e.g., neuroscience) are provided to elucidate and support the perspective. [For the complete proceedings, see ED606531.]
Descriptors: Mathematics, Definitions, Mathematics Education, Piagetian Theory, Philosophy, Psychology, Mathematical Concepts, Epistemology, Neurosciences, Constructivism (Learning)
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Descriptive
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Language: English
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