Peirce’s Philosophy of Mathematical Education: Fostering Reasoning Abilities for Mathematical Inquiry
Studies in Philosophy and Education 29 (5):421-439 (2010)
AbstractI articulate Charles S. Peirce’s philosophy of mathematical education as related to his conception of mathematics, the nature of its method of inquiry, and especially, the reasoning abilities required for mathematical inquiry. The main thesis is that Peirce’s philosophy of mathematical education primarily aims at fostering the development of the students’ semeiotic abilities of imagination, concentration, and generalization required for conducting mathematical inquiry by way of experimentation upon diagrams. This involves an emphasis on the relation between theory and practice and between mathematics and other fields including the arts and sciences. For achieving its goals, the article is divided in three sections. First, I expound Peirce’s philosophical account of mathematical reasoning. Second, I illustrate this account by way of a geometrical example, placing special emphasis on its relation to mathematical education. Finally, I put forth some Peircean philosophical principles for mathematical education.
Similar books and articles
Peirce on the Role of Poietic Creation in Mathematical Reasoning.Daniel G. Campos - 2007 - Transactions of the Charles S. Peirce Society 43 (3):470 - 489.
Mathematics Education and Neurosciences: Towards Interdisciplinary Insights Into the Development of Young Children's Mathematical Abilities.Fenna Van Nes - 2011 - Educational Philosophy and Theory 43 (1):75-80.
Mathematical Reasoning: Analogies, Metaphors, and Images.Lyn D. English (ed.) - 1997 - L. Erlbaum Associates.
Topologies and Sheaves Appeared as Syntax and Semantics of Natural Language.Oleg Prosorov - 2012 - Steklov Institute of Mathematics.
What Perception is Doing, and What It is Not Doing, in Mathematical Reasoning.Dennis Lomas - 2002 - British Journal for the Philosophy of Science 53 (2):205-223.
"Merely a Veil Over the Living Thought": Mathematics and Logic in Peirce's Forgotten Spinoza Review.Shannon Dea - 2006 - Transactions of the Charles S. Peirce Society 42 (4):501-517.
The Genesis of the Peircean Continuum.Matthew E. Moore - 2007 - Transactions of the Charles S. Peirce Society 43 (3):425 - 469.
Intuition and Visualization in Mathematical Problem Solving.Valeria Giardino - 2010 - Topoi 29 (1):29-39.
The Tinctures and Implicit Quantification Over Worlds.Jay Zeman - 1997 - In Paul Forster & Jacqueline Brunning (eds.), The Rule of Reason: The Philosophy of C.S. Peirce. University of Toronto Press. pp. 96-119.
From Peirce to Skolem: A Neglected Chapter in the History of Logic.Geraldine Brady - 2000 - North-Holland/Elsevier Science Bv.
The Usefulness of Mathematical Learning Explained and Demonstrated: Being Mathematical Lectures Read in the Publick Schools at the University of Cambridge.Isaac Barrow - 1734 - London: Cass.
Rationale of the Mathematical Joke.Andrew Aberdein - 2010 - In Alison Pease, Markus Guhe & Alan Smaill (eds.), Proceedings of AISB 2010 Symposium on Mathematical Practice and Cognition. AISB. pp. 1-6.
Mathematical Engineering and Mathematical Change.Jean‐Pierre Marquis - 1999 - International Studies in the Philosophy of Science 13 (3):245 – 259.
Towards a Theory of Mathematical Argument.Ian J. Dove - 2009 - Foundations of Science 14 (1-2):136-152.
Added to PP
Historical graph of downloads
Citations of this work
No citations found.
References found in this work
Collected Papers of Charles Sanders Peirce: Science and Philosophy and Reviews, Correspondence, and Bibliography.Charles Sanders Peirce - 1931 - Cambridge: Harvard University Press.
The Essential Peirce: Selected Philosophical Writings Vol. 1.Charles Peirce, Christian S. & Nathan House J. W. Kloesel - 1992 - Bloomington: Indiana University Press.