Key ideas : What are they and how can they help us understand people view proof?

Abstract

This paper examines the views of proof held by university level mathematics students and teachers. A framework is developed for characterizing people's views of proof, based on a distinction between public and private aspects of proof and the key ideas which link these two domains.

Categories

Keywords

Reprint years

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,752

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

My notes

Similar books and articles

An Introduction to Mathematical Reasoning: Lectures on Numbers, Sets, and Functions.Peter J. Eccles - 1997 - Cambridge University Press.
First‐year secondary school mathematics students' conceptions of mathematical proofs and proving.Savas Basturk - 2010 - Educational Studies 36 (3):283-298.
An introduction to proof through real analysis.Daniel J. Madden - 2017 - Hoboken, NJ: Wiley. Edited by Jason A. Aubrey.
Wittgenstein on Rule-Following and the Foundations of Mathematics.David Dolby & Schroeder Severin - 2016 - London: Routledge.
Proof-theoretic pluralism.Filippo Ferrari & Eugenio Orlandelli - 2019 - Synthese 198 (Suppl 20):4879-4903.
Plans and planning in mathematical proofs.Yacin Hamami & Rebecca Lea Morris - 2020 - Review of Symbolic Logic 14 (4):1030-1065.
Teaching proving by coordinating aspects of proofs with students' abilities.Annie Selden & John Selden - 2009 - In Despina A. Stylianou, Maria L. Blanton & Eric J. Knuth (eds.), Teaching and learning proof across the grades: a K-16 perspective. New York: Routledge. pp. 339--354.
A Note on the Relation Between Formal and Informal Proof.Jörgen Sjögren - 2010 - Acta Analytica 25 (4):447-458.
Reflections on Proof Complexity and Counting Principles.Noah Fleming & Toniann Pitassi - 2021 - In Ivo Düntsch & Edwin Mares (eds.), Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs. Springer Verlag. pp. 497-520.
What is the Meaning of Proofs?: A Fregean Distinction in Proof-Theoretic Semantics.Sara Ayhan - 2020 - Journal of Philosophical Logic 50 (3):571-591.

Analytics

Added to PP
2015-01-30

Downloads
28 (#796,220)

6 months
7 (#698,214)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Mathematical explanation.Mark Steiner - 1978 - Philosophical Studies 34 (2):135 - 151.

Add more references