-
Aberdein, Andrew, and Ian J. Dove (eds.). 2009. Mathematical Argumentation. Foundations of Science 14(1–2). D…
-
(2013)
The argument of mathematics
-
Alcolea Banegas, Jesús. 1998. L’Argumentació en Matemàtiques. In XIIè Congrés Valencià de Filosofia, ed. Enri…
-
(2003)
Arguing to learn: Confronting cognitions in computer-supported collaborative learning env…
-
Andriessen, Jerry. 2009. Argumentation in higher education: Examples of actual practices with argumentation t…
-
Atzmon, Shirley, Rina Hershkowitz, and Baruch B. Schwarz. 2006. The role of teachers in turning claims to arg…
-
Nicolas Balacheff (2010)
Explanation and proof in mathematics: philosophical and educational perspectives
-
Daniel Chazan (1990)
Chazan, Daniel. 1990. Quasi-empirical views of mathematics and mathematics teaching. Interchange 21(1): 14–23.
-
Daniel Chazan (2011)
Chazan, Daniel, and Dara Sandow. 2011. Why did you do that? Reasoning in algebra classrooms. Mathematics Teac…
Mathematics Teacher
-
Edwin Coleman (2009)
Coleman, Edwin. 2009. The surveyability of long proofs. Foundations of Science 14(1–2): 27–43.
-
Douek, Nadia. 2005. Communication in the mathematics classroom. Argumentation and development of mathematical…
-
Douek, Nadia, and Ezio Scali. 2000. About argumentation and conceptualisation. In Proceedings of PME-XXIV, Vo…
-
Ian J Dove (2009)
Dove, Ian J. 2009. Toward a theory of mathematical argument. Foundations of Science 14(1–2): 137–152.
-
Raymond Duval (1991)
Duval, Raymond. 1991. Structure du raisonnement déductif et apprentissage de la démonstration. Educational St…
Educational Studies in Mathematics
↗
-
Eemeren, Frans H. van, and Peter Houtlosser. 2005. Theoretical construction and argumentative reality: An ana…
-
Don Fallis (2003)
Fallis, Don. 2003. Intentional gaps in mathematical proofs. Synthese 143: 45–69.
-
José Ferreirós (2010)
EPSA philosophical issues in science
-
Dov Gabbay (2005)
Handbook of philosophical logic
-
Gila Hanna (2000)
Hanna, Gila. 2000. Proof, explanation and exploration: An overview. Educational Studies in Mathematics 44: 5–23.
Educational Studies in Mathematics
↗
-
Lulu Healy (2000)
Healy, Lulu, and Celia Hoyles. 2000. A study of proof conceptions in algebra. Journal for Research in Mathema…
Journal for Research in Mathematics Education
↗
-
Hitchcock (2002)
Argumentation
-
Ralph H Johnson (2000)
Manifest rationality. A pragmatic theory of argument
-
Ralph H Johnson (2005)
The uses of argument: Proceedings of a conference at McMaster University, 18–21 May 2005
-
Manfred Kerber (2007)
Kerber, Manfred, and Martin Pollet. 2007. Informal and formal representations in mathematics. Studies in Logi…
Studies in Logic, Grammar and Rhetoric
-
Krabbe (2008)
Argumentation
-
Deanna Kuhn (1992)
Kuhn, Deanna. 1992. Thinking as argument. Harvard Educational Review 62(2): 155–178.
Harvard Educational Review
↗
-
Tone Kvernbekk (2012)
Kvernbekk, Tone. 2012. Argumentation in theory and practice: Gap or equilibrium? Informal Logic 32(3): 288–305.
-
Imre Lakatos (1976)
Proofs and refutations: The logic of mathematical discovery
-
Brendan Larvor (2013)
The argument of mathematics
-
(2008)
The philosophy of mathematical practice
-
Mancosu, Paolo. 2011. Explanation in Mathematics. In The stanford encyclopedia of philosophy (Summer 2011 Edi…
-
Edwin A Maxwell (1959)
Fallacies in mathematics
-
(2009)
Argumentation and education: Theoretical foundations and practices
-
Alison Pease (2012)
Symposium on mathematical practice and cognition II: A symposium at the AISB/IACAP World …
-
Robert C Pinto (2001)
Argument, inference and dialectic
-
George Pólya (1945)
How to solve it
-
George Pólya (1954)
Mathematics and plausible reasoning
-
Prusak, Naomi. 2007. The analysis of dialogues of dyads of pre-service teachers operating in an activity desi…
-
Schwarz, Baruch B. 2009. Argumentation and learning. In Argumentation and education: Theoretical foundations …
-
Baruch B Schwarz (2010)
Educational dialogues: Understanding and promoting productive interaction
-
Tao, Terry. 2011. The Mini-polymath3 Project: 2011 IMO. http://polymathprojects.org/2011/07/19/minipolymath3-…
-
William P Thurston (1994)
Thurston, William P. 1994. On proof and progress in mathematics. Bulletin of the American Mathematical Societ…
Bulletin of the American Mathematical Society
↗
-
Christopher W Tindale (2002)
Tindale, Christopher W. 2002. A concept divided: Ralph Johnson’s definition of argument. Argumentation 16: 209–309.
Argumentation
-
Stephen E Toulmin (1958)
The uses of argument
-
Stephen Toulmin (1979)
An introduction to reasoning
-
Van Bendegem, Jean Paul, and Bart Van Kerkhove. 2009. Mathematical arguments in context. Foundations of Scien…
-
Frans H Eemeren van (1996)
Fundamentals of argumentation theory. A handbook of historical backgrounds and contempora…
-
Vega Reñón, Luis. 1999. Hacer ver, hacer saber (El rigor informal de las pruebas matemáticas clásicas). In X …
-
Douglas N Walton (2008)
Argumentation schemes
-
Douglas N Walton (1995)
Commitment in dialogue: Basic concepts of interpersonal reasoning