283
Views
7
CrossRef citations to date
0
Altmetric
Research papers

How persuaded are you? A typology of responses

&
Pages 119-133 | Published online: 13 Aug 2008

References

  • Balacheff , N. 1987 . Processus de preuves et situations de validation . Educational Studies in Mathematics , 18 : 147 – 76 .
  • Cabassut , R. 2005 . Argumentation and proof in examples taken from French and German textbooks . In Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education . Sant Feliu de Guixols Spain : ERME .
  • Coe , R. and Ruthven , K. 1994 . Proof practices and constructs of advanced mathematical students . British Educational Research Journal , 20 : 41 – 53 .
  • Cooper , B. and Harries , T. 2002 . Children's responses to contrasting ‘realistic’ mathematics problems: Just how realistic are children ready to be? . Educational Studies in Mathematics , 49 : 1 – 23 .
  • Evens , H. and Houssart , J. 2004 . Categorizing pupils’ written answers to a mathematics test question: ‘I know but I can't explain’ . Educational Research , 46 : 269 – 82 .
  • Gowers , W.T. 2006 . “ Does mathematics need a philosophy? ” . In 18 unconventional essays on the nature of mathematics , Edited by: Hersh , R. 182 – 200 . New York : Springer .
  • Harel , G. and Sowder , L. 1998 . “ Students’ proof schemes: Results from exploratory studies ” . In Research in collegiate mathematics III , Edited by: Schoenfeld , A. H. , Kaput , J. and Dubinsky , E. 234 – 82 . Providence, RI : American Mathematical Society .
  • Healy , L. and Hoyles , C. 2000 . A study of proof conceptions in algebra . Journal for Research in Mathematics Education , 31 : 396 – 428 .
  • Hoyles , C. and Küchemann , D. 2002 . Students’ understanding of logical implication . Educational Studies in Mathematics , 51 : 193 – 223 .
  • Inglis , M. , and J.P. Mejia-Ramos . 2006 . Is it ever appropriate to judge an argument by its author? In Proceedings of the British Society for Research into Learning Mathematics D. Hewitt , Vol. 26, no. 2 , 43 – 8 . University of Bristol : BSRLM .
  • Inglis , M. , Mejia-Ramos , J.P. and Simpson , A. 2007 . Modelling mathematical argumentation: The importance of qualification . Educational Studies in Mathematics , 66 : 3 – 21 .
  • Krantz , J.H. and Dalal , R. 2000 . “ Validity of web-based psychological research ” . In Psychological experiments on the internet , Edited by: Birnbaum , M.H. 35 – 60 . San Diego : Academic Press .
  • Krummheuer , G. 1995 . “ The ethnology of argumentation ” . In The emergence of mathematical meaning: Interaction in classroom cultures , Edited by: Cobb , P. and Bauersfeld , H. 229 – 69 . Hillsdale : Erlbaum .
  • Krummheuer , G. 2007 . Argumentation and participation in the primary mathematics classroom: Two episodes and related theoretical abductions . Journal of Mathematical Behavior , 26 : 60 – 82 .
  • Mason , J. , Burton , L. and Stacey , K. 1982 . Thinking mathematically , London : Addison-Wesley .
  • Mejia-Ramos , J.P. and Tall , D. 2005 . “ Personal and public aspects of formal proof: A theory and a single-case study ” . In Proceedings of the Sixth British Congress of Mathematics Education , Edited by: Hewitt , D. and Noyes , A. 97 – 104 . Coventry : BSRLM .
  • Pedemonte , B. 2005 . Quelques outils pour l'analyse cognitive du rapport entre argumentation et démonstration . Recherches en Didactique des Mathématiques , 25 : 313 – 48 .
  • Raman , M. 2002 . Proof and justification in collegiate calculus . PhD diss., University of California, Berkeley .
  • Raman , M. 2003 . Key ideas: What are they and how can they help us understand how people view proof? . Educational Studies in Mathematics , 52 : 319 – 25 .
  • Rodd , M.M. 2000 . On mathematical warrants: Proof does not always warrant, and a warrant may be other than a proof . Mathematical Thinking and Learning , 2 : 221 – 44 .
  • Segal , J. 2000 . Learning about mathematical proof: Conviction and validity . Journal of Mathematical Behavior , 18 : 191 – 210 .
  • Selden , A. and Selden , J. 2003 . Validations of proofs considered as texts: Can undergraduates tell whether an argument proves a theorem? . Journal for Research in Mathematics Education , 34 : 4 – 36 .
  • Stanovich , K.E. and West , R.F. 2006 . Natural myside bias is independent of cognitive ability . Thinking and Reasoning , 13 : 225 – 47 .
  • Stephan , M. and Rasmussen , C. 2002 . Classroom mathematical practices in differential equations . Journal of Mathematical Behavior , 21 : 459 – 90 .
  • Toulmin , S. 1958 . The uses of argument , Cambridge : CUP .
  • Weber , K. Forthcoming . How do mathematicians determine if an argument is a valid proof? Journal for Research in Mathematics Education .
  • Weber , K. and Alcock , L. 2005 . Using warranted implications to understand and validate proofs . For the Learning of Mathematics , 25 ( 1 ) : 34 – 8 .
  • Yackel , E. 2001 . “ Explanation, justification and argumentation in mathematics classrooms ” . In Proceedings of the 25th International Conference on the Psychology of Mathematics Education , Edited by: van den Heuvel-Panhuizen , M. Vol. 1 , 9 – 23 . Utrecht : IGPME .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.