# Cognitive development of proof

Edited book (chapter)

*Proof and proving in mathematics education*. Dordrecht, Germany. Springer. pp. 13-49

Chapter Title | Cognitive development of proof |
---|---|

Book Chapter Category | Edited book (chapter) |

ERA Publisher ID | 3337 |

Book Title | Proof and proving in mathematics education |

Authors | Tall, David (Author), Yevdokimov, Oleksiy (Author), Koichu, Boris (Author), Whiteley, Walter (Author), Kondratieva, Margo (Author) and Cheng, Ying-Hao (Author) |

Editors | Hanna, Gila and de Villiers, Michael |

Volume | 19 |

Page Range | 13-49 |

Series | ICMI Study |

Chapter Number | 2 |

Number of Pages | 37 |

Year | 2012 |

Publisher | Springer |

Place of Publication | Dordrecht, Germany |

ISBN | 9789400721289 |

9789400721296 | |

ISSN | 1387-6872 |

Digital Object Identifier (DOI) | https://doi.org/10.1007/978-94-007-2129-6_2 |

Web Address (URL) | http://www.springerlink.com/content/978-94-007-2128-9/#section=1083791&page=1&locus=0 |

Abstract | In this chapter our aim is to seek how individuals develop ideas of proof appropriate for their level of maturity at the time, and how these ideas change in sophistication over the long term, from the young child to the adult user of mathematics and on to the research mathematician. |

Keywords | mathematics; proof; cognitive development; ICMI 19; mathematical reasoning; mathematics teaching; proving |

ANZSRC Field of Research 2020 | 499999. Other mathematical sciences not elsewhere classified |

390109. Mathematics and numeracy curriculum and pedagogy | |

520401. Cognition | |

Public Notes | © Springer Science+Business Media B.V. 2012. |

Byline Affiliations | University of Warwick, United Kingdom |

Department of Mathematics and Computing | |

Israel Institute of Technology, Israel | |

York University, Canada | |

Memorial University of Newfoundland, Canada | |

University of Taipei, Taiwan | |

Institution of Origin | University of Southern Queensland |

https://research.usq.edu.au/item/q12y1/cognitive-development-of-proof

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