# Higher order reasoning produced in proof construction: how well do secondary school students explain and write mathematical proofs?

Paper

*ICMI Study 19 Working Conference: Proof and Proving in Mathematics Education.*Taipei, Taiwan 10 - 15 May 2009 Taipei.

Paper/Presentation Title | Higher order reasoning produced in proof construction: how well do secondary school students explain and write mathematical proofs? |
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Presentation Type | Paper |

Authors | |

Author | Yevdokimov, Oleksiy |

Editors | Lin, Fou-Lai, Hsieh, Feng-Jui, Hanna, Gila and de Villiers, Michael |

Journal or Proceedings Title | Proceedings of the ICMI Study 19 Conference: Proof and Proving in Mathematics Education |

Journal Citation | 2, pp. 280-285 |

Number of Pages | 6 |

Year | 2009 |

Place of Publication | Taipei |

ISBN | 9789860182101 |

Web Address (URL) of Paper | http://140.122.140.1/~icmi19/files/Volume_2.pdf |

Conference/Event | ICMI Study 19 Working Conference: Proof and Proving in Mathematics Education |

Event Details | ICMI Study 19 Working Conference: Proof and Proving in Mathematics Education Parent International Commission on Mathematical Instruction Event Date 10 to end of 15 May 2009Event Location Taipei, Taiwan |

Abstract | The culture of mathematical explanations and writings based on conceptual understanding in proof construction is on the focus of the paper. We explore students’ attempts to explain construction of mathematical proofs after reading them and write mathematical proofs after working out their own constructions. Two examples of proofs, by induction and by contradiction, are discussed in detail to highlight students’ difficulties in proving and possible ways for their resolving. |

Keywords | mathematical explanations, proof construction, conceptual understanding |

ANZSRC Field of Research 2020 | 390109. Mathematics and numeracy curriculum and pedagogy |

Public Notes | Author retains copyright. |

Byline Affiliations | Department of Mathematics and Computing |

https://research.usq.edu.au/item/9z069/higher-order-reasoning-produced-in-proof-construction-how-well-do-secondary-school-students-explain-and-write-mathematical-proofs

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