# Making generalisations in geometry: students' views on the process: a case study

Paper

*2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition.*Morelia, Mexico 17 - 21 Jul 2008 Morelia, Mexico.

Paper/Presentation Title | Making generalisations in geometry: students' views on the process: a case study |
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Presentation Type | Paper |

Authors | |

Author | Yevdokimov, Oleksiy |

Editors | Figueras, Olimpia, Cortina, Jose Luis, Alatorre, Silvia, Rojano, Teresa and Sepulveda, Armando |

Journal or Proceedings Title | Proceedings of the 2008 Annual Conference for the Psychology of Mathematics Education (PME 32) |

ERA Conference ID | 50226 |

Journal Citation | 4, pp. 441-448 |

Number of Pages | 8 |

Year | 2008 |

Place of Publication | Morelia, Mexico |

ISBN | 9789689020066 |

9786079501303 | |

Web Address (URL) of Paper | http://core.kmi.open.ac.uk/download/pdf/11038380.pdf |

Conference/Event | 2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition |

Annual Conference of the International Group for the Psychology of Mathematics Education | |

Event Details | 2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition Event Date 17 to end of 21 Jul 2008Event Location Morelia, Mexico |

Event Details | Annual Conference of the International Group for the Psychology of Mathematics Education PME |

Abstract | The paper presents results of the research focused on studying students' abilities to make generalisations in geometry. Students' activities in a classroom have been analysed through the evaluation of their inquiry work on different tasks that required deductive reasoning and non-routine approach to carry out possible generalisations. Cognitive processes regarding to different geometrical structures are described and analysed in detail. The special emphasis has been given to students' obstacles while making generalisations. |

Keywords | geometry; generalisations; inquiry activities |

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

490402. Algebraic and differential geometry | |

461199. Machine learning not elsewhere classified | |

Public Notes | This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source. |

Byline Affiliations | Department of Mathematics and Computing |

https://research.usq.edu.au/item/9z05z/making-generalisations-in-geometry-students-views-on-the-process-a-case-study

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