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## Abstract / Description of output

How do we recognize when an answer is "right"? This is a question that has bedevilled the use of computer systems in mathematics (as opposed to arithmetic) ever since their introduction. A computer system can certainly say that some answers are definitely wrong, in the sense that they are provably not an answer to the question posed. However, an answer can be mathematically right without being pedagogically right. Here we explore the differences and show that, despite the apparent distinction, it is possible to make many of the differences amenable to formal treatment, by asking "under which congruence is the pupil's answer equal to the teacher's?".

Original language | English |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Publisher | SpringerLink |

Pages | 75-89 |

Number of pages | 15 |

Volume | 5625 LNAI |

ISBN (Print) | 3642026133, 9783642026133 |

DOIs | |

Publication status | Published - 2009 |

Event | 16th Symp. on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2009 and 8th Int. Conf. on Mathematical Knowledge Management, MKM 2009. Held as part of the Confs. on Intelligent Computer Mathematics, CICM 2009 - Grand Bend, ON, Canada Duration: 6 Jul 2009 → 12 Jul 2009 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 5625 LNAI |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Conference

Conference | 16th Symp. on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2009 and 8th Int. Conf. on Mathematical Knowledge Management, MKM 2009. Held as part of the Confs. on Intelligent Computer Mathematics, CICM 2009 |
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Country/Territory | Canada |

City | Grand Bend, ON |

Period | 6/07/09 → 12/07/09 |

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