## Abstract

Mathematics educators argue that open-ended tasks as a powerful tool for the development of students’ creativity in mathematics, while it is well known that solving open-ended tasks is challenging for students. Recently we argued that not every open-ended task is fully open, as even when a task has a multiplicity of solution outcomes completeness of the set of solution outcomes is possible. To make the distinction between openness and multiplicity and avoid ambiguity related to the term ‘openness’ we use the term ‘Multiple Outcomes Tasks’ (MOTs). In this paper we analyze students’ mathematical performance on two MOTs. We consider the completeness of the set of solution outcomes produced by a student as an indicator of his/her creativity due to the unconventionality of MOTs in regular classes. Our findings suggest that MOTs with continuous-infinite set of solution outcomes are more challenging than MOTs with discrete and finite sets.

Original language | English |
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Title of host publication | Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023 |

Editors | Michal Ayalon, Boris Koichu, Roza Leikin, Laurie Rubel, Michal Tabach |

Publisher | Psychology of Mathematics Education (PME) |

Pages | 171-178 |

Number of pages | 8 |

ISBN (Print) | 9789659311231 |

State | Published - 2023 |

Event | 46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023 - Haifa, Israel Duration: 16 Jul 2022 → 21 Jul 2022 |

### Publication series

Name | Proceedings of the International Group for the Psychology of Mathematics Education |
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Volume | 3 |

ISSN (Print) | 0771-100X |

ISSN (Electronic) | 2790-3648 |

### Conference

Conference | 46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023 |
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Country/Territory | Israel |

City | Haifa |

Period | 16/07/22 → 21/07/22 |

### Bibliographical note

Publisher Copyright:© 2023, Psychology of Mathematics Education (PME). All rights reserved.

## ASJC Scopus subject areas

- Mathematics (miscellaneous)
- Developmental and Educational Psychology
- Experimental and Cognitive Psychology
- Education