# Investigating young students’ multiplicative thinking : The 12 little ducks problem

Journal article

Cheeseman, Jill, Downton, Ann, Roche, Anne and Ferguson, Sarah. (2020). Investigating young students’ multiplicative thinking : The 12 little ducks problem.

*The Journal of Mathematical Behavior.*60, p. 100817. https://doi.org/10.1016/j.jmathb.2020.100817

Authors | Cheeseman, Jill, Downton, Ann, Roche, Anne and Ferguson, Sarah |
---|---|

Abstract | Children’s multiplicative thinking as the visualization of equal group structures and the enumeration the composite units was the subject of this study. The results were obtained from a small sample of Australian children (n = 18) in their first year of school (mean age 5 years 6 months) who participated in a lesson taught by their classroom teacher. The 12 Little Ducks problem stimulated children to visualize and to draw different ways of making equal groups. Fifteen children (83 %) could identify and create equal groups; eight of these children (44 %) could also quantify the number of groups they formed. These findings show that some young children understand early multiplicative ideas and can visualize equal group situations and communicate about these through their drawings and talk. The study emphasises the value of encouraging mathematical visualization from an early age; using open thought-provoking problems to reveal children’s thinking; and promoting drawing as a form of mathematical communication. |

Keywords | visualization; multiplicative reasoning; children’s drawings; early mathematics; problem solving |

Year | 2020 |

Journal | The Journal of Mathematical Behavior |

Journal citation | 60, p. 100817 |

Publisher | Elsevier Inc. |

ISSN | 0732-3123 |

Digital Object Identifier (DOI) | https://doi.org/10.1016/j.jmathb.2020.100817 |

Scopus EID | 2-s2.0-85091259637 |

Research or scholarly | Research |

Page range | 1-16 |

Publisher's version | License All rights reserved File Access Level Controlled |

Output status | Published |

Publication dates | |

Online | 23 Sep 2020 |

Publication process dates | |

Accepted | 01 Sep 2020 |

Deposited | 07 Jul 2021 |

https://acuresearchbank.acu.edu.au/item/8w53v/investigating-young-students-multiplicative-thinking-the-12-little-ducks-problem

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