## Abstract

When engaging students in genuine mathematical problem solving, how can instructors maintain a productive learning environment? In this paper, I examine a series of improvised instructional moves of Alan Schoenfeld, a renowned teacher of mathematical problem solving, and investigate his dilemmas, considerations, and in-the-moment decisions. I use the TRUmath framework to unpack the conflicts that underlie Schoenfeld's dilemmas, and to propose a tacit teaching heuristic that help explains his hard-to-justify moves. I conclude that Schoenfeld's in-the-moment decision making is tacitly oriented towards maintaining certain kinds of balances between his pedagogical principles. On the basis of this analysis, I recommend exploring further the use of TRUmath as a framework for analyzing in-the-moment decision making in the context of conflicting pedagogical principles.

Original language | English |
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Title of host publication | Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education |

Editors | T Dooley, G Gueudet |

Pages | 2217-2224 |

Number of pages | 8 |

ISBN (Electronic) | 978-1-873769-73-7 |

State | Published - Feb 2017 |

Event | 10th Conference of the European Society for Research in Mathematics Education - Dublin, Ireland Duration: 1 Feb 2017 → 5 Feb 2017 Conference number: 10th https://hal.archives-ouvertes.fr/CERME10 http://www.mathematik.uni-dortmund.de/ieem/erme_temp/CERME10_Proceedings_final.pdf |

### Publication series

Name | Proceedings of the Congress of the European Society for Research in Mathematics Education |
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Volume | 10 |

### Conference

Conference | 10th Conference of the European Society for Research in Mathematics Education |
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Abbreviated title | CERME |

Country/Territory | Ireland |

City | Dublin |

Period | 1/02/17 → 5/02/17 |

Internet address |