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Journal of Educational Research in Mathematics -
Vol. 30

[ Special ] | |

Journal of Educational Research in Mathematics - Vol. 30, No. SP1, pp.153-168 | |

Abbreviation: JERM | |

ISSN: 2288-7733 (Print) 2288-8357 (Online) | |

Print publication date 31 Aug 2020 | |

DOI: https://doi.org/10.29275/jerm.2020.08.sp.1.153 | |

Middle-Grade Teachers’ Reasoning with Fraction Division Tasks | |

Soo Jin Lee ^{*}
| |

*Professor, Korea National University of Education, South Korea | |

Email: sjlee@knue.ac.kr | |

Please cite this article as: Lee, S. J. Middle-grade teachers’ reasoning with fraction division tasks. |

Abstract

This study provides a fine-grained analysis of teachers’ reasoning as they engage in quotitive fraction division tasks. In particular, this qualitative analysis considers the mathematical knowledge that six middle-grade teachers used in a professional development program and interviews. In all of the items, fraction division situations were approached through linear or area models. Analysis focused on three knowledge components with which teachers associated in reasoning fraction division tasks: partitioning operations, reasoning with quantitative units (referent units and levels of units), and interpretations of numerical expressions of division.

Keywords: Reasoning with quantitative units, Fraction division, Mathematical knowledge for teaching, Partitioning operations |

Acknowledgments

This article is based in part on the author’s doctoral dissertation (Lee, 2010), which was completed at the University of Georgia under the supervision of Denise Spangler. The author wishes to thank Leslie Steffe, Andrew Izsák, Chandra Orrill, and Jaehong Shin for comments that influenced the development of the ideas in the dissertation.

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Submitting manuscripts for peer review as well as other correspondences can either be made via online by an email (ksesm@daum.net) or sending a mail at Secretariat of

Journal of Educational Research in Mathematics, #1305 Daewoo The'O Ville, 115 Hangang-daero, Yongsan-gu, Seoul, 04376, Republic of Korea (Tel: +82‐2‐797‐7780, Fax: +82‐2‐797‐7750).

Submitting manuscripts for peer review as well as other correspondences can either be made via online by an email (ksesm@daum.net) or sending a mail at Secretariat of

Journal of Educational Research in Mathematics, #1305 Daewoo The'O Ville, 115 Hangang-daero, Yongsan-gu, Seoul, 04376, Republic of Korea (Tel: +82‐2‐797‐7780, Fax: +82‐2‐797‐7750).