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Journal of Educational Research in Mathematics -
Vol. 30

[ Special ] | |

Journal of Educational Research in Mathematics - Vol. 30, No. SP1, pp.1-13 | |

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.1.1 | |

Proof in Mathematics Education, 1980-2020: An Overview | |

Gila Hanna ^{*}^{, †} ; Christine Knipping^{**}
| |

*Professor, University of Toronto, Canada | |

**Professor, Universität Bremen, Germany | |

Correspondence to : ^{†}Email: gila.hanna@utoronto.ca, knipping@math.uni-bremen.de | |

Funding Information ▼ | |

Please cite this article as: Hanna, G. & Knipping, C. Proof in mathematics education, 1980-2020: An Overview. |

Abstract

This paper looks at the evolution of ideas on the role of proof in mathematics education from 1980 to 2020, examining in particular the contributions of both theoretical and empirical research to the teaching of mathematical proof. In so doing, it describes some of the major epistemological themes that emerged in the last forty years, primarily in the philosophy of mathematics and in mathematical education, and informed both the mathematics curriculum and research in mathematics education. The paper also discusses selected research studies that shed light on the opportunities and limitations students face when they engage in proof. Finally, it describes briefly a number of developments in proof technology and the potential of automated theorem provers for enhancing the teaching of proof.

Keywords: Proof, Reasoning and proof, Epistemological perspectives, Empirical research, Proof assistants |

Acknowledgments

We are grateful to the reviewers for their helpful comments. We wish to acknowledge the generous support of the Social Sciences and Humanities Research Council of Canada.

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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).