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Journal of Educational Research in Mathematics -
Vol. 30

[ Special ] | |

Journal of Educational Research in Mathematics - Vol. 30, No. SP1, pp.229-248 | |

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.1.229 | |

Do Generic Proofs Improve Proof Comprehension? | |

Kristen Lew ^{*}^{, †} ; Keith Weber^{**} ; Juan Pablo Mejía Ramos^{**}
| |

*Professor, Texas State University, USA | |

**Professor, Rutgers University, USA | |

Correspondence to : ^{†}Email: kristen.lew@txstate.edu, keith.weber@gse.rutgers.edu, jpmejia@math.rutgers.edu | |

Please cite this article as: Lew, K., Weber, K., & Ramos, J. P. M. Do generic proofs improve proof comprehension? |

Abstract

Students often have difficulty understanding the proofs that they read. Some mathematics educators have suggested using generic proofs to improve students’ proof comprehension. However, few empirical studies about students’ perceptions of generic proofs or whether students understand generic proofs better than traditional proofs have been conducted. In this paper, we describe a qualitative interview study and a quantitative experimental study exploring these issues. Our first finding is that generic proofs are popular with students, who believe they have the potential to improve proof comprehension. Our second finding is that in a randomized controlled experiment, students did not learn more from reading a generic proof than a traditional proof. The significance of these findings is discussed at the end of the paper.

Keywords: Generic proof, Proof, Proof comprehension |

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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).