### 抄録

This paper describes an application of statics to geometrical proofs in the classroom. The aim of the study was to find out whether the use of concepts and arguments from statics can help students understand and produce proofs of geometrical theorems. The two theorems studied were: (1) that the medians in a triangle meet at a single point which is the centre of gravity of the triangle, and (2) the Varignon theorem, that the lines joining the midpoints of successive sides of a quadrilateral form a parallelogram. The classroom experiment showed that most students were successful in using arguments from statics in their proofs, and that they gained a better understanding of the theorems. These findings lend support to the claim that the introduction of statics helps students produce proofs and grasp their meaning.

元の言語 | English |
---|---|

ページ（範囲） | 82-90 |

ページ数 | 9 |

ジャーナル | ZDM - International Journal on Mathematics Education |

巻 | 36 |

発行部数 | 3 |

DOI | |

出版物ステータス | Published - 2004 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Education
- Mathematics(all)

### これを引用

*ZDM - International Journal on Mathematics Education*,

*36*(3), 82-90. https://doi.org/10.1007/BF02652775

**Teaching proof in the context of physics.** / Hanna, Gila; de Bruyn, Ysbrand; Sidoli, Nathan Camillo; Lomas, Dennis.

研究成果: Article

*ZDM - International Journal on Mathematics Education*, 巻. 36, 番号 3, pp. 82-90. https://doi.org/10.1007/BF02652775

}

TY - JOUR

T1 - Teaching proof in the context of physics

AU - Hanna, Gila

AU - de Bruyn, Ysbrand

AU - Sidoli, Nathan Camillo

AU - Lomas, Dennis

PY - 2004

Y1 - 2004

N2 - This paper describes an application of statics to geometrical proofs in the classroom. The aim of the study was to find out whether the use of concepts and arguments from statics can help students understand and produce proofs of geometrical theorems. The two theorems studied were: (1) that the medians in a triangle meet at a single point which is the centre of gravity of the triangle, and (2) the Varignon theorem, that the lines joining the midpoints of successive sides of a quadrilateral form a parallelogram. The classroom experiment showed that most students were successful in using arguments from statics in their proofs, and that they gained a better understanding of the theorems. These findings lend support to the claim that the introduction of statics helps students produce proofs and grasp their meaning.

AB - This paper describes an application of statics to geometrical proofs in the classroom. The aim of the study was to find out whether the use of concepts and arguments from statics can help students understand and produce proofs of geometrical theorems. The two theorems studied were: (1) that the medians in a triangle meet at a single point which is the centre of gravity of the triangle, and (2) the Varignon theorem, that the lines joining the midpoints of successive sides of a quadrilateral form a parallelogram. The classroom experiment showed that most students were successful in using arguments from statics in their proofs, and that they gained a better understanding of the theorems. These findings lend support to the claim that the introduction of statics helps students produce proofs and grasp their meaning.

UR - http://www.scopus.com/inward/record.url?scp=84867364309&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867364309&partnerID=8YFLogxK

U2 - 10.1007/BF02652775

DO - 10.1007/BF02652775

M3 - Article

AN - SCOPUS:84867364309

VL - 36

SP - 82

EP - 90

JO - ZDM - International Journal on Mathematics Education

JF - ZDM - International Journal on Mathematics Education

SN - 1863-9690

IS - 3

ER -