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http://dx.doi.org/10.14477/jhm.2013.26.5_6.345
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Looking at HPM through an Old Chestnut: Sum of the Angles of a Triangle |

Siu, Man Keung (Dept. of math., Univ. of Hong Kong) |

Publication Information

Abstract

Some teachers do not regard the computation of the sum of the angles of a triangle by using a cut-and-paste or paper-folding method as providing a proof that the sum of the angles of a triangle is equal to two right angles. Some even think that this way of working is not mathematics but more like an experiment in physics. Some see the method as no better than measurement of the angles by a protractor. The author will examine this issue in the teaching and learning of school geometry and more generally as a specific example from the perspective of HPM (History and Pedagogy of Mathematics).

Keywords

geometric proof; history of mathematics; teaching and learning of mathematics;

Citations & Related Records

- Reference

1 | Yu I. Manin, A Course in Mathematical Logic, Heidelberg-New York: Springer-Verlag, 1977. |

2 | A. C. Clairaut, Elements de geometrie, Paris: Editions Jacques Gabay (reprinted edition, 2006), 1741/2006. |

3 | J. Fauvel & J. van Maanen (Eds.), History in Mathematics Education: The ICMI Study, Dordrecht: Kluwer Academic Publishers, 2000. |

4 | M. K. Siu,"Zhi yi xíng nan (knowing is easy and doing is difficult)"or vice versa? -A Chinese mathematician's observation on HPM (History and Pedagogy of Mathematics) activities, in The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India, edited by B. Sriraman, J. Cai, K. Lee, L. Fan, Y. Shimuzu, C. Lim, & K. Subramaniam, Charlotte: Information Age Publishing, 2014. |

5 | M. K. Siu & C. Tzanakis, "History of mathematics in classroom teaching—Appetizer? Main course? Or dessert?", Mediterranean Journal for Research in Mathematics Education 3 (1-2) (2004), v-x. |

6 | T. L. Heath, The Thirteen Books of Euclid's Elements, 2nd edition, Cambridge: Cambridge University Press, 1925. |