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Article: Looking at HPM through an old chestnut: Sum of the angles of a triangle
Title  Looking at HPM through an old chestnut: Sum of the angles of a triangle 

Authors  
Keywords  Geometric proof History of mathematics Teaching and learning of mathematics 
Issue Date  2013 
Publisher  The Korean Society for History of Mathematics. The Journal's web site is located at http://www.koreascience.or.kr/journal/AboutJournal.jsp?kojic=KSHSBA 
Citation  Journal for History of Mathematics, 2013, v. 26 n. 56, p. 345353; with an addendum in Journal of History of Mathematics, 27(1) (Feb.2014), 3. How to Cite? 
Abstract  Some teachers do not regard the computation of the sum of the angles of a triangle by using a cutandpaste or paperfolding 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). 
Persistent Identifier  http://hdl.handle.net/10722/202990 
ISSN 
DC Field  Value  Language 

dc.contributor.author  Siu, MK  en_US 
dc.date.accessioned  20140919T11:06:55Z   
dc.date.available  20140919T11:06:55Z   
dc.date.issued  2013  en_US 
dc.identifier.citation  Journal for History of Mathematics, 2013, v. 26 n. 56, p. 345353; with an addendum in Journal of History of Mathematics, 27(1) (Feb.2014), 3.  en_US 
dc.identifier.issn  1226931X   
dc.identifier.uri  http://hdl.handle.net/10722/202990   
dc.description.abstract  Some teachers do not regard the computation of the sum of the angles of a triangle by using a cutandpaste or paperfolding 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).  en_US 
dc.language  eng  en_US 
dc.publisher  The Korean Society for History of Mathematics. The Journal's web site is located at http://www.koreascience.or.kr/journal/AboutJournal.jsp?kojic=KSHSBA   
dc.relation.ispartof  Journal for History of Mathematics  en_US 
dc.subject  Geometric proof   
dc.subject  History of mathematics   
dc.subject  Teaching and learning of mathematics   
dc.title  Looking at HPM through an old chestnut: Sum of the angles of a triangle  en_US 
dc.type  Article  en_US 
dc.identifier.email  Siu, MK: mathsiu@hkucc.hku.hk  en_US 
dc.identifier.doi  10.14477/jhm.2013.26.5_6.345   
dc.identifier.hkuros  239358  en_US 
dc.identifier.volume  26  en_US 
dc.identifier.issue  56  en_US 
dc.identifier.spage  345  en_US 
dc.identifier.epage  353  en_US 
dc.publisher.place  Korea   