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

TitleLooking at HPM through an old chestnut: Sum of the angles of a triangle
Authors
KeywordsGeometric proof
History of mathematics
Teaching and learning of mathematics
Issue Date2013
PublisherThe 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. 5-6, p. 345-353; with an addendum in Journal of History of Mathematics, 27(1) (Feb.2014), 3. How to Cite?
AbstractSome 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).
Persistent Identifierhttp://hdl.handle.net/10722/202990
ISSN

 

DC FieldValueLanguage
dc.contributor.authorSiu, MKen_US
dc.date.accessioned2014-09-19T11:06:55Z-
dc.date.available2014-09-19T11:06:55Z-
dc.date.issued2013en_US
dc.identifier.citationJournal for History of Mathematics, 2013, v. 26 n. 5-6, p. 345-353; with an addendum in Journal of History of Mathematics, 27(1) (Feb.2014), 3.en_US
dc.identifier.issn1226-931X-
dc.identifier.urihttp://hdl.handle.net/10722/202990-
dc.description.abstractSome 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).en_US
dc.languageengen_US
dc.publisherThe 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.ispartofJournal for History of Mathematicsen_US
dc.subjectGeometric proof-
dc.subjectHistory of mathematics-
dc.subjectTeaching and learning of mathematics-
dc.titleLooking at HPM through an old chestnut: Sum of the angles of a triangleen_US
dc.typeArticleen_US
dc.identifier.emailSiu, MK: mathsiu@hkucc.hku.hken_US
dc.identifier.doi10.14477/jhm.2013.26.5_6.345-
dc.identifier.hkuros239358en_US
dc.identifier.volume26en_US
dc.identifier.issue5-6en_US
dc.identifier.spage345en_US
dc.identifier.epage353en_US
dc.publisher.placeKorea-

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