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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. 5-6, p. 345-353; 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 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 Identifier | http://hdl.handle.net/10722/202990 |
| ISSN |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Siu, MK | en_US |
| dc.date.accessioned | 2014-09-19T11:06:55Z | - |
| dc.date.available | 2014-09-19T11:06:55Z | - |
| dc.date.issued | 2013 | en_US |
| dc.identifier.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. | en_US |
| dc.identifier.issn | 1226-931X | - |
| 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 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.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 | 5-6 | en_US |
| dc.identifier.spage | 345 | en_US |
| dc.identifier.epage | 353 | en_US |
| dc.publisher.place | Korea | - |
| dc.identifier.issnl | 1226-931X | - |