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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
provided by the
Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Showing 1 to 2 of 2 (0.145 seconds)Spelling suggestions: "subject:"philosophical implications"" "subject:"aphilosophical implications""
| 1 |
Non-euclidean geometry and its possible role in the secondary school mathematics syllabusFish, Washiela 01 1900 (has links)
There are numerous problems associated with the teaching of Euclidean geometry at
secondary schools today. Students do not see the necessity of proving results which
have been obtained intuitively. They do not comprehend that the validity of a
deduction is independent of the 'truth' of the initial assumptions. They do not realise
that they cannot reason from diagrams, because these may be misleading or inaccurate.
Most importantly, they do not understand that Euclidean geometry is a particular
interpretation of physical space and that there are alternative, equally valid
interpretations. A possible means of addressing the above problems is tbe introduction of nonEuclidean
geometry at school level. It is imperative to identify those students who have
the pre-requisite knowledge and skills. A number of interesting teaching strategies,
such as debates, discussions, investigations, and oral and written presentations, can be
used to introduce and develop the content matter. / Mathematics Education / M. Sc. (Mathematics)
|
| 2 |
Non-euclidean geometry and its possible role in the secondary school mathematics syllabusFish, Washiela 01 1900 (has links)
There are numerous problems associated with the teaching of Euclidean geometry at
secondary schools today. Students do not see the necessity of proving results which
have been obtained intuitively. They do not comprehend that the validity of a
deduction is independent of the 'truth' of the initial assumptions. They do not realise
that they cannot reason from diagrams, because these may be misleading or inaccurate.
Most importantly, they do not understand that Euclidean geometry is a particular
interpretation of physical space and that there are alternative, equally valid
interpretations. A possible means of addressing the above problems is tbe introduction of nonEuclidean
geometry at school level. It is imperative to identify those students who have
the pre-requisite knowledge and skills. A number of interesting teaching strategies,
such as debates, discussions, investigations, and oral and written presentations, can be
used to introduce and develop the content matter. / Mathematics Education / M. Sc. (Mathematics)
|
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