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On the mutual relationship of different construction tools and mathematical concepts

Authors: Sauerwein, Marc;

On the mutual relationship of different construction tools and mathematical concepts

Abstract

For many reasons, straightedge and compass have been regarded as the classic construction tools of geometry since Euclid's Elements. With increasing experience, their use becomes decoupled from the direct construction activities with straightedge and compass. If this decoupling process is not given space in geometry lessons, there is a risk that pupils will not recognise the underlying structures and will not be able to use individual standard constructions in a meaningful and relevant way to solve geometric questions. The article would therefore like to start before this abstraction process and focus on different construction methods in order to show how the respective construction could shape the view on the geometric object. The interplay of different construction methods in geometry lessons can create opportunities that can be beneficial for both conceptual and language development in geometry lessons.

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Keywords

development of mathematical language, planar geometry, [SHS.EDU] Humanities and Social Sciences/Education, mathematical notions/concept, Subject-matter didactics, [MATH] Mathematics [math]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green