Relating arithmetical techniques of proportion to geometry: The case of Indonesian textbook

Dyana Wijayanti

Abstract

The purpose of this study is to investigate how textbooks introduce and treat the theme of proportion in geometry (similarity) and arithmetic (ratio and proportion), and how these themes are linked to each other in the books. To pursue this aim, we use the anthropological theory of the didactic. Considering 6 common Indonesian textbooks in use, we describe how proportion is explained and appears in examples and exercises, using an explicit reference model of the mathematical organizations of both themes. We also identify how the proportion themes of the geometry and arithmetic domains are linked. Our results show that the explanation in two domains has different approach, but basically they are mathematically related.
OriginalsprogEngelsk
Titel Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education
RedaktørerKonrad Krainer, Nada Vondrova
ForlagEuropean Society for Research in Mathematics Education
Publikationsdato2015
Sider33157-3163
StatusUdgivet - 2015
BegivenhedNinth Congress of the European Society for Research in Mathematics Education - Prag, Tjekkiet
Varighed: 4 feb. 20158 feb. 2015
http://www.cerme9.org/

Konference

KonferenceNinth Congress of the European Society for Research in Mathematics Education
Land/OmrådeTjekkiet
ByPrag
Periode04/02/201508/02/2015
Internetadresse

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