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

Dyana Wijayanti (1)

1 UCPH - University of Copenhagen = Københavns Universitet

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.

Mots clés: Proportion; arithmetic; geometry; textbooks; Indonesia

Domaines: Education; Histoire et perspectives sur les mathématiques [math.HO]

Dyana Wijayanti. Relating arithmetical techniques of proportion to geometry: The case of Indonesian textbooks. CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Charles University in Prague, Faculty of Education; ERME, Feb 2015, Prague, Czech Republic. pp.3157-3163. ⟨hal-01289826⟩