Relating arithmetical techniques of proportion to geometry: The case of Indonesian textbook
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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Relating arithmetical techniques of proportion to geometry : The case of Indonesian textbook. / Wijayanti, Dyana.
Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education. ed. / Konrad Krainer; Nada Vondrova. European Society for Research in Mathematics Education , 2015. p. 33157-3163.Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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TY - GEN
T1 - Relating arithmetical techniques of proportion to geometry
AU - Wijayanti, Dyana
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
M3 - Article in proceedings
SP - 33157
EP - 33163
BT - Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education
A2 - Krainer, Konrad
A2 - Vondrova, Nada
PB - European Society for Research in Mathematics Education
Y2 - 4 February 2015 through 8 February 2015
ER -
ID: 162254549