Ratios and Proportions in Iceland 1716–2016

The topics of ratios and proportions are investigated in the oldest Icelandic arithmetic textbook, Arithmetica Islandica of 1716, preserved in the manuscript Lbs. 1694 8vo. The conjecture that it is a translation of the printed Danish Arithmetica Danica of 1649 is rejected, while there may be some t...

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Bibliographic Details
Main Authors: Bjarnadóttir, Kristín, Schubring, Gert, Fan, Lianghuo, Geraldo, Victor
Other Authors: Education
Format: Book Part
Language:English
Published: Instituto de Matemática, Universidade Federal do Rio de Janeiro 2018
Subjects:
Online Access:https://hdl.handle.net/20.500.11815/4877
Description
Summary:The topics of ratios and proportions are investigated in the oldest Icelandic arithmetic textbook, Arithmetica Islandica of 1716, preserved in the manuscript Lbs. 1694 8vo. The conjecture that it is a translation of the printed Danish Arithmetica Danica of 1649 is rejected, while there may be some transmissions of ideas. In continuation, the history of teaching ratio and proportions from Arithmetica Danica until the latest textbook in Icelandic, Skali of 2016, is investigated and related to recent research on obstacles in proportional reasoning. Peer reviewed