Ratios and Proportions in Iceland 1716–2016

Title:	Ratios and Proportions in Iceland 1716–2016
Author:	Bjarnadóttir, Kristín Schubring, Gert Fan, Lianghuo Geraldo, Victor 4 authors Show fewer authors
Date:	2018
Language:	English
Scope:	11
School:	Education
ISBN:	978-85-87674-33-3
Series:	Proceedings of the Second International Conference on Mathematics Textbook Research and Development.; ()
Subject:	Mathematics (all)
URI:	https://hdl.handle.net/20.500.11815/4877
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Citation: Bjarnadóttir , K 2018 , Ratios and Proportions in Iceland 1716–2016 . in G Schubring , L Fan & V Geraldo (eds) , Proceedings of the Second International Conference on Mathematics Textbook Research and Development. . Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro , pp. 230-240 , The Second International Conference on Mathematics Textbook Research and Development. , Rio de Janeiro , Brazil , 7/05/17 . conference
Abstract: 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.