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:
Mathematics (all)
Iceland
Online Access:https://hdl.handle.net/20.500.11815/4877
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spelling ftopinvisindi:oai:opinvisindi.is:20.500.11815/4877 2024-06-02T08:09:05+00:00 Ratios and Proportions in Iceland 1716–2016 Bjarnadóttir, Kristín Schubring, Gert Fan, Lianghuo Geraldo, Victor Education 2018 11 857853 230-240 https://hdl.handle.net/20.500.11815/4877 en eng Instituto de Matemática, Universidade Federal do Rio de Janeiro Proceedings of the Second International Conference on Mathematics Textbook Research and Development.; () 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 978-85-87674-33-3 221494694 08373b24-a2b8-4579-9ddf-92147d69179b https://hdl.handle.net/20.500.11815/4877 info:eu-repo/semantics/openAccess Mathematics (all) /dk/atira/pure/researchoutput/researchoutputtypes/contributiontobookanthology/chapter 2018 ftopinvisindi https://doi.org/20.500.11815/4877 2024-05-06T02:20:07Z 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 Book Part Iceland Opin vísindi (Iceland)
institution Open Polar
collection Opin vísindi (Iceland)
op_collection_id ftopinvisindi
language English
topic Mathematics (all)
spellingShingle Mathematics (all)
Bjarnadóttir, Kristín
Schubring, Gert
Fan, Lianghuo
Geraldo, Victor
Ratios and Proportions in Iceland 1716–2016
topic_facet Mathematics (all)
description 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
author2 Education
format Book Part
author Bjarnadóttir, Kristín
Schubring, Gert
Fan, Lianghuo
Geraldo, Victor
author_facet Bjarnadóttir, Kristín
Schubring, Gert
Fan, Lianghuo
Geraldo, Victor
author_sort Bjarnadóttir, Kristín
title Ratios and Proportions in Iceland 1716–2016
title_short Ratios and Proportions in Iceland 1716–2016
title_full Ratios and Proportions in Iceland 1716–2016
title_fullStr Ratios and Proportions in Iceland 1716–2016
title_full_unstemmed Ratios and Proportions in Iceland 1716–2016
title_sort ratios and proportions in iceland 1716–2016
publisher Instituto de Matemática, Universidade Federal do Rio de Janeiro
publishDate 2018
url https://hdl.handle.net/20.500.11815/4877
genre Iceland
genre_facet Iceland
op_relation Proceedings of the Second International Conference on Mathematics Textbook Research and Development.; ()
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
978-85-87674-33-3
221494694
08373b24-a2b8-4579-9ddf-92147d69179b
https://hdl.handle.net/20.500.11815/4877
op_rights info:eu-repo/semantics/openAccess
op_doi https://doi.org/20.500.11815/4877
_version_ 1800754690888040448

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