Concepts, terms and symbols in mathematics textbooks

The article discusses the problems of definitions of concepts of school mathematics in textbooks. Excerpts from textbooks show  how interpretations of a fraction having no necessary properties of a mathematical definition have changed over the decades. The alternative of a concept of a fraction bas...

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Main Author: Rimas Norvaiša
Format: Article
Language:English
Published: Vilnius University Press 2023-11-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/33597
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author Rimas Norvaiša
author_facet Rimas Norvaiša
author_sort Rimas Norvaiša
collection DOAJ
description The article discusses the problems of definitions of concepts of school mathematics in textbooks. Excerpts from textbooks show  how interpretations of a fraction having no necessary properties of a mathematical definition have changed over the decades. The alternative of a concept of a fraction based on the number line is discussed.
format Article
id doaj-art-90595025b30b4b0093303559589be75b
institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 2023-11-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-90595025b30b4b0093303559589be75b2025-01-20T18:14:58ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-11-0164B10.15388/LMR.2023.33597Concepts, terms and symbols in mathematics textbooksRimas Norvaiša0Vilnius University The article discusses the problems of definitions of concepts of school mathematics in textbooks. Excerpts from textbooks show  how interpretations of a fraction having no necessary properties of a mathematical definition have changed over the decades. The alternative of a concept of a fraction based on the number line is discussed. https://www.journals.vu.lt/LMR/article/view/33597concept of fractionconcept of quotientnumber linetextbook school mathematicsmathematical nominalism
spellingShingle Rimas Norvaiša
Concepts, terms and symbols in mathematics textbooks
Lietuvos Matematikos Rinkinys
concept of fraction
concept of quotient
number line
textbook school mathematics
mathematical nominalism
title Concepts, terms and symbols in mathematics textbooks
title_full Concepts, terms and symbols in mathematics textbooks
title_fullStr Concepts, terms and symbols in mathematics textbooks
title_full_unstemmed Concepts, terms and symbols in mathematics textbooks
title_short Concepts, terms and symbols in mathematics textbooks
title_sort concepts terms and symbols in mathematics textbooks
topic concept of fraction
concept of quotient
number line
textbook school mathematics
mathematical nominalism
url https://www.journals.vu.lt/LMR/article/view/33597
work_keys_str_mv AT rimasnorvaisa conceptstermsandsymbolsinmathematicstextbooks