Promote proportional reasoning through digital technology

This article explores alternative teaching methods that promote proportional reasoning in Mexican students aged fourteen to fifteen using digital technology. To this end, a sequence of didactic activities has been designed to give meaning to the concepts of ratio and proportion in their different re...

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Main Authors: Armando Cuevas-Vallejo, Erasmo Islas-Ortiz, José Orozco-Santiago
Format: Article
Language:English
Published: Universidad de Guadalajara 2023-03-01
Series:Apertura
Subjects:
Online Access:http://www.udgvirtual.udg.mx/apertura/index.php/apertura/article/view/2344
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author Armando Cuevas-Vallejo
Erasmo Islas-Ortiz
José Orozco-Santiago
author_facet Armando Cuevas-Vallejo
Erasmo Islas-Ortiz
José Orozco-Santiago
author_sort Armando Cuevas-Vallejo
collection DOAJ
description This article explores alternative teaching methods that promote proportional reasoning in Mexican students aged fourteen to fifteen using digital technology. To this end, a sequence of didactic activities has been designed to give meaning to the concepts of ratio and proportion in their different representations from the approach of linear functions. For the design of the tasks, elements of the theory of Realistic Mathematics Education and the Didactics of CuevasPluvinage were used, coinciding with several didactic points. The proposed learning objectives and activities have been organized through a hypothetical learning trajectory. The analysis and detailed evaluation of the responses allowed us to identify: the didactic advantages of the design, the learning difficulties, and the vital role played by technology in the learning process.
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spelling doaj.art-7bdb1828413841e29d0b292788f8769e2023-04-17T16:05:22ZengUniversidad de GuadalajaraApertura1665-61802007-10942023-03-011518410110.32870/Ap.v15n1.2344Promote proportional reasoning through digital technologyArmando Cuevas-Vallejo0https://orcid.org/0000-0002-7529-4520Erasmo Islas-Ortiz1https://orcid.org/0000-0002-5628-4837José Orozco-Santiago2https://orcid.org/0000-0001-9005-0658Instituto Politécnico Nacional Instituto Politécnico Nacional Universidad Autónoma de PueblaThis article explores alternative teaching methods that promote proportional reasoning in Mexican students aged fourteen to fifteen using digital technology. To this end, a sequence of didactic activities has been designed to give meaning to the concepts of ratio and proportion in their different representations from the approach of linear functions. For the design of the tasks, elements of the theory of Realistic Mathematics Education and the Didactics of CuevasPluvinage were used, coinciding with several didactic points. The proposed learning objectives and activities have been organized through a hypothetical learning trajectory. The analysis and detailed evaluation of the responses allowed us to identify: the didactic advantages of the design, the learning difficulties, and the vital role played by technology in the learning process.http://www.udgvirtual.udg.mx/apertura/index.php/apertura/article/view/2344proportional reasoningmathematicsdigital technologyhigh school educationdidactics
spellingShingle Armando Cuevas-Vallejo
Erasmo Islas-Ortiz
José Orozco-Santiago
Promote proportional reasoning through digital technology
Apertura
proportional reasoning
mathematics
digital technology
high school education
didactics
title Promote proportional reasoning through digital technology
title_full Promote proportional reasoning through digital technology
title_fullStr Promote proportional reasoning through digital technology
title_full_unstemmed Promote proportional reasoning through digital technology
title_short Promote proportional reasoning through digital technology
title_sort promote proportional reasoning through digital technology
topic proportional reasoning
mathematics
digital technology
high school education
didactics
url http://www.udgvirtual.udg.mx/apertura/index.php/apertura/article/view/2344
work_keys_str_mv AT armandocuevasvallejo promoteproportionalreasoningthroughdigitaltechnology
AT erasmoislasortiz promoteproportionalreasoningthroughdigitaltechnology
AT joseorozcosantiago promoteproportionalreasoningthroughdigitaltechnology