Learning programming for mathematical investigations: an instrumental and community of practice approach.

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Title: Learning programming for mathematical investigations: an instrumental and community of practice approach.
Authors: Gueudet, Ghislaine1 (AUTHOR) Ghislaine.Gueudet@universite-paris-saclay.fr, Buteau, Chantal2 (AUTHOR), Broley, Laura2 (AUTHOR), Mgombelo, Joyce3 (AUTHOR), Muller, Eric2 (AUTHOR), Sacristán, Ana Isabel4 (AUTHOR), Santacruz Rodriguez, Marisol5 (AUTHOR)
Source: Research in Mathematics Education. Apr2025, Vol. 27 Issue 1, p66-91. 26p.
Subject Terms: *College students, Scheme programming language, Mathematical programming, Communities of practice, Mathematicians
Abstract: In this article, we seek to understand how university students learn to use programming for mathematical investigations; our precise focus is on how the analysis of social elements in operational knowledge elucidates this learning. We propose a framework coordinating the instrumental approach and communities of practice (CoP) theory. We apply it in the context of project-based university courses (MICA courses), where the CoP of mathematicians using programming for their research is a reference. We investigate the schemes associated with the programming language and its environment developed by students along trajectories of legitimate peripheral participation. We focus on the scheme developed for the goal "validating the programmed mathematics." Our results indicate that for the same goal, common rules-of-action are developed by students, but differences can appear concerning theorems-in-action. This study also suggests theoretical developments linked with the coordination of the instrumental approach and CoP theory. [ABSTRACT FROM AUTHOR]
Copyright of Research in Mathematics Education is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Learning programming for mathematical investigations: an instrumental and community of practice approach.
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  Data: <searchLink fieldCode="AR" term="%22Gueudet%2C+Ghislaine%22">Gueudet, Ghislaine</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Ghislaine.Gueudet@universite-paris-saclay.fr</i><br /><searchLink fieldCode="AR" term="%22Buteau%2C+Chantal%22">Buteau, Chantal</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Broley%2C+Laura%22">Broley, Laura</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mgombelo%2C+Joyce%22">Mgombelo, Joyce</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Muller%2C+Eric%22">Muller, Eric</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sacristán%2C+Ana+Isabel%22">Sacristán, Ana Isabel</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Santacruz+Rodriguez%2C+Marisol%22">Santacruz Rodriguez, Marisol</searchLink><relatesTo>5</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Research+in+Mathematics+Education%22">Research in Mathematics Education</searchLink>. Apr2025, Vol. 27 Issue 1, p66-91. 26p.
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  Data: *<searchLink fieldCode="DE" term="%22College+students%22">College students</searchLink><br /><searchLink fieldCode="DE" term="%22Scheme+programming+language%22">Scheme programming language</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+programming%22">Mathematical programming</searchLink><br /><searchLink fieldCode="DE" term="%22Communities+of+practice%22">Communities of practice</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematicians%22">Mathematicians</searchLink>
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  Label: Abstract
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  Data: In this article, we seek to understand how university students learn to use programming for mathematical investigations; our precise focus is on how the analysis of social elements in operational knowledge elucidates this learning. We propose a framework coordinating the instrumental approach and communities of practice (CoP) theory. We apply it in the context of project-based university courses (MICA courses), where the CoP of mathematicians using programming for their research is a reference. We investigate the schemes associated with the programming language and its environment developed by students along trajectories of legitimate peripheral participation. We focus on the scheme developed for the goal "validating the programmed mathematics." Our results indicate that for the same goal, common rules-of-action are developed by students, but differences can appear concerning theorems-in-action. This study also suggests theoretical developments linked with the coordination of the instrumental approach and CoP theory. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Research in Mathematics Education is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1080/14794802.2023.2239195
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      – Code: eng
        Text: English
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        PageCount: 26
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      – SubjectFull: College students
        Type: general
      – SubjectFull: Scheme programming language
        Type: general
      – SubjectFull: Mathematical programming
        Type: general
      – SubjectFull: Communities of practice
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      – SubjectFull: Mathematicians
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      – TitleFull: Learning programming for mathematical investigations: an instrumental and community of practice approach.
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              Text: Apr2025
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              Y: 2025
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