Trusted Together: A Commognitive Perspective on a Primary Source Project in Multivariable Calculus.

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Title: Trusted Together: A Commognitive Perspective on a Primary Source Project in Multivariable Calculus.
Authors: Edwards, Abe1 aedwards@msu.edu
Source: Mathematics Enthusiast. Jun2025, Vol. 22 Issue 1/2, p123-147. 25p.
Subject Terms: *Historical source material, *Community involvement, Multivariable calculus, History of mathematics, Undergraduate education
Abstract: When an instructor asks their students to read, discuss, and learn from primary historical sources as replacements for traditional textbook expositions, it requires trust both of their students and of the source authors. This article draws on the commognitive theory of learning to justify this trust. The article demonstrates how a primary source project related to Green's Theorem can be used to both help students see that mathematical objects evolve over time, and to give students opportunities to increase their participation in the mathematical community through the adoption of new mathematical discourses. [ABSTRACT FROM AUTHOR]
Copyright of Mathematics Enthusiast is the property of Prof. Bharath Sriraman 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.)
Database: Education Research Complete
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PubType: Academic Journal
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  Data: Trusted Together: A Commognitive Perspective on a Primary Source Project in Multivariable Calculus.
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  Data: *<searchLink fieldCode="DE" term="%22Historical+source+material%22">Historical source material</searchLink><br />*<searchLink fieldCode="DE" term="%22Community+involvement%22">Community involvement</searchLink><br /><searchLink fieldCode="DE" term="%22Multivariable+calculus%22">Multivariable calculus</searchLink><br /><searchLink fieldCode="DE" term="%22History+of+mathematics%22">History of mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Undergraduate+education%22">Undergraduate education</searchLink>
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  Data: When an instructor asks their students to read, discuss, and learn from primary historical sources as replacements for traditional textbook expositions, it requires trust both of their students and of the source authors. This article draws on the commognitive theory of learning to justify this trust. The article demonstrates how a primary source project related to Green's Theorem can be used to both help students see that mathematical objects evolve over time, and to give students opportunities to increase their participation in the mathematical community through the adoption of new mathematical discourses. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematics Enthusiast is the property of Prof. Bharath Sriraman 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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        Value: 10.54870/1551-3440.1655
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Community involvement
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      – SubjectFull: Multivariable calculus
        Type: general
      – SubjectFull: History of mathematics
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      – SubjectFull: Undergraduate education
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      – TitleFull: Trusted Together: A Commognitive Perspective on a Primary Source Project in Multivariable Calculus.
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              M: 06
              Text: Jun2025
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              Y: 2025
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