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Design principles of creativity-fostering tasks in multivariable calculus.

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Title: Design principles of creativity-fostering tasks in multivariable calculus.
Authors: El Turkey, Houssein1 (AUTHOR) Helturkey@newhaven.edu, Karakok, Gulden2 (AUTHOR), Savić, Miloš3 (AUTHOR), Tang, Gail4 (AUTHOR), Cilli-Turner, Emily5 (AUTHOR)
Source: International Journal of Mathematical Education in Science & Technology. Dec2025, Vol. 56 Issue 12, p2402-2418. 17p.
Subject Terms: *Creative ability, *Project method in teaching, *Student engagement, *Interdisciplinary research, *Teaching methods, Multivariable calculus, Mathematics
Abstract: Many studies and policy documents call for fostering students' creativity in the mathematics courses, which requires intentional instructional actions that centre creativity in classroom discourse. These actions include designing and implementing creativity-fostering tasks. This paper describes design processes of multivariable Calculus tasks using a research-based task-design framework. Discussion of the design principles for such tasks includes the alignment of the framework to research-based features stemming from creativity literature and important mathematical concepts of the course. Further, some of the designed multivariable Calculus tasks have additional goals such as connecting the task to future content, engaging students with applications of the concepts, and aligning with the different topics of the course, making them domain-transcendental tasks. We also share results from our preliminary data analysis of interviews with multivariable Calculus students, capturing their perception of the creativity-fostering tasks and the impact of tasks on their mathematical creativity. This paper provides some guidance to practitioners who are interested in fostering undergraduate students' mathematical creativity through design and implementation of creativity-fostering tasks in multivariable Calculus. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Mathematical Education in Science & Technology 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.)
Database: Education Research Complete
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PubType: Academic Journal
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  Data: Design principles of creativity-fostering tasks in multivariable calculus.
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  Data: <searchLink fieldCode="AR" term="%22El+Turkey%2C+Houssein%22">El Turkey, Houssein</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Helturkey@newhaven.edu</i><br /><searchLink fieldCode="AR" term="%22Karakok%2C+Gulden%22">Karakok, Gulden</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Savić%2C+Miloš%22">Savić, Miloš</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tang%2C+Gail%22">Tang, Gail</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Cilli-Turner%2C+Emily%22">Cilli-Turner, Emily</searchLink><relatesTo>5</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Mathematical+Education+in+Science+%26+Technology%22">International Journal of Mathematical Education in Science & Technology</searchLink>. Dec2025, Vol. 56 Issue 12, p2402-2418. 17p.
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  Data: *<searchLink fieldCode="DE" term="%22Creative+ability%22">Creative ability</searchLink><br />*<searchLink fieldCode="DE" term="%22Project+method+in+teaching%22">Project method in teaching</searchLink><br />*<searchLink fieldCode="DE" term="%22Student+engagement%22">Student engagement</searchLink><br />*<searchLink fieldCode="DE" term="%22Interdisciplinary+research%22">Interdisciplinary research</searchLink><br />*<searchLink fieldCode="DE" term="%22Teaching+methods%22">Teaching methods</searchLink><br /><searchLink fieldCode="DE" term="%22Multivariable+calculus%22">Multivariable calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink>
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  Data: Many studies and policy documents call for fostering students' creativity in the mathematics courses, which requires intentional instructional actions that centre creativity in classroom discourse. These actions include designing and implementing creativity-fostering tasks. This paper describes design processes of multivariable Calculus tasks using a research-based task-design framework. Discussion of the design principles for such tasks includes the alignment of the framework to research-based features stemming from creativity literature and important mathematical concepts of the course. Further, some of the designed multivariable Calculus tasks have additional goals such as connecting the task to future content, engaging students with applications of the concepts, and aligning with the different topics of the course, making them domain-transcendental tasks. We also share results from our preliminary data analysis of interviews with multivariable Calculus students, capturing their perception of the creativity-fostering tasks and the impact of tasks on their mathematical creativity. This paper provides some guidance to practitioners who are interested in fostering undergraduate students' mathematical creativity through design and implementation of creativity-fostering tasks in multivariable Calculus. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of International Journal of Mathematical Education in Science & Technology 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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=190688204
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        Value: 10.1080/0020739X.2025.2586040
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      – Code: eng
        Text: English
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        PageCount: 17
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        Type: general
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      – SubjectFull: Student engagement
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      – SubjectFull: Teaching methods
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      – SubjectFull: Multivariable calculus
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      – SubjectFull: Mathematics
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              M: 12
              Text: Dec2025
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