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Multivariable Calculus Instructors' Reports of Resource Use

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Title: Multivariable Calculus Instructors' Reports of Resource Use
Language: English
Authors: Deborah Moore-Russo (ORCID 0000-0003-2171-6617), Rafael Martínez-Planell (ORCID 0000-0001-5512-8405), Shelby Stanhope (ORCID 0009-0001-7694-074X), Paul Seeburger (ORCID 0009-0005-5058-2293), Stepan Paul (ORCID 0000-0001-9626-5609), Monica M. VanDieren (ORCID 0000-0003-4350-181X)
Source: International Journal of Research in Undergraduate Mathematics Education. 2024 10(3):802-822.
Availability: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Peer Reviewed: Y
Page Count: 21
Publication Date: 2024
Sponsoring Agency: National Science Foundation (NSF)
Contract Number: 2120660
2121133
2121152
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
Descriptors: College Faculty, Undergraduate Students, Calculus, Mathematics Curriculum, Mathematics Instruction, Mathematics Materials, Mathematics Teachers, Educational Resources, Textbook Selection, Selection Criteria, Media Selection, Instructional Material Evaluation, Teacher Attitudes, Visualization, Student Centered Learning, Open Educational Resources
DOI: 10.1007/s40753-024-00243-5
ISSN: 2198-9745
2198-9753
Abstract: Given the challenge of visualizing the main constructs of two-variable functions and their differential and integral calculus, it is essential to consider instructional resources' use and perceived potential to contribute to students' understanding. This case study considers how four instructors selected and used digital and physical resources in multivariable calculus and their motivations for doing so. We use the teaching triad of "sensitivity to students," "mathematical challenge," and "management of learning" to consider the reasons for resource adoption, studying how these instructors think about the resources they use. We also consider how instructors, students, and resources are reported to interact in multivariable calculus. Findings suggest that the instructors' concern for students' learning and their conviction that visualization is crucial in multivariable calculus moved them to explore and adopt different resources, especially ones that were free and easy to use. However, visualization was not the only spatial literacy aspect considered. As the instructors gained more experience with the instructional resources they were using, they reported adopting more student-centered use of these resources that allowed them to do more than facilitate visualization during a lecture. The resources began serving as referents for students as they communicated and reasoned about tasks with the instructor as well as among themselves.
Abstractor: As Provided
Entry Date: 2025
Accession Number: EJ1455436
Database: ERIC
FullText Text:
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  Data: Multivariable Calculus Instructors' Reports of Resource Use
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  Data: <searchLink fieldCode="AR" term="%22Deborah+Moore-Russo%22">Deborah Moore-Russo</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0003-2171-6617">0000-0003-2171-6617</externalLink>)<br /><searchLink fieldCode="AR" term="%22Rafael+Martínez-Planell%22">Rafael Martínez-Planell</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0001-5512-8405">0000-0001-5512-8405</externalLink>)<br /><searchLink fieldCode="AR" term="%22Shelby+Stanhope%22">Shelby Stanhope</searchLink> (ORCID <externalLink term="http://orcid.org/0009-0001-7694-074X">0009-0001-7694-074X</externalLink>)<br /><searchLink fieldCode="AR" term="%22Paul+Seeburger%22">Paul Seeburger</searchLink> (ORCID <externalLink term="http://orcid.org/0009-0005-5058-2293">0009-0005-5058-2293</externalLink>)<br /><searchLink fieldCode="AR" term="%22Stepan+Paul%22">Stepan Paul</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0001-9626-5609">0000-0001-9626-5609</externalLink>)<br /><searchLink fieldCode="AR" term="%22Monica+M%2E+VanDieren%22">Monica M. VanDieren</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0003-4350-181X">0000-0003-4350-181X</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22International+Journal+of+Research+in+Undergraduate+Mathematics+Education%22"><i>International Journal of Research in Undergraduate Mathematics Education</i></searchLink>. 2024 10(3):802-822.
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  Data: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
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  Data: 21
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  Data: 2024
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  Data: National Science Foundation (NSF)
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  Data: <searchLink fieldCode="DE" term="%22College+Faculty%22">College Faculty</searchLink><br /><searchLink fieldCode="DE" term="%22Undergraduate+Students%22">Undergraduate Students</searchLink><br /><searchLink fieldCode="DE" term="%22Calculus%22">Calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Curriculum%22">Mathematics Curriculum</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Materials%22">Mathematics Materials</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Teachers%22">Mathematics Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Educational+Resources%22">Educational Resources</searchLink><br /><searchLink fieldCode="DE" term="%22Textbook+Selection%22">Textbook Selection</searchLink><br /><searchLink fieldCode="DE" term="%22Selection+Criteria%22">Selection Criteria</searchLink><br /><searchLink fieldCode="DE" term="%22Media+Selection%22">Media Selection</searchLink><br /><searchLink fieldCode="DE" term="%22Instructional+Material+Evaluation%22">Instructional Material Evaluation</searchLink><br /><searchLink fieldCode="DE" term="%22Teacher+Attitudes%22">Teacher Attitudes</searchLink><br /><searchLink fieldCode="DE" term="%22Visualization%22">Visualization</searchLink><br /><searchLink fieldCode="DE" term="%22Student+Centered+Learning%22">Student Centered Learning</searchLink><br /><searchLink fieldCode="DE" term="%22Open+Educational+Resources%22">Open Educational Resources</searchLink>
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  Data: 10.1007/s40753-024-00243-5
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  Label: ISSN
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  Data: 2198-9745<br />2198-9753
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Given the challenge of visualizing the main constructs of two-variable functions and their differential and integral calculus, it is essential to consider instructional resources' use and perceived potential to contribute to students' understanding. This case study considers how four instructors selected and used digital and physical resources in multivariable calculus and their motivations for doing so. We use the teaching triad of "sensitivity to students," "mathematical challenge," and "management of learning" to consider the reasons for resource adoption, studying how these instructors think about the resources they use. We also consider how instructors, students, and resources are reported to interact in multivariable calculus. Findings suggest that the instructors' concern for students' learning and their conviction that visualization is crucial in multivariable calculus moved them to explore and adopt different resources, especially ones that were free and easy to use. However, visualization was not the only spatial literacy aspect considered. As the instructors gained more experience with the instructional resources they were using, they reported adopting more student-centered use of these resources that allowed them to do more than facilitate visualization during a lecture. The resources began serving as referents for students as they communicated and reasoned about tasks with the instructor as well as among themselves.
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        Value: 10.1007/s40753-024-00243-5
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      – Text: English
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      Pagination:
        PageCount: 21
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      – SubjectFull: Undergraduate Students
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      – SubjectFull: Calculus
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      – SubjectFull: Educational Resources
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      – SubjectFull: Open Educational Resources
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      – TitleFull: Multivariable Calculus Instructors' Reports of Resource Use
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