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Including School Mathematics Teaching Applications in an Undergraduate Abstract Algebra Course

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Title: Including School Mathematics Teaching Applications in an Undergraduate Abstract Algebra Course
Language: English
Authors: Álvarez, James A. M. (ORCID 0000-0001-8220-4741), Kercher, Andrew (ORCID 0000-0003-1387-7242), Turner, Kyle (ORCID 0000-0002-0383-4997), Arnold, Elizabeth G. (ORCID 0000-0003-0905-311X), Burroughs, Elizabeth A. (ORCID 0000-0002-7452-2755), Fulton, Elizabeth W. (ORCID 0000-0002-7812-915X)
Source: PRIMUS. 2022 32(6):685-703.
Availability: Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Peer Reviewed: Y
Page Count: 19
Publication Date: 2022
Sponsoring Agency: National Science Foundation (NSF)
Contract Number: DUE1726624
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
High Schools
Secondary Education
Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Algebra, High Schools, Secondary School Mathematics, Mathematical Concepts, Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Active Learning, Lesson Plans, Documentation, Equations (Mathematics), Instructional Materials, Course Content
DOI: 10.1080/10511970.2021.1912230
ISSN: 1051-1970
1935-4053
Abstract: We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to secondary school mathematics content for prospective secondary mathematics teachers, as well as provide instructors with a useful resource. Each lesson includes four guiding features: addressing meaningful content; making connections to mathematics teaching; emphasizing active learning; and providing comprehensive notes for instructors. Interviews with instructors and their students document how the instructors adapted the lessons to their classrooms and how the lessons influenced undergraduates' mathematical understanding.
Abstractor: As Provided
Entry Date: 2022
Accession Number: EJ1345537
Database: ERIC
FullText Text:
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  Data: Including School Mathematics Teaching Applications in an Undergraduate Abstract Algebra Course
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  Data: <searchLink fieldCode="AR" term="%22Álvarez%2C+James+A%2E+M%2E%22">Álvarez, James A. M.</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0001-8220-4741">0000-0001-8220-4741</externalLink>)<br /><searchLink fieldCode="AR" term="%22Kercher%2C+Andrew%22">Kercher, Andrew</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0003-1387-7242">0000-0003-1387-7242</externalLink>)<br /><searchLink fieldCode="AR" term="%22Turner%2C+Kyle%22">Turner, Kyle</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0002-0383-4997">0000-0002-0383-4997</externalLink>)<br /><searchLink fieldCode="AR" term="%22Arnold%2C+Elizabeth+G%2E%22">Arnold, Elizabeth G.</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0003-0905-311X">0000-0003-0905-311X</externalLink>)<br /><searchLink fieldCode="AR" term="%22Burroughs%2C+Elizabeth+A%2E%22">Burroughs, Elizabeth A.</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0002-7452-2755">0000-0002-7452-2755</externalLink>)<br /><searchLink fieldCode="AR" term="%22Fulton%2C+Elizabeth+W%2E%22">Fulton, Elizabeth W.</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0002-7812-915X">0000-0002-7812-915X</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22PRIMUS%22"><i>PRIMUS</i></searchLink>. 2022 32(6):685-703.
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  Data: Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
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  Data: 10.1080/10511970.2021.1912230
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  Data: 1051-1970<br />1935-4053
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  Label: Abstract
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  Data: We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to secondary school mathematics content for prospective secondary mathematics teachers, as well as provide instructors with a useful resource. Each lesson includes four guiding features: addressing meaningful content; making connections to mathematics teaching; emphasizing active learning; and providing comprehensive notes for instructors. Interviews with instructors and their students document how the instructors adapted the lessons to their classrooms and how the lessons influenced undergraduates' mathematical understanding.
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