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dc.contributor.authorAlvarez, James A.M.
dc.contributor.authorArnold, Elizabeth G.
dc.contributor.authorBurroughs, Elizabeth A.
dc.contributor.authorFulton, Elizabeth W.
dc.contributor.authorKercher, Andrew
dc.date.accessioned2021-03-23T18:43:44Z
dc.date.available2021-03-23T18:43:44Z
dc.date.issued2020-12
dc.identifier.citationÁlvarez, J. A., Arnold, E. G., Burroughs, E. A., Fulton, E. W., & Kercher, A. (2020). The design of tasks that address applications to teaching secondary mathematics for use in undergraduate mathematics courses. The Journal of Mathematical Behavior, 60, 100814.en_US
dc.identifier.issn0732-3123
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/16161
dc.description.abstracthis paper describes theoretical design principles emerging from the development of tasks for standard undergraduate mathematics courses that address applications to teaching secondary mathematics. While researchers recognize that mathematical knowledge for teaching is a form of applied mathematics, applications to teaching remain largely absent from curriculum resources for courses for mathematics majors. We developed various materials that contain applications to teaching that have been integrated into four standard undergraduate mathematics courses. Three primary principles influenced the design of the tasks that prepare future teachers to learn and apply mathematics in a manner central to their future work. Additionally, this paper provides guidance for instructors desiring to develop or implement similar applications. The process of developing these tasks underscores the importance of key features regarding the roles of human beings in the tasks, the intentional focus on advanced content connected to school mathematics, and the integration of active engagement strategies.en_US
dc.language.isoen_USen_US
dc.publisherElsevieren_US
dc.rightsCC-BY-ND-NC 4.0 2020en_US
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.subjectDesign principles; Applications to teaching; Secondary mathematics; Mathematical knowledge for teachingen_US
dc.titleThe design of tasks that address applications to teaching secondary mathematics for use in undergraduate mathematics coursesen_US
dc.typeArticleen_US
mus.citation.extentfirstpage100814en_US
mus.citation.extentlastpage100814en_US
mus.citation.journaltitleThe Journal of Mathematical Behavioren_US
mus.citation.volume60en_US
mus.identifier.doihttps://doi.org/10.1016/j.jmathb.2020.100814en_US
mus.relation.collegeCollege of Letters & Scienceen_US
mus.relation.departmentMathematical Sciences.en_US
mus.relation.universityMontana State University - Bozemanen_US


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