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dc.creatorWeber, Keith
dc.creatorMejía-Ramosa, Juan Pablo
dc.creatorFukawa-Connelly, Timothy
dc.creatorWasserman, Nicholas
dc.date.accessioned2021-04-02T18:25:23Z
dc.date.available2021-04-02T18:25:23Z
dc.date.issued2019-12-26
dc.identifier.citationWeber, K., Mejía-Ramos, J.P., Fukawa-Connelly, T., & Wasserman, N. (2020). Connecting the learning of advanced mathematics with the teaching of secondary mathematics: Inverse functions, domain restrictions, and the arcsine function. The Journal of Mathematical Behavior, 57, 100752. https://doi.org/10.1016/j.jmathb.2019.100752
dc.identifier.issn0732-3123
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/6274
dc.identifier.urihttp://hdl.handle.net/20.500.12613/6292
dc.description.abstractProspective secondary mathematics teachers are typically required to take advanced university mathematics courses. However, many prospective teachers see little value in completing these courses. In this paper, we present the instantiation of an innovative model that we have previously developed on how to teach advanced mathematics to prospective teachers in a way that informs their future pedagogy. We illustrate this model with a particular module in real analysis in which theorems about continuity, injectivity, and monotonicity are used to inform teachers’ instruction on inverse trigonometric functions and solving trigonometric equations. We report data from a design research study illustrating how our activities helped prospective teachers develop a more productive understanding of inverse functions. We then present pre-test/post-test data illustrating that the prospective teachers were better able to respond to pedagogical situations around these concepts that they might encounter.
dc.format.extent61 pages
dc.languageEnglish
dc.language.isoeng
dc.relation.ispartofFaculty/ Researcher Works
dc.relation.haspartJournal of Mathematical Behavior, Vol. 57, March 2020
dc.relation.isreferencedbyElsevier
dc.rightsAll Rights Reserved
dc.subjectInverse function
dc.subjectInverse trigonometric function
dc.subjectReal analysis
dc.subjectTeacher education
dc.titleConnecting the learning of advanced mathematics with the teaching of secondary mathematics: Inverse functions, domain restrictions, and the arcsine function
dc.typeText
dc.type.genrePre-print
dc.description.departmentTeaching and Learning
dc.relation.doihttps://doi.org/10.1016/j.jmathb.2019.100752
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.description.schoolcollegeTemple University. College of Education and Human Development
dc.temple.creatorFukawa-Connelly, Timothy
refterms.dateFOA2021-04-02T18:25:23Z


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