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Science and Mathematics Education Commons

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Full-Text Articles in Science and Mathematics Education

Connecting Advanced And Secondary Mathematics, Eileen Murray, Erin Baldinger, Nicholas Wasserman, Shawn Broderick, Diana White Aug 2017

Connecting Advanced And Secondary Mathematics, Eileen Murray, Erin Baldinger, Nicholas Wasserman, Shawn Broderick, Diana White

Department of Mathematics Facuty Scholarship and Creative Works

There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers simply because the content is inherently related. In this paper, we instead argue that there are connections between advanced mathematics and secondary mathematics that directly influence teaching. These are not discussions of the mathematical connections, per se, but rather discussions of specific ways in which knowing mathematical connections might influence secondary teachers’ …


Strongly And Weakly Directed Approaches To Teaching Multiple Representation Use In Physics, Patrick B. Kohl, David Rosengrant, Noah D. Finkelstein Jul 2017

Strongly And Weakly Directed Approaches To Teaching Multiple Representation Use In Physics, Patrick B. Kohl, David Rosengrant, Noah D. Finkelstein

David Rosengrant

Good use of multiple representations is considered key to learning physics, and so there is considerable motivation both to learn how students use multiple representations when solving problems and to learn how best to teach problem solving using multiple representations. In this study of two large-lecture algebra-based physics courses at the University of Colorado (CU) and Rutgers, the State University of New Jersey, we address both issues. Students in each of the two courses solved five common electrostatics problems of varying difficulty, and we examine their solutions to clarify the relationship between multiple representation use and performance on problems involving …