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Autor/inn/en | Smith, Emily M.; Zwolak, Justyna P.; Manogue, Corinne A. |
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Titel | Isolating Approaches: How Middle-Division Physics Students Coordinate Forms and Representations in Complex Algebra |
Quelle | In: Physical Review Physics Education Research, 15 (2019) 1, Artikel 010138 (14 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 2469-9896 |
Schlagwörter | College Students; Physics; Science Instruction; Algebra; Geometric Concepts; Numbers; College Science; Trigonometry; Mathematical Logic; Coding; Problem Solving; Oregon |
Abstract | Mathematical reasoning with algebraic and geometric representations is essential for success in upperdivision and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations. By designing a task for middle-division physics students to translate a geometric representation to several algebraic representations, we identified students' facilities and difficulties with complex number algebra. Students were successful when they isolated approaches, which was characterized by students' use of circle trigonometry, triangle trigonometry, the Pythagorean theorem, and the square of the norm approaches. When students were not successful, they inappropriately mixed approaches to the problem, including failing to distinguish between triangle and circle trigonometry. (As Provided). |
Anmerkungen | American Physical Society. One Physics Ellipse 4th Floor, College Park, MD 20740-3844. Tel: 301-209-3200; Fax: 301-209-0865; e-mail: assocpub@aps.org; Web site: http://prst-per.aps.org |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2020/1/01 |