PERC 2019 Abstract Detail Page
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Abstract Title: | Square Peg Thinking, Round Hole Problems |
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Abstract: | Our research team seeks to develop research-based curriculum to aid students in translating across the math-physics interface in the upper division, specifically in the areas of basic vector concepts within various spatial coordinate systems. We developed an interview protocol and conducted 7 interviews with subjects at the junior undergraduate level and higher with analysis guided by Resource Theory. A case study and analysis of a common response type – making curvilinear-coordinate position vector expressions look like those of Cartesian coordinates – revealed a tendency for students to inappropriately activate resources productive in Cartesian coordinates in curvilinear coordinate situations. Analysis of Calculus textbooks revealed Cartesian-coordinate-based instruction comprised 95% of the content of those texts. Calculus III students also showed combinations of productive and non-productive ideas about these vector ideas at the end of their courses. We report in more detail and outline how our findings will inform future instructional material development. |
Abstract Type: | Juried Talk |
Parallel Session: | Juried Talks II |
Session Time: | Parallel Sessions Cluster II |
Room: | Soldier Creek |
Author/Organizer Information | |
Primary Contact: |
Brian Farlow North Dakota State University |
Co-Author(s) and Co-Presenter(s) |
Marlene Vega, Alden Bradley, Chaelee Dalton, Ruby Kalra, Jordan Brainard, Michael Loverude, Warren Christensen |