http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-26T22:58:19-08:00 http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2011-06-14T09:27:12-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:circle?rev=1308068832 Students determine relationship between charge density and total charge using understanding of a circle In this video students were asked to solve for the potential in all space due to a ring of charge Q and radius R. This activity is described in . text/html 2008-05-07T09:51:57-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:definitions?rev=1210179117 Definitions Use of geometric understanding The use of any understanding of the geometry of a problem in order to facilitate understanding of the problem and/or make progress on the problem. Examples: • Finding charge density on a ring applying the relationship that length = 2πR text/html 2008-06-02T11:48:53-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:dissertation?rev=1212432533 Student Geometric Reasoning in the Context of Junior-Level E&M Problems Question: In what ways do students use geometric understanding of a problem in their problem solving? • What are examples of students using geometric understanding? • What are examples of types of reasoning that are seen commonly among a large percentage of students? text/html 2008-06-02T10:48:36-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:examples?rev=1212428916 Video Examples of Students Using Geometric Reasoning While Solving E&M Problems Definitions To see definitions of any of the terms used on this page, Use this link to definitions Outline of Stuff Students Need to Learn Learning Video of Geometric to Symbolic Translation * Students determine relationship between charge density and total charge using understanding of a Circle text/html 2008-05-28T12:45:41-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:geometric_dissertation?rev=1212003941 Student Geometric Reasoning in the Context of Junior-Level E&M Problems Question: In what ways do students use geometric understanding of a problem in their problem solving? • What are examples of students using geometric understanding? • What are examples of types of reasoning that are seen commonly among a large percentage of students? text/html 2008-05-27T14:05:24-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:internal_link?rev=1211922324 Group 4 Solving for Potential of a Charged Ring: Concepts with which They Wrestle 1) Quickly: Choosing a coordinate system (1:21) 2) Dealing with all the different “r's” : a) R as radius; b) r as position vector of “voltmeter”; c) r' as position vector to dQ on ring; text/html 2008-06-02T12:54:44-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:learning?rev=1212436484 Outline of Stuff Students Are Learning and Wrestling With 1) Understanding and translating symbols and notation “” 2) Understanding Physics Concepts 3) Understanding Mathematics Concepts and Processes 4) Use of Geometric Understanding and Harmonic Reasoning to Solve Problems Examples text/html 2011-06-14T09:27:09-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:start?rev=1308068829 Geometric and Harmonic Reasoning We have begun to study how students use their understanding of the geometry of a problem to make progress in problem solving. We are also looking at the extent to which students go from geometric understanding to algebraic symbols or go from a mathematical expression to geometric understanding. Students who go fluidly back and forth between the geometry and the symbols are referred to as thinking “harmonically”. text/html 2008-05-28T09:51:47-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:video_examples?rev=1211993507 Video Examples of Students Using Geometric Reasoning While Solving E&M Problems Definitions To see definitions of any of the terms used on this page, Use this link to definitions Video of Geometric to Symbolic Translation * Students determine relationship between charge density and total charge using understanding of a Circle text/html 2008-05-28T12:35:02-08:00 http://sites.science.oregonstate.edu/portfolioswiki/whitepapers:harmonic:vringgrp4?rev=1212003302 Group 4 Solving for Potential of a Charged Ring: Concepts with which They Wrestle 1) Choosing a coordinate system (G4,1:21) 2) Dealing with all the different “r's” : a) R as radius; b) r as position vector of “voltmeter”; c) r' as position vector to dQ on ring;