==== 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? • What are examples of types of reasoning that are exceptional and found only among certain students? • To what advances in understanding or solving of the problem does the particular application of geometric understanding lead? • What situations lead to symbolic->geometric understanding, which lead to geometric->symbolic, and which to harmonic reasoning? ==== Revised Dissertation Questions ==== Question: What are the concepts and processes with which students are wrestling when solving E&M problems, and how do they approach them? • What aspects of E&M problems are not obvious to students, including understanding of: * physical quatities * geometric relationships * mathematical processes * notation and translation of symbols • What approaches do students take to overcome challenges and to what extent is geometric reasoning used to solve the problem. Link to an expansion of these ideas about student [[Learning]] ==== Links ==== [[Definitions]] A look at what students are wrestling with and some video [[Examples]]