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### 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

A look at what students are wrestling with and some video Examples