I think the problem is that the teacher doesn't know how to teach, not her sex. Since the term "teacher" is used, I suspect this is high school or underclassman college level. The emphasis there should be on learning the fundamentals, not on blazing new trails. Giving a student an impossible problem is not the way to go.
Now, where to begin with an inertial guidance (navigation) system for the visually impaired? First, I would make a list of what the system is supposed to do and add some measurable qualities to that list. As just one example, if the system is to help the person get around in a local shopping mall, what type of positioning accuracy and mapping input will you need? If it is to prevent falls, ask similar fall related questions. After you have a better idea of what you think is needed, visit some impaired people, observe, and ask them.
I think you will have a very hard time replacing a good service dog, either functionally or emotionally. So, you may want to define how your device will augment currently available resources.
John