Towards the end of the semester, when we were starting to read more of the primary literature, I realized that the Miller Indices were present in most of the papers that I wanted to discuss. However, I couldn't find any good resources in textbooks that would help to explain what these were. I found this online resource through the University of Cambridge that is engaging, interactive and concise.
The tutorial website does an amazing goal of outling the specific learning goals here.
In brief, the learning goals for student are:
- Gain an understanding of Miller Indices
- Given a set of numbers, generate the unit cell plane
- Determine the set of Miller Indices given a plane in a unit cell
- Describe how Miller Indices can be used in the "real world" through literature examples
I sent the website out to the students about a week before class and asked them to read the first eight sections (through "Bracket Conventions") and also the section on "Practical Uses". I told them that we would discuss the material in class and then go through some of the Games in the "Questions" section. I intentionally left out the section that dealt with the Weiss Zone Law.
There was no formal homework assignment associated with the assignment.
During class, I pulled the website up and we went through each of the sections. Once I felt that everyone had had a chance to ask any questions on each of the pages, I then pulled up the "Questions" and we answered the drag-and-drop questions as a class.
I called on students individually and had them answer questions in front of the class (we had been doing this all semester and there were only eight students). I answered the first questions and got several of them wrong, so they felt much more comfortable making mistakes.
When doing this again, I would use the entire tutorial, and not just selected sections.