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Brainstorming Research Question: Community, Culture, and Character through math

In my class, I use a method called "Judo Math."  It allows students to work at their own pace. This includes allowing students to choose when to take assessments. Now, they have to earn the right to do this, but it still gives them the freedom to prepare until they feel they have a grasp of the material. I feel this builds confidence and results in better performance on the exam. My wondering:
How does this style of teaching build character and reinforce community and culture in the classroom? 
There are multiple teachers implementing this style in their classrooms, and it would be interesting to follow students through multiple grades to see if habits they picked up in my class, follow them through the grades. 
Ok.....my first post about a fierce wondering. More to come!