There are probably a few collaborative levels in a family. As far as immediate families I see three groups that interact distinctly enough, in certain contexts, to merit being different structures or at least substructures: 1) the entire family, 2) parents, 3) children. As far as the family as a collaborative structure I'll I really have to go off of is my own experience. There were 8 of us, 6 children, my mom, and dad. Rarely did all the kids make up their own collaborative structure because of the age spread and the different interests and circumstances but often a group of about 3 maybe 4 kids would band together and collaborate. Likewise, the parents were the heart of the collaborative structure. They would pull different or all of the kids into the "collaborative group" as needed. By design I think the "experts" in the family or those who have more experience learn just as much as the novices though the novices usually don't see it that way.
Interactions between collaborative structures:
As I think about family as a collaborative structure it seems that a very important factor is interaction between one collaborative group and another. For example, the immediate family is one structure and then you have extended family. How those two structures interact can define each other. For example, if there is unity between the two when they come together the immediate family almost feels like a subset of the extended. If there is no unity, need for each other, or ties then they become distinct groups. Also, it gets really hard to feel like the entire extended family is a collaborative structure just because of the size, much like a large class compared to a group from that class that works together.
Outside of the family I think the Lord has given us many other collaborative structures: quorums, classes, neighbors, and friends make up just a few. As I grew up I had a handful of close friends, they were from both quorums and school classes. They had a large influence on my life and I think the Lord knew that I needed those people who really were, in many ways, a collaborative structure. There were about 5 of us most of the time and because of that collaborative structure I learned things and participated in many things that I would not have otherwise. We were different enough to learn from each other yet we had mostly similar interests. Those with more aptitude and experience in a specific interest pulled the rest of the group into those areas that they maybe would not have seen or chosen to be involved in individually. Those interactions also allowed us to build faith in the principle that we are able to "act for [our]selves and not to be acted upon" in such a way that we can "do much good" (2 Ne 2:26, 2 Ne 3:24) and achieve things that were difficult.
In all cases these collaborative structures can potentially provide negative experiences that perhaps hinder faith and learning. Perhaps understanding among group members, a unity of purpose, a willingness to adapt and change, shared positive experiences and other similar factors help avoid a negative collaborative structure.
There is no way to eliminate individual structure in life. The Lord has built it in. Rich experiences come as we learn to be "with ourselves." I also see activities such as personal scripture study, personal hobbies and sitting down just to think alone as individual structure. It seems that the quest of improvement and ultimately salvation is a rich interaction between the key life components of individual structure and collaborative structure, particularly in the family.