From the story of the three little pigs, you can see the importance of the core value of a family.
The first significant core value is diligence. The mother advised the little pigs that the world outside could be very dangerous, and they have to be hard working, to build themselves a secure home so that they can protect themselves. Of course, diligence is not something you can really teach, this is something which the receiver has to exercise themselves. It is more like an attitude than some form of knowledges that you can own, but it's more like your being. From the examples of the three little pigs, they exercise different degree of diligence. Whether that's enough or not, depend also on what you will actually face. A straw house could be strong enough if you just want a shelter under the sun, a brick house could be insufficient if you meet a strong earthquake but a straw house can survive you otherwise!
The second core value is cooperation, or the family relationship, or the brotherhood among the three little pigs. Obviously when they face big challenges, they will seek help from each others! This is again, not something that can be given, but it's more like a transfer of the "culture" of the parents, and when they're small at home. I would say this is the real core value of their family. Since no matter how the reality turns out, the brotherhood, a great family relationship, is going to help! Wisdom might not, diligence might not, but great relationship always help!
This is love.