Question

Qualities that parents find important and desirable in the education of their children are what?

Answer 1

Individual parents may have a different understanding and knowledge.

Explanation:

A better question is "What ARE the most important and desirable attributes of a child's education". There are differences of opinion even amongst professional educators. A couple of good examples are here:
http://work.chron.com/qualities-good-teacher-early-childhood-development-8694.html

http://www.preservearticles.com/201105056307/child-centered-education.html