I just have a little thoughts about your question.In the course named "Sociology of Family" I had taken this semaster,we had talked about three types of parental behavior.
(1)authoritative style:it is a parenting style that parents combine high levels of emotional support with consistent,moderate control of their children,
(2)permissive style：a parenting style in which parents provide emotional support but exercise little control over their children,
(3)authoritarian style:a parenting style in which parents combine low levels of emotional support with coercive attempts at control of their children.
I think,民主 is more like the first one parenting style.父母尊重孩子的想法，并有极大的耐心帮助孩子表达自己。同时又给予孩子一定的支持与帮助。比如说，当孩子犯错时，会告诉孩子为什么这样做是错误的，会解释原因，并告诉孩子怎样做是正确的。