In simple terms, that would be the difference between self understanding and self actualization vs. self and others, and the relationship between them. All morality consists of relationships between persons and is personal to the individual and the society that they inhabit.
Both counseling and moral or character education can be used to teach children in a manner that will help them develop variously as moral (knowing right from wrong), civic, mannered, and socially acceptable human beings. Morality is connected to our place in a community or tradition, our understanding of nature and human nature, our convictions about the afterlife, our experiences of the sacred, our assumptions about what the mind can know, and our understanding of what makes life meaningful.
I trust that it is uncontroversial to say that schooling is a moral enterprise. Indeed, schools teach morality in a number of ways, both implicit and explicit. Schools have a moral ethos embodied in rules, rewards and punishments, dress codes, honor codes, student government, relationships, styles of teaching, extracurricular emphases, art, and in the kinds of respect accorded students and teachers. Schools convey to children what is expected of them, what is normal, what is right and wrong. It is often claimed that values are caught rather than taught; through their ethos, schools socialize children into patterns of moral behavior. However, “moral education” is an umbrella term for two quite different tasks and approaches. The first, which might better be called moral “socialization” or “training,” is the task of nurturing in children those virtues and values that make them good people