Relaxed Homeschooling and "Unschooling" are a methods that some parents are following when it comes to homeschooling their children.
Unschooling
The unschooling method was developed by John Holt. It stresses that a parent should not be authoritatively directing a child's education.
Instead, they are to aide the child in exploring the interests that they have. Unschooling isn't a way of saying that a child isn't being educated – but a way of saying that they are not being educated in a rigid and traditional manner.
The main point behind what is sometimes referred to as "John Holt Unschooling" is that a child learns through the experiences that they have in their lives. Their parents can live their lives with the child at the same moment, thereby helping them to learn through each experience.
The theory is that by schooling in this way, it is interest-led, or child led, and the learning comes through each different experience that the child has in his or her life. These unschooling parents also believe that a child will be more successful at learning when he or she is not forced to learn things out of books.
While there are some textbooks that might be used in the unschooling method, they will not be central to the education. The main idea that Holt asserted was that there is no specific body of knowledge that is required of each child, or that should be required of a child.
For example, a child who is unschooled will learn to read in order to be able to read about other cultures or history, or something else that they are interested in. They will learn their math skills by working with the family business or even by operating a small business of their own as they grow. They might learn about animals by caring for those animals, and will learn about plants by growing and raising the plants on their own.
Holt’s theory is that they will learn about the things that are going on in the world around them, and through those things they will be taught issues such as politics and history.
The difference between unschooling and traditional homeschooling methods is that a traditionally homeschooled child might indeed do all of these things in order to learn, but an unschooled child will actually be the one to initiate these things -- not the parent.
Through unschooling, parents hope that they can instill all the knowledge in a child that he or she actually needs, but believe that the knowledge will be better received and more completely followed because the child initiates the learning on his or her own.
Relaxed Homeschooling
The biggest difference in between what's referred to as "relaxed homeschooling" and "unschooling," is this: Parents who plan and teach without being asked to by the child are relaxed homeschoolers (though usually in a very non-traditional hands-on manner!) Parents who only “teach” if their children ask to be taught about something, or who simply point their children in general directions so that they might find answers and "teach themselves" are actually unschooling.
Some "relaxed homeschoolers" call themselves "partial unschoolers" because they cannot fully trust that their children can totally direct their own education.
Relaxed homeschooling parents choose to teach their children the subjects they think are absolutely necessary, and then give them as much freedom as possible to pursue their interests.