A textbook method uses work-texts or traditional textbooks to teach individual subjects. Each subject is studied for a designated time each day and there are worksheets and tests. The benefit of this method is simplicity, because all instruction materials are laid out and it follows the education curriculum that's close to traditional schooling with grades and goals. It may not work for all families because it can be restrictive and may pose as a boundary to creativity.
The classical method dates back to the Middle Ages and is attributed to Dorothy Sayers. She focused on teaching students how to learn, instead of merely encouraging memorization. The first stage of grammar focuses on language, including reading, writing, spelling and arithmetic, and is taught from kindergarten to grade five. The dialectic stage, from grades six to eight, focuses on argument and debate along with studying theology and higher levels of math. The last stage is rhetoric, when students learn how to express themselves in a clear and logical manner.
The focus of the Moore method is delaying the three R's of reading, writing and arithmetic until the brain, vision, emotions, hearing, social ability and perceptions are developed. That typically occurs between the ages of 8 to 10, but can be later, especially in boys. The main focus is to concentrate on the child's signs of readiness. Moore also advocates using projects and subjects that interest the child as the main focus for education.
Charlotte Manson introduced the Living Books and Life Experiences method. Instead of forcing a traditional curriculum, this method focuses on allowing the child to follow his own paths of interest and draw his own conclusions. This method allows for traditional education for a small portion of the day and using life experiences and activities such as reading, nature walks, museums, and exploration for more learning opportunities.