Classical Method
Classical homeschooling involves teaching based on the three stages of learning: the Grammar stage, the Logic stage, and the Rhetoric stage. The Grammar stage involves learning facts, memorization, and knowledge gathering. The Logic stage is when reasoning and logic begin to be applied to the knowledge. The Rhetoric stage completes the Trivium and is when the student learns the skills of wisdom and judgment.
You can learn more about the Trivium in the article Definition for Classical Education by Harvey and Laurie Bluedorn. The Well-Trained Mind: A Guide to Classical Education at Home by Jessie Wise, Susan Wise Bauer and Teaching the Trivium: Christian Homeschooling in the Classical Style by Harvey & Laurie Bluedorn are two books that provide an excellent overview to Classical Education methods and resources.
If you would like to know more about Classical Education, an in-depth look examination of the method is on the FAQ page of Classical Christian Homeschooling. Classical Conversations is a a nationwide network of classical, Christian communities providing academic programs, events, and services to local home school communities, parents, and educators.
Many homeschoolers who choose the Classical Method find the Story of the World and its accompanying activity books by Susan Wise Bauer to be invaluable:
Ancient Times
The Story of the World: History for the Classical Child; Volume 1: Ancient Times
The Story of the World: Activity Book One: Ancient Times
The Middle Ages
The Story of the World: History for the Classical Child, Volume 2: The Middle Ages
The Story of the World: Activity Book Two: The Middle Ages
Early Modern Times
The Story of the World: History for the Classical Child, Volume 3: Early Modern Times
The Story of the World Activity Book Three: Early Modern Times