"On some level we know that if we become really involved with an area of knowledge, we learn it—with or without School, and in any case without the paraphernalia of curriculum and tests and segregation by age groups that School takes as axiomatic. We also know that if we do not become involved with the area of knowledge, we'll have trouble learning it with or without School's methods. . . . you can learn without being taught and often learn best when taught least." —Seymour Papert, The Children's Machine: Rethinking School in the Age of the Computer (1993), p. 141.
Seymour Papert coins a new term, "instructionism", to make a distinction between giving someone directions when they ask for them (instructing) and insisting that someone is dependent upon a constant stream of directions at all times (instructionism). There's nothing wrong with teaching per se—tutorials, demonstrations, and explanations all serve a purpose—the mistake is in the cultural mindset that assumes we can learn only when a teacher decides what, when and how we should learn.
In a school setting, teachers generally do not have the freedom to allow students to pursue their own interests at their own pace. Classes are organized by age, and curriculums are designed with a specific scope and sequence: in fifth grade, everyone must study U.S. history, earth science, and the metric system. Weekly lesson plans dictate what will be taught (and, hopefully, learned). There's a practical reason for this: when you have large numbers of students to educate, it's more efficient.
Although it's possible to follow a similar approach to homeschooling, and some do, it isn't necessary. In fact, it may even be counterproductive. If your goal as a home educator is to empower your children to learn on their own, why not begin by allowing them to follow their interests and see where they lead?

