You'll allow the child to disagree with your conclusions, if she can support her points from the facts. And you'll expect her not simply to repeat what she's read, but to rework the material to reflect her own thoughts. Once she's done this, she'll have learned the material, once and for all. Even the most dedicated teacher can't allow a class of thirty to dialogue its way to comprehension. The noise would be overwhelming.
Textbooks are generally boring.
Start with logic. In the next chapter, we'll introduce you to the formal study of logic. In the chapters that follow, we'll guide you in applying the categories and structures of logic to the various subject areas. Home educated students typically spend an hour in self-directed work for every ten minutes of parental tutoring. Because of this new time economy, and because the student has now mastered the most basic elements of reading, writing, and math, you'll find that you're able to cover more material.