But the answer is not so simple as that. Art teachers may draw while students watch, but the best teachers also describe what they're doing so students can come to understand the many decisions being made. . . . The teaching might be described as acting out a story of how one creates. . . . First, and foremost, they motivate. Another is through encouragement of students' self-confidence.
Teachers also motivate through inspiration.
Sure, I was showing them how to solve problems. I did ask that they show their work on homework and exams, but it was always work that they thought led to the correct solution. I didn't ask them to tell their stories of what they had tried and rejected . . . I graded them only on the correctness of their results, not the quality of their thinking . . . So I wasn't teaching investigations, despite my realization that investigations were what I should be teaching and that it was theoretically possible to teach them.