The Annenburg Math and Science Project published a list of What Teachers Should be Doing in an effective classroom. So, perhaps this would provide at least one perspective on your question:
"1. Guiding students in exploring multiple solutions to any problem;challenging students to think deeply. 2. Moving around the room to keep everyone engaged in productive work. 3. Encouraging students to raise and discuss questions about math for which there are no textbook answers. Rather than simply answer these questions, teachers help students to gain mathematical competence and confidence by finding their own solutions. 4. Guiding students in making appropriate uses of manipulatives and technology. 5. Promoting student use of inquiry and creativity. Students are moved to higher levels of learning by pursuing alternative approaches to solving a problem or by proposing new problems that are variations on or extensions of a given problem. 6. Bringing a variety of learning resources, including guest presenters, into the classroom in order to increase learning options for all students. 7. Working with other teachers to make connections between disciplines in order to show how math is part of other subjects that students are studying. 8. Using assessment that focuses on problem solving and understanding rather than on memory and speed. 9. Helping all students to explore career opportunities that use the mathematics that they are learning."
Ron Ward/Western Washington U/Bellingham, WA 98225 firstname.lastname@example.org
On Mon, 31 Jul 1995 Pondview@aol.com wrote:
> I am taking a grad class and the instructor put this question out ot us > -"What makes a "good" teacher "good"? ANyon ehave any input? > Rose Marie > >