What are some appropriate and effective ways to use technology in the mathematics classroom? How can you ensure that students do not depend too heavily on technology to complete mathematics assignments?

Answer 1

On the second question, " do not depend too heavily..." is the issue. What does that mean?
Many schools, including the famous Chicago Math curriculum, have relegated the multiplication tables and fractions to calculator. So kids do not have to master 8 times 7, or 32 divided by 8 any longer....that is for the calculator. So kids never learn to estimate.
In that particular text, there are a few problems at the end of the chapter...that is the total extent of practice with that curriculum. Kids never get to master anything.
Enough preaching. But if math specialists cannot agree on what "too heavily" means, it is not possible to answer. As for myself, an Engineer by training, math is a language requiring fluency and detail.
So where does technology fit in? Not in 8 x 7. But it does have a use in 8.32 x 7.09
Computer graphing of complex equations. I remember in high school the hours I put in trying to graph manually.

y=Sinx + 1/2 sin3x + 1/5 sin 6x + 1/7 sin7x...The computer can do that easily, and should.

Answer 2

ok I do not understand that.