Scott said < In the majority of my students not at all!!!! Dan I <hope you allow your students to make mistakes. I hope you <allow your <students to be creative and come up with different maybe <even crazy ideas <that will help them create a firm base of knowledge free <from the narrow <veiwpoints of those in authority.
I guess I didn't make myself clear. I believe that kids need to discover things in mathematics and to be able to solve a problem after their own style. I also believe that to perfect a skill that is a tool to problem solving one must practice, prcatice, practice. Just like a surgeon must practice to become skilled at cutting people and putting them back together.
<Dan why are you comparing learning mathematics with a <highly <skilled-specialized-payed professional. The mental <differences between an <highly educated adult(o.k. there are a few Doogy Howsers out <there) and the <adolescent barely out of childhood. I find these comparisons <rediculous <and boring.
Scott, Learning is learning whether it be an adolescent or an adult.
<Sure the doctor had to learn the basics(whatever that is) but <as anyone who does surgery knows there is one very <important thing that <makes a good surgeon and that is experience.
Your telling me that one can become a good surgeon just by experience with no basics (knowledge and skill)?
Well, you did give somthing to think about. Thanks. Hope you have a good summer. too.