I was not trying to discredit the need for the right answer nor was the speaker. What I got from her speech was that teachers should not just give full credit or no credit on math problems, but partial credit for the work that was correct and then explain where the error occurred. This is the teaching part of math. Just like when we train our dogs, first teach the concepts. Reward the dog for the things it does right, but correct the mistakes. School is not the real world, but a training ground. As the trainer all you can do is teach at the best of your ability and to always be fair to the dog. I was told once by a very good trainer that people are always fast to make harsh corrections, but slow to give praise. Kids are not much different than dogs when it comes to praise and harsh treatment. If we want our dogs to make it to their full potential we need to keep that drive alive. Kids also need to be encouraged to keep up their drive for higher learning. Most kids start hating math very early in their education. Why? Teachers kill the drive. Just like not all dogs will be field champions, not all students will be doctors, that is just a fact. How many dogs could have been FC, but due to the fact that they had a poor trainer. I read that hear all the time. So how many kids could have been doctors, but because of a poor teacher never took advanced math and science classes, but majored in English instead?