The sheer number of cognitive distortions that have gone into the reply’s to my original post are mind numbing.
In referencing the “panic zone” I was talking about a concept created by Carol Dweck in her book “Mindset” . She talks about the three zones of learning 1. the comfort zone 2. the learning zone and 3 the panic zone.
I never said I was panicked. I found myself in the concept of the panic zone without enough information to solve the problem.
When I teach, I am a certified teacher, I now look for signs that a student has crossed over from the learning zone to the panic zone. It is usually because of incomplete information, misunderstanding etc… In children the panic zone often looks like a discipline problem or disengagement. It then becomes my job to get them back to the comfort zone and then encourage them to go into the learning zone better equipped.
Understanding the concept of a function is not the same as knowing everything about it. Children easily understand the concept of multiplication, but they may not remember all the multiplication facts for months or years.
If you look at the penultimate sentence in my original post you can see that what I am talking about is filling in the gaps of FCC, not my personal problems with functions. That is where I had hoped responses would be focused.
How to tell if you have created an educational gap. Easy. If you ask a question and the answer includes something you have not explicitly taught you have a gap. Gaps are like cavities, they are meant to be filled with solid material.