Some of the opinions on this thread are utterly depressing.
No, I would NOT be happy with this, not for my child and not within my school. For whoever said teaching year 3 is easy-piss off. Whoever said anyone can teach EYFS, also, piss off. Just because any idiot can stand in front of a class of kids and rabbit on, it does NOT mean that those children are receiving a good education, or making progress. Teaching is not just walking in and imparting knowledge on children. These children are usually at wildly varying levels, with wildly varying needs.
Yes, some TAs can and rightly should become teachers, if they so wish. No, not every TA could be a teacher. This person doesn't have a degree, does she have A levels? What is her basic standard of grammar, of maths?
I hate what has happened to my profession. Would you let someone with GCSE maths do your accounts? Biology A level-hey, you can be a GP! What about Law at A level, should you be allowed to be a solicitor as you 'train on the job?'
I trained on the job. I had an English degree, and a post grad law qualification, and then I worked in a school for a few months. Then, I started my training where I did not have my own class but worked alongside my very experienced mentor. I studied, and went to uni every fortnight. I'm a bloody good teacher, and I became a good senior leader. But I resigned, because I'd had enough of the bullshit 