No, it isn't and yes, you are correct.
Absolutely correct.
In a situation where the kids are leaving for school, mother should say ' Don't forget to take your books'. As the kids are going, the paired verb take is used.
You can imagine why I'm puzzled when, not once but many times I've heard American tv characters say ' Don't forget to bring your books', and, to a person about to go home, 'Bring this cake home with you'. At first I thought it was a script error, then I heard it again and started listening carefully. Numerous times I've heard this incorrect use of 'bring' and came to the conclusion that it must be some American colloquial use that I had previously been unaware of.
Normally I wouldn't bother and write it off as ignorance, but presumably the scriptwriters are reasonably well educated and I can't find a reason why they would mix up bring and take, other than it being a commonly accepted form. If so, I'd appreciate an explanation.
Another widely heard tv show expression that bugs me is ' reach out ', I really dislike that term. What happened to 'contact' or ' speak to' ?