But claig, attendance and academic success are linked, just as talent and success are. The school has targets for attendance not just because it keeps the kids off the streets but because it does affect exam results. So why not encourage attendance?
I don't want to dumb down talent, but I don't want to praise a talented kid for phoning it in. I have said before, I will praise attainment that I think is the result of hard work and careful revision, because that is achievement.
I do praise talent too, btw, if I set a particularly tricky problem on the board and the talented kid spots a clever solution straight away, they will get praise for being quick. Or if I set a hard puzzle and they pore over it and figure it out when no one else could, then that is also praiseworthy.
"because I believe in praising everybody"
But you don't. You said you don't believe in certificates for all!
"But I would also ask you why you were giving such able students a sheet of simple additions, because I would worry that this may be dumbing down."
This is the nub of it. The test, to a very able student, may be easy. Like I said about my A-level maths experience, I found it easy, but there is no doubt that many, many other people found it hard, or even impossible. But you can't set the test for the very able student and to hell with the rest who have to sit it. Of course in lessons, the very able student can be provided with more challenging work to the rest of the class if necessary.
Whether that very able student should be accelerated through the curriculum is another argument!