How to Bake Cookies Without a Convection Oven?

I'm used to bake cookies in a convection oven and they bake well.

However, now I have a normal oven (without convection) and I am unable to cook them well:

The bottom of the cookies is burnt and the top is not enough baked.

I tried to put the plate at the top, the middle and the bottom of the oven and the result is always the same. I also tried to bake the cookies at a lower temperature, but the top of the cookies won't be enough baked.

What can I do to succeed in cooking cookies without a convection oven?

Thanks.