I thought I knew how to tie shoes correctly until Mrs. Everson told me about this video about two months ago.
I'm an old dog, but willing to learn some new tricks. I tried the method she described and WHAT DO YOU KNOW? it did work better, much much better.
It's all about which way you wrap the laces when making the bow. I'd been doing it exactly as I had been taught: the wrong way. Once I switched, my laces stayed tied without any need for a "double knot" tying the lace loops again.
Watch this video to learn the secret if you don't already know.