I home educate two children. One can easily "rote" learn. The elder, who has special needs, simply cannot.
After reaching the point of just about giving up, I tested her learning style. She is a very visual learner. She now knows nearly all her times tables by using a booklet called "Memorize in Minutes". This has boosted her confidence enormously.
There are other similar products but basically they use pictures and stories for each sum. To non-visual learners they seem ridiculous, but for her, they really work.