Origo Education [source]
" ORIGO was established in 1997 when co-founders James Burnettand Dr Calvin Irons identified the need to meet a growing demand for professional development in mathematics. With the vision of making a positive contribution to children's education, James and Cal began writing and producing mathematics resources from a makeshift office in James' home. Today, ORIGO provides a complete education solution to its customers by combining an innovative range of mathematics products with quality professional learning services. "
Some details here: http://www.origoeducation.com/developing-essential-strategies-for-computation/
So perhaps an abacus and marbles could be useful as tangibles, and/or in computer applications...
And this article is also very interesting: Math made easy - Thinking Strategies in Primary Mathematics
http://www.origoeducation.com/assets/pdf/MathsMadeEasyCM.pdf
There are quite a few tangible tricks in this article that could be cool to play with, perhaps using LEGO (?)