how to use lattice method?

Answer 1

That method of multiplying numbers is explained quite well here:
http://mathforum.org/library/drmath/view/52468.html

Answer 2

I pains me to see that some areas of the US are still pursuing many of these debunked "reform math" methods.

By now surely every math educator must have seen the hundreds of clips such as these youtube clips that show the deficiencies of such algorithms.

http://www.youtube.com/watch?v=Tr1qee-bTZI
http://www.youtube.com/watch?v=ymvSFunUjx0&feature=related