32 year old Japanese here. I can unequivocally say I've never seen anything like this in my life.
Possibly the younger generations, but I somehow doubt it, as people are pretty slow to adopt completely new teaching methods.
Pretty cool though...
http://wsgfl2.westsussex.gov.uk/Aplaws/maths/multicultural/V...
Google 'Vedic multiplication'. Its all good because it is unusual here in the UK and it looks interesting.
However, don't think it involves the drawing of lines like in the post.
it was more through a sing-songy multiplications table nininga shi nisanga roku ..and so on..