I was curious about the partial product and partial quotient methods so I watched a few videos explaining the methods. The partial product method looked like the method my son learned for doing double digit multiplication mentally. The partial quotient method looked like too much writing. My 11 year old son would much rather do mental math anywhere he can because he has motor dyspraxia and writing of any kind slows him down. He likes to use his own partial mental math method when he does math of any kind.
I had to let him figure out how to compensate for his dysgraphia when we tried everything that other people suggested for the lining up columns in multi-digit multiplication and division. He didn't like using graph paper. It seems to work best for him to figure it out how to compensate for the writing disability on his own. For him, Life of Fred and mental math books are working well.
