If I were teaching a youngster about addition, I would use
tallying.

In other words:

   2 + 3

   * * added to * * *

   * * * * *

  (count them)

   5

Similarly for multiplication I would make rectangles and tally their contents

If I was teaching someone with hopefully some familiarity with arithmetic
I would not go so slow and carefully over the concepts as I would with
a child, but perhaps  something like this could be used for these animations?

FYI,

-- 
Raul
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