An example I like is multiples of 9 using columns, since most children are quite capable of counting to 10. Plenty of great suggestions here, I would also recommend showing him some of the patterns that arise naturally through the tables themselves. I also heard once that the more senses you get into the educational process, the faster you'll learn it and the longer you'll retain it. Someone once told me "I hear and I forget, I see and I remember, I do and I understand". since multiplication is just repeated addition, you could show that one row of 3, added to another row of 3, is the same as 2x3. If the student does this on a board (or something moveable), you can then rotate it 90 degrees to show (visually) that 2 x 3 is the same as 3 x 2. For example, if it was 3 x 2, then place one row of 3 chips, then another row of three chips on top of it. One thought which may also help - if you have access to blocks, coins, poker chips etc (as long as you have at least 144 of them of the same size), try using them to visualize the multiplication problem. (It was actually for her, and she is an older "student") She said she found the card game "Peace" described here helpful. Someone had brought the page below to my attention within the last few days. (I'm posting under Comments instead of Answers since my background is in Secondary education, Mathematics)
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