<<Judith said: ... They confuse cardinality and ordinality. ...>>
<<Tom sent this approach to counting:
P PP PPP PPPP PPPPP PPPPPP <-- Six groups of pennies.
Does it help to show a series of groups of pennies? That is to say, the first group has 1, the second group has 2, etc. If we count the pennies in the sixth group we can count up to six, and it doesn't matter what order we count them in. Etc. As I said, I am no expert at this, and both my kids seem to have picked up on numbers by watching Sesame Street.>>
This example works, Again I would emphasize that "six" refers to the whole group. A sweeping of the hand or a flashing of all 6 pennies. Electronically, I would highlight one, then two, then three pennies, etc. . This sets the idea that two refers to the highlighted pennies not just the secon one or the ones not highlighted.
What does "works" mean? If it refers to making clear the distinction between "cardinality" and "ordinality," I'm not sure I see how. Larry