Conduct this excercise with your class, group, or plenary.
1. Think of any three DIFFERENT single-digit integers (0,1,2,3,4,5,6,7,8,9)
2. Let a = the first number you thought of;let b = the second number you thought of; let c = the third number you thought of;
3. Let the single-digit integers you thought of (in order) = a b c
4. Now reverse the order of numbers = c b a
5. Next subtract the smaller three-digit number from the larger:e.g. a b c - c b a (if: a b c > c b a); or the reverse (cba-abc) if c b a > a b c
6. Let a b c - c b a = d e f
7. Next add the individual integers of the result d + e + f = ?
NOTES TO FACILITATOR:
1. First students will say this is “magic” and you note there is no suchthing as “magic” only illusion;
2. Next students will say “How did you do it?” and you answer “You tell me”.
3. Next students will say try another three numbers? You do it and againcome up with the same number…
4. “Students will say now we KNOW how it is done; it is always…” and I’llsay “Yes you may know HOW but do you KNOW WHY is is always…?”
5. Next you show the proof:
a b c- c b a_____________
1. Since a b c are three DIFFERENT singe-digit integers;
2 Since a b c > b c a
f = c + 10 - a (when a > c then c - a = c + 10 -a)
Adding d + e + f across we get + a - a; + b - b; + c - c;10 + 10 -1 -1 = 18
OR ANOTHER WAY TO EXPLAIN
1,2,3 now reverse 3,2,1; next 321 -123 = 198 and 1 + 9 + 8 = 18
and even with 0
4,6,0 reversed 0, 6, 4; next 460 - 064 = 396 and 3 + 9 + 6 = 18
“This is a great exercise for showing how institutions prescribe andproscribe laws, rights, responsibilities, constraints, hidden logic andagenda, relations, values, myths, traditions, power structures, taboos etcso as to condition, reinforce, predict and manipulate human behavior individually and in the aggregate.”
Then you go into a whole thing about how you got them to accept the basic rules and premises of the illusion and from there the rest was easy and quite predictable.
The facilitator then goes into discussions of Social Structures of Accumulation (SSAs) which are dynamic complexes of interrelated politico-legal, sociocultural and economic institutions, relations andstructures related to the epxanded reproduction of capital and capitalism. Also go into the Stanley Milgram stuff on obedience of authoritarian premises, structures, games etc with little critical thinking or asking why?
2) Multiply the integer Z you thought of by 9; Z times 9 = XY (two-digit number)
3) Add the individual single-digit integers X + Y = B
4. Subtract 5 from B = ?
5. Think of a letter of the English alphabet whose position in the alphabet corresponds with that number of B - 5
6. Think of a country whose name starts with that letter (usually it is acertain European Country)
7. Think of the last letter of the name of that country
8. Think of an animal whose name starts with the last letter of the name of that country
Hint: letter K is commonly is an animal found on only one continent.
The second exercise, any single digit integer other than Zero, 1-9 when multiplied by 9 yields a two-digit integer (except 1 which yields only 9)that when the individual single-digit integers are added up, they all yield 9 (9 x 2 = 18 or 1 + 8 = 9; 9 x 3 = 27 or 2 + 7= 9; 9 x 4 = 36..
The 4th letter of the alphabet is D and most people think only of Denmark and not say Dominican Republic, Djibouti or Dominica and the last letter of the name ofthe country K, most think of a kangaroo and not say a Krait. This can be used as a test of eurocentric thinking or awareness.
This is a card trick based on Set Theory. I use it to show how hidden algorithms in data or card sets can work like hidden agenda: They prescribe relationships, formulae, operations and steps to be performed leading to predetermined and discoverable outcomes.
1 Take a deck of playing cards with 52 cards (Jokers and Instructions Cards Out)
2. After thoroughly shuffling the cards, start turning the cards face up, each card face up on top of the previous card turned up. You will be forming separate piles of cards.
3. Each pile of cards is formed in the following way. Suppose you turn up a four of clubs. Ignore the suit of the card. Now mentally, start counting cards from 4 upward with the first card, a four face up then pile on top of it cards (numbers and suits do not matter) 5,6,7,8,9,10,J,Q,K up to King. So if the first card was a four then you should have a pile of 10 cards including the four card. Then turn the pile of cards (as you turned them up) over face down to forma separate pile.
4. Suppose your next pile is formed by first turning up a Jack of whatever suit. Then you would think Jack, Queen King (each time counting up to King) in that case you would have three cards in that pile including the Jack. Then turn over the cards face down to form another pile. And lets say another pile is formed by first turning up a 6 of hearts (suit doesn’t matter) then count the next cards starting with the six as 6,7,8,9,10,J,Q,K so this pile should have 8 cards including the six. Then, again, turn over the cards (always keeping the order in which you turned then face up in place as your turn the whole pile over face down. If you turn up a King, then that card forms a pile alone.
5. If you are turning cards face up and mentally counting them and if your last pile does not have enough cards to reach up to a King, then leave it as a pile on which you will throw the other cards gathered up leaving three piles of cards.
5. Next, tell the people watching the trick to gather all the piles of cards up except any THREE piles of their own choosing and that you will leave the room as they decide which piles of cards to leave and which to gather up (to be placed on the pile of cards that did not have enough to count up to a King). Also gather up the piles with a lone King in it. Also tell the participants that they may move the piles of cards so that you do not know which they took and which they left, but, if they do move the piles of cards spatially, then must move the whole pile (show them) in tact without disturbing the order of cards in the piles remaining or the pile being moved spatially.
6. Next tell them to leave THREE piles and gather up the remaining cards and place them on the pile that could not make a full set or pile of cards adding up to a King. Then shuffle the cards over and over. Note to the participants that there is no way you could know which of the many piles of cards they left and which they gathered up.
7. Next ask them to turn up the top card on two of the three piles of cards noting that not only could you not know which cards they left and which they kept, but you could not know before hand which two of the remaining three piles of cards they would select to turn the top cards face up on.
8. Next, suppose the top cards on two of the three piles of cards are a 7 of clubs and say a Jack of Hearts. Add the two values of those cards together or 7 + 11 (Jack is the 11th card, Queen is the 12th and King is the 13th) = 18.
9. Now ask the participants to thoroughly shuffle the large pile of gathered up cards. Start counting the cards gathered up starting with 18 (7 + the Jack of the two piles with top cards turned over). Next add another ten (all of this is done mentally). Whatever is left over (number of cards remaining) after 18 + 10 (always 10 added to combined values of top cards of two of the three piles turned up) is what the top card in the third pile (not yet turned over) is. So if you count 18, then another ten, and if, after all of that, you have say 8 cards left, then the top card of the third pile is an 8 (of some suit) and so on.