Card Trick Four by Four array to demonstrate Conceptual and procedural understanding and the implications for Teaching and Learning |

Magic or Mathematical?

I invite you to view this video and see if you believe magic, slight of hand, or mathematics is being used to perform this card trick?

View the video and see what you think!

Magic? Slight of hand?

or

Mathematics?Explain and demonstrate the trick.

Will it work for a five by five array? Why do you believe the way you do?

Will it work for a six by six array? Why do you believe the way you do?

Will it work on any size square array of cards?

What about a million by million array of cards?

Remember that is 1 000 000 000 000 cards!Will the same procedure work for an array of cards that is a rectangle 3 x 5 or 5 x 3?

Why do you believe the way you do? Can you think of a way to make it work, if it doesn't?Will the same procedure work for an array of cards that is a rectangle 3 x 7 or 7 x 3? (7X3 card trick see video)

Dr. Robert Sweetland's Notes ©