Matt Thomas presented Exploding Dots.
February 17, 2011
Exploding Dots is activity for exploring some mathematical curiosities. We started by using exploding dots as a base 10 machine, and then extended it to other number bases. We even explored a 3 to 2 machine which works something like base (3/2). Taking these new ways of representing numbers, we explored how to add, subtract, multiply (by a single digit number), and divide.
The next activity was looking at polynomials in these machines. Using what we learned from 10 to 1 machines, we applied it to x to 1 machines. We explored new ways to represent polynomial addition, subtraction, multiplication, and division. We also represented well-known sequences with our new representation of exploding dots.
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| | | Matt demonstrated Exploding Dots. | Using dots to subtract | 3-digit numbers. Clifford and Silvia make | sense of the problems. |
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| Janice, John, Ron, & Deidre share ideas. |
Richard shares an insight with Matt. |
Polynomial dot operations. |
