## The Setup

exponent_explorations.docx |

exponent_explorations.pdf |

- Follow the directions on the first slip of paper.
- Complete all directions on your large whiteboard.
- When you think you have it figured have me come and take a picture.
- Practice that rule with some basic worksheets.
- Move to the next rule.

## The Inspirations

**within the context of a clear and concise question. The question itself pushes students to work through the problem solving in a natural way (even if it is pure math not applied). I worked on these questions for awhile, to make sure that they put the students through the algebraic clarity but they also had a chance to play and punch numbers in their calculator.**

*teaching*(aside) This in my mind is also a less rigorous version of David Cox's fantastic lesson.

## The Context

## The Payoffs

What students LOVED is that they could work through it

*"at their own pace"*(KA buzzwords I KNOW, but still!). Students struggled through it, but it was set up in a way that was just out of their intuitive reach! The students who arrived at a^0=1 were very easily convinced of that fact, and because of that, I knew I had a winner.

## The Drawbacks

*convinced*of these rules, and they feel they are natural because they found them. The rigour can come later.