The class began with an activity about "strange arithmetic." Students chose or made up a planet, figured out how many hours are there in a day on that planet, and gave their planets names. Next, the students presented their projects to everybody. Anne created a planet named "Plutoagusmustardchefmacaroni," and presented the class with her mathematical scheme; her planet only had one hour in a day!

The class then explored the field of numerical exponents. Students listened to a story about a wise man who did many good deeds for his king and country.

The king said that as a payment, he would give the wise man anything he wanted as long as it was reasonable. So the wise man placed a penny on the first square of a chess board, two cents on the second square, four on the third square, and asked the king to give him as much money as this "doubling rule" would require to fill the entire board. The king thought the proposal reasonable, but he soon found out that this wasn't such a good idea!

The afternoon session went somewhat differently than the morning. The morning class was more computational and afternoon class was more geometrical. In the afternoon, students started by making objects with a different number of sides and edges. This was a lot of fun. The biggest challenge turned out to be to make an object with no edges (in the topological sense of the word). Natalie made a cube, and Jenny made a closed cylinder, while Wade demonstrated his empty hand (that contained an object with no sides or edges).

Students then talked about dimensions in mathematics and the rest of life. Maria presented explorers with a book written more than a hundred years ago about this topic. The afternoon class really enjoyed discussing dimensions, especially when Maria explained what an alien would see if a human walked into the fourth dimension. She explained that if someone came from the fourth dimension they would be able to see the inside of anything they wish, i.e. a closed safe, the inside of a computer, or inside of a human.

"This class [today] has been a great experience for me and I have learned a lot," said Ben, one of the math explorers. "This exploration class was one of the best ones," commented other explorers. The explorers learned several new ideas and strengthened many of their mathematical concepts.