Introduction to Algebra

Are there similarities between algebra and Native war record robes?

War Record Robe

This morning we looked at pictures and learned more about the counting coup concept. These war robes and coup sticks were worn by Native warriors (especially from the Plains) as badges of honour, showing the history of their prior battle actions. The more dangerous the action, the more prestigious the coup.

Counting Coup Stick

If you think about it, the robe and the stick are just story-telling devices that group together: a) different symbols representing the elements of the story, b) the actions taken, and c) the consequences of those actions. We found that we can relate these ideas specifically to: a) numbers in a math equation, b) the operators, and c) the results. (This idea was modified from an Australian aboriginal study.)

In class, students drew up several stories using their own meaningful symbols. For example, one student recounted the events of last week's full moon ceremony using just a simple addition story. It contained people coming in from different communities, a full moon and stars, as well as items needed in the ceremony (for example the water and drum). Another student commented how similar these picture stories are to the ancient Egyptian tombs, recounting the histories of the kings with hieroglyphs.

From a mathematical perspective, these stories are important for us to analyze. You might recognize that taking away an element from the story will change the story's consequences -- much like in a math equation. We explored different ways of compensating for making a change, much like you would do in algebra.

For example, if we have the equation 3 + 4 = 7 and we change the 4 to a 2, we tried to find different ways in which we could do something to the story to compensate for the change. (We came up with four ways -- how many ways can you come up with?)

Joke: What kind of clothing does a mermaid wear? ... An algae-bra! 

After the break, we played a counting game with 12-sided dice and Monopoly money. Everyone started with $20 and we took turns rolling the dodecahedra. Integers between -6 and +6 are on each die: a negative roll meant we had to give away that amount; a positive roll, we were given it. Rolling two together meant we had to solve the overall value first!

Dodecahedron: a polyhedron with 12 flat faces

 After a few rounds, we had to start keeping track of IOU's, a perfect example of how negative numbers work in business. We found that negative numbers and subtracting are similar concepts (but they don't always lead you into the hole!).

Tomorrow we'll continue our algebra introduction with some more activities...

Posted by Karen