Doolittle: Off the grid

After reading this article, my first stop was that we are so obsessed with grids that we are following the same structures and schedules again and again instead of seeing its failures. But this is not the same with Indigenous cultures, they are not so obsessed with the grid. They have their own natural ways of understanding the situations. It is very important for us to understand that one can tackle some of the failures of the grid but one can not change everything according to himself or herself.

We are only teaching Euclidean geometry in the schools, but there are some other ways as well those can be used to teach concepts in geometry and algorithm. For instance; Knots which is ancient Indigenous tradition of string figures and it is related to three-dimensional geometry of space.
I really like the indigenous people's agricultural tradition of farming without using clocks and calendars and also their definition of territory. Indigenous people like to go with the flow of nature instead of trying to take everything under control. There are a lot many things one can learn from indigenous culture.

We should look beyond the fixed grid and try to see the situation from different perspectives, and should also use alternative geometries, geometries of liberation into our math classrooms.

The wine and rat puzzle

Rat 1 drinks 1-100
Rat 2 drinks 101-200
Rat 3 drinks 201-300
Rat 4 drinks 301-400
Rat 5 drinks 401-500
Rat 6 drinks 501-600
Rat 7 drinks 601-700
Rat 8 drinks 701-800
Rat 9 drinks 801-900
Rat 10 drinks 901-1000
one of them must be die, and the bottles remains to test would be 100 now
Rat 1 drinks 1-10
Rat 2 drinks 11-20
Rat 3 drinks 21-30
Rat 4 drinks 31-40
Rat 5 drinks 41-50
Rat 6 drinks 51-60
Rat 7 drinks 61-70
Rat 8 drinks 71-80
Rat 9 drinks 81-90
Now there are two possibilities, if the one of the rat dies drinking these bottles then there are only 10 bottles to test, otherwise the poison is in remaining 10 bottles
If the rat dies, there are 10 bottles to test again
Rat 1 drinks 1st bottle
Rat 2 drinks 2nd bottle
Rat 3 drinks 3rd bottle
Rat 4 drinks 4th bottle
Rat 5 drinks 5th bottle
Rat 6 drinks 6th bottle
Rat 7 drinks 7th bottle
Rat 8 drinks 8th bottle
we have two remaining bottles, if one of the rat dies than it is clear which bottle is this. otherwise 2 rats can taste remaining bottles and we can check which bottle is poisoned.
This same phenomenon could be used to check the second possibility.

Unit plan and lesson plan: Draft 2

https://drive.google.com/open?id=165DAdZr1mx2MOtG5bQbKKXTZzIh3pySE