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.
Thank you for your thoughtful comments Karmdeep. I agree that paying attention to Indigenous practices, such as gardening, can be a part of mathematics education that is that is connected to plants, insects, animals, weather, and more.
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