Saturday, October 3, 2020

The Dishes Problem

"How many guests are there?" This problem is especially interesting to me because I worked for many years in a kitchen preparing food and when I was working at a hotel we would sometimes cook for parties of over a thousand people. It is not easy to keep track of guests and dishes, hotels have extra staff just for that, and the quantity to cook is always a debate in the kitchen. So I absolutely think that giving math problems context like this makes them much more interesting to students.

With algebra, this problem is not too tough. As I was doing it, I was trying to think of how to do it without algebra. What I came up with was that the answer would have to be a multiple of 12. That is because there was no mention of anything but integers. So there is exactly enough for each dish to be shared as it should. No one gets more or less than half, third, quarter of rice, broth, meat.

Knowing that the answer must be a multiple of 12, we can solve this problem using counting techniques instead of algebra. This requires estimating and checking your estimate. It may take longer than algebra for big number problems but for this problem not necessarily.

I absolutely think it is important to teach math from all over the world. Math history is a perfect example of how history is taught with a European bias so anytime we can break that tradition, it is a good thing. Ignoring the history or contributions of a group of people leads to “the other” mentality, marginalization and even oppression.

 

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Final reflections

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