Re:Why Do We Still Teach People to Calculate?
by wongarsu on Monday June 24, 2024 @05:37PM
(#40781110)
A pile of apples (or a stack of one dollar bills) would make a pretty natural introduction to the Peano axioms, and from there the basic mathematical operations.
- A pile without apples is a pile of apples. We call it the empty pile.
- The successor function is to add an apple to the pile. Apply the successor function to the pile of apples and you still have a pile of apples.
- A pile of apples is as large as itself
- If the left pile has as many apples as the right pile, then the right pile also has as many apples as the left pile
- If you have two piles of apples you can add them by checking if the second pile is empty. If it is empty you are done and the result is in the first pile. If not take an apple from the second pile and add it to the first pile. Then check again and repeat
And then you can teach him about the bijection between money and apples. After a little more set theory you can start constructing two piles of apples, one representing what you have one what you have to give away ...
- A pile without apples is a pile of apples. We call it the empty pile.
- The successor function is to add an apple to the pile. Apply the successor function to the pile of apples and you still have a pile of apples.
- A pile of apples is as large as itself
- If the left pile has as many apples as the right pile, then the right pile also has as many apples as the left pile
- If you have two piles of apples you can add them by checking if the second pile is empty. If it is empty you are done and the result is in the first pile. If not take an apple from the second pile and add it to the first pile. Then check again and repeat
And then you can teach him about the bijection between money and apples. After a little more set theory you can start constructing two piles of apples, one representing what you have one what you have to give away ...
The possibilities are endless.