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Main Question or Discussion Point
Out of curiosity, is it the case that math is taught in the typical sequence in the order for which it was discovered?
Of course not. Just look at how you are taught to count very early on: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ... What's that "0" thingy? The basic concept of counting is very, very old, most likely predating writing. The concept of zero as both a number and as a placeholder is only 1400 years old or so. Next you are taught bits of algebra (1000 years old), then geometry (2300 years old), then more algebra, then calculus (400 years old). Note that the way you are taught calculus is not the way it was originally discovered. Somewhere along the way you are taught to use vectors, which is only 100 years old.Out of curiosity, is it the case that math is taught in the typical sequence in the order for which it was discovered?
Not a big matter but people are typically taught to count starting with "1", NOT "0"!Of course not. Just look at how you are taught to count very early on: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ... What's that "0" thingy? The basic concept of counting is very, very old, most likely predating writing. The concept of zero as both a number and as a placeholder is only 1400 years old or so. Next you are taught bits of algebra (1000 years old), then geometry (2300 years old), then more algebra, then calculus (400 years old). Note that the way you are taught calculus is not the way it was originally discovered. Somewhere along the way you are taught to use vectors, which is only 100 years old.
Teaching any of the sciences or technology in the order in which they were discovered just doesn't make sense.
That's not how I typically taught my children. They learned to count to the Apollo launch sequences and worked towards zero!Not a big matter but people are typically taught to count starting with "1", NOT "0"!