When you try to get someone's attention (the intended consequence), you might wave your hand, lift an eyebrow, cough gently, or just call out "Hey you!" These behaviors have very different structures, but the same function. In a way, just as the many nature-nurture factors always work together, so do structural and functional factors.
Structure includes shape, color, intensity, timing, etc.: the "what" questions about something. What is Ellie doing? Running at quite a clip, and we can measure what her speed is. Function deals with the "why" questions: Ellie might be running for a train or training for a run, for example. Same structure, different function. You get the idea. Any behavior influenced by consequences has structure, and so do signals for consequences.
OK, so where do Asian numbers come in? In his book Outliers, Malcom Gladwell noted that the Chinese number system, to take one of several examples, has a more logical number naming system than does English: no irregular names like "eleven." The numbers are also shorter to say, making it easier to remember a series of numbers. (Imagine if instead of "one," "two," "three" we had to remember "shigaroomph," "taranug," and "froomjokey.") These are structural features. Given comparable consequences and (relatedly) motivation levels for learning numbers and doing mathematics with them, it would be surprising if there weren't any advantages to the more logical system, especially during initial learning. The same principle applies to the format of the numbers themselves. How many people would be willing to enter a math contest if handicapped by having to use Roman numerals? How long does it take to decipher dates in Roman numerals on historic buildings? (Do architects still follow this practice? . . . If so, I wonder about the function!)
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