(Oddly enough, my childhood intuition about equals signs isn’t historically accurate—the equality is actually supposed to be represented by the equal length of the two strokes.)
(Oddly enough, my childhood intuition about equals signs isn’t historically accurate—the equality is actually supposed to be represented by the equal length of the two strokes.)
It took me a long time to differentiate the symbols because, before using the alligator metaphor, my teacher tried this one: cross a line that goes perperdicular to the bottom part of the symbol. If it turns into a 4 it's smaller than; otherwise, if it turns into a 7, then it's bigger than.
I remember seeing a "5 < 8" and thinking "ok, I know which number is smaller and which one is bigger, and I know how which symbol is named, but which one should I use?" For some reason it wasn't obvious to me that I should read the assertion from left to right. I just saw two numbers and I didn't know if I should indicate that one of them was bigger or that another was smaller—both assertions were true. I remember having a list of exercises to do as homework and just circling the bigger numbers in frustration.
When I hearded the alligator metaphor, however, I got it instantly.