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Sep 2, 2016 at 7:43 comment added Tommi @JoeyKramer Executing an algorithm can lead to further insight to its working, in my (unreliable) experience. It is the difference between seeing something happen and doing it yourself. (I don't think the comments here are a good place for having this discussion.)
Aug 26, 2016 at 13:11 comment added Joey Kramer @TommiBrander I'm not saying that it isn't beneficial to do it by hand at the beginning of learning a thing. But once they understand how to graph and what a graph is, why keep doing it? I would think that the underlying concept of what dividing the argument by 2 (f(x/2)) is doing to the graph is much quicker to reach (and is really the meat of the math in that situation) if we graph them on a computer/calculator.
Aug 25, 2016 at 6:11 comment added Tommi @JoeyKramer Doing it by hand might help in understanding how to draw for example $f(x/2)$ or $f(x+2)$.
Aug 25, 2016 at 3:16 history edited JTP - Apologise to Monica CC BY-SA 3.0
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Aug 25, 2016 at 1:33 comment added Joey Kramer At the very beginning of learning graphs that may be true. But once a student has a grasp that a graph represents all possible solutions to an equation, why would it still be a benefit to graphing by hand as opposed to digitally?
Aug 25, 2016 at 0:36 history answered JTP - Apologise to Monica CC BY-SA 3.0