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Comment Another thought in this space (Score 1) 677

For folks interested, another interesting view on mathematics teaching is in the book "Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States" by Liping Ma. It's very thought provoking. It doesn't persuade me to any particular solution, but definitely gives me more data to think about how we teach people things like mathematics.

Comment Re:Uh, what? (Score 1) 733

That I don't disagree with. It depends on what one considers "free will". I think that without an agreed upon definition of what these words (free will, determined) mean, it's not very useful to say one or the other is or is not involved. I think the original article is suggesting that "free will" is the same as conscious awareness of some decision. By that self-declared definition, then of course they are right that there is no free will involved, because they've defined "free will" as conscious awareness of the decision. Since unconsciousness is not consciousness, then by their definition it can't be free will. I don't have the same definition, so I don't agree with the way they phrase their conclusion.

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The computer can't tell you the emotional story. It can give you the exact mathematical design, but what's missing is the eyebrows. - Frank Zappa