Where Do We Draw the Line With Technology in Math Education? - 1 views
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Critically, pushing around symbols on paper is just a symbolic representation of the real math taking place within one’s head. When one does a calculation, whether it is by hand or by machine, an important feature of whether or not one can be said to be doing the calculation is whether or not one can predict the potential output from the algorithm, or if one understands the process they are using.
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We also require, as a system, much more flexibility in the mathematics taught at the K-to-12 level. I’d like to see a system where many different types of mathematics are taught besides just the standard hierarchy leading to calculus.