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The impact computers may have on mathematics education comes from the fact that they open new areas of study and allow new approaches to old problems and thus may greatly influence a student’s image of the nature of mathematics…When a mathematical problem is approached with a view towards using a computer in its solution, the situation is very similar to that of an experimental scientist in a laboratory experiment:

…Looking at data
…Formulating hypotheses
…Checking both data and hypotheses
In this latter disguise, mathematics is much more accessible to many students who may be turned off when the subject is presented to them in more abstract ways.

Jurg Nievergelt
1975