What+Could+Mathematics+Look+Like+...?

1) What could mathematics itself look like as a human endeavour if it is assumed that learners have access to powerful tools via the internet?

Mathematics as a way of making sense of phenomena could lead to analysing models and model construction as the core of the curriculum.

Tools can be used as the source of phenomena, to explain output in terms of input.

Using tools accessed through the web can be problematic: sometimes (often?) the output of a request (especially such as solve an equation, or expand an expression) is far too long and complex to deal with. Thus the importance of developing ways of working on mathematics in general and the outpus of tools in particular.