I'm worried that in presenting math with visible, tangible intuition dominant will do more to silo the knowledge inside the ivory tower.
N-variable calculus isn't something that you can draw a picture of. Lots of (very practical) Linear Algebra is derived from the pure "Linear Transformation" interpretation rather than the "Matrix" one. Stochastic...anything (seems to be all the rage these days) is not made with helpful pictures.
If we train people to do math in a non-abstract way, they won't be as easily able to grapple with the real problems, which are only approachable in the abstract.
I disagree, at least that pictures can't help with higher dimensional math. Well, regular pictures may not help so much but interaction really can. A lot of my understanding of higher level math depends on my programming ability to "touch" some of the abstract concepts.
When learning something new you need to be able to associate the new concept with things you already understand, and visuals can give you an intuitive sense of how things are behaving (especially in time)
I don't think the visuals could necessarily take the place of training to use the abstract symbols or lines of code any time soon, but I think they are a really necessary step in the right direction to get more people to approach math.
N-variable calculus isn't something that you can draw a picture of. Lots of (very practical) Linear Algebra is derived from the pure "Linear Transformation" interpretation rather than the "Matrix" one. Stochastic...anything (seems to be all the rage these days) is not made with helpful pictures.
If we train people to do math in a non-abstract way, they won't be as easily able to grapple with the real problems, which are only approachable in the abstract.