A consequence of describing electrons as waveforms is that it is mathematically impossible to simultaneously derive the position and momentum of an electron.
Its action, known mathematically as a harmonic oscillator, is similar to a pendulum swinging back and forth, or water sloshing back and forth in a tank.
Conversely, recent decades have seen the rise of new analytically, mathematically and computationally rigorous techniques, such as agent-based modelling and social network analysis.
A single drop of water issuing from a watering can, for example, can be modeled mathematically, but we would not attribute knowledge of that mathematics to the average gardener.