Growing up I was taught math in the traditional way. The teacher gave me some symbolic notation such as 1/2 * 1/4 and then gave me a step-by-step process to follow to the solve the problem, and then we moved on to the next thing with more notation and procedure. At ANI they present how that should be just one of three approaches. We need to add in visual models and real world situations and experiment with starting in one of those modes instead.
Attached is a worksheet "Operations with Fractions" that asks the student to make pictures out of fraction problems. Take a look, give it a try and reflect on how it goes.