(Quick link back to Introduction to Numberama.)
Here are some real-time videos of solutions to Numberama – Numbers Game, including a solution to the basic 1 – 18 and 1 – 19 layouts.
I find it useful to review solutions to random puzzles, as I often end up finding quicker solutions. This reveals Pattern Bias; when I decide on a strategy, I doggedly pursue the patterns necessary to execute the strategy, often at the expense of more-obvious patterns that have emerged.
Also, I considered that some might wonder whether I come up with an idea of how to solve the puzzle before recording, then start recording later to make the solution appear quicker than it was. In the interests of brevity, I tend to do this. However, for historical accuracy I included a video of three solutions in a row, in real-time (note the clock on the phone screen is visible).