He's talking about traces on the circuitboard. The solution is to make your connections at the points where the previous and following components join the board. So instead of cutting the trace and trying to solder a wire to the ends of the trace, you'd just attach one leg of your resistor to the last leg of the previous component in line, and the second leg of your resistor to the
first leg of the
next component. And cut the trace between them, since current follows the path of least resistance.
