think of it like this.
if you stretched a 14 guage wire across a car battery, it would heat and glow, and burn in half pretty quick.
if you put a 1/4 inch rod across there it would got hot and turn red, but would take longer to burn in half.
the 14 ga wire has less resistance, so it takes less energy to heat it.
the 1/4" rod has high resistance, so it takes more energy to heat it.