a mediocre spear wielder usually beats a good swordsman.
are you on crack?
The spear is a fearsome, flexible, and often underestimated weapon. It outranges the sword, it's very fast in the attack, and straight stabs with a spear are almost impossible to parry well with a sword blade. The spear wielder can retract the point and repeat the attack much faster than the swordsman can swing the blade through a parry. In addition, most fighting spears have butt spikes and can be used with both ends to good effect.
You really have to try it for yourself and go up against a spear-armed opponent just for the educational effect.
If the spear wielder has even a moderate amount of skill with his weapon, it would take a pretty good swordsman or three to get the better of the spearman.
A spear is a very bad choice for facing a double-edged sword. Reason: The shaft is light wood, the swing of a gladuis or Xiphos or Spatha or knightly longsword would have split in half. After which, the spearman is toast.
Hardly. Spear shafts were, and are, not made of light wood, but rather very tough and durable wood types that offer a surprising amount of resistance to a glancing blow from a blade. Besides, even if this was not so, the mechanics involved are nothing like chopping a spear-sized stationary stick in half with a sword.
For edification, use your favorite sword blade and try to hack a friend's broomstick in two while he's holding it in a fighting stance. Physics are not on your side. Now have your friend duct tape a Sharpie to the end of the broomstick and see if you can hack the broomstick in two before you get a mark on your shirt.
Unless your broomstick-armed friend is a slug on Thorazine, you'll get marked many times over before you can damage even a lowly broomstick enough to make it snap.