The Tiger I was the main T-34 predator in the Russian battlefields during 1943-early 44.
When facing Tiger Heavy Battalions, the Russian odds were not 5 to 1, but 10 to 1 (from 20 September 1943 to 10 January 1944, the s.PzAbt.506 reported 213 Russian tanks and 194 anti-tank guns destroyed at a loss of 19 Tigers)!
However, Tigers were not indestructible. Many good tactics were already described in this thread, so I will only emphasize the core of the T-34 tactics against Tigers...
1.The Tiger is essentially an open field weapon.This means that if you are facing them in an open steppe, with little or none features that can enable you to sneak closer and closer to them, you are in trouble! But if you can get closer and make many T-34 fire at the same Tiger from the sides or better yet, from the rear, you'll have a reasonable chance to disable it and even to destroy it.
2.The Tiger's main asset is not its armor, but its gun. It was the combination of the thicker armor plus the effective range of the 88mm KwK 36L/56 that enabled the Tigers to dominate an open battlefield by being able to destroy his opponents from a distance where they couldn't harm it. So, what the Russians did were to do their best to negate the Tiger's firepower advantage, by getting as closer as they could without the Tiger's crews spotting them.
I hope this helps...
Fab
[ June 02, 2001: Message edited by: Fabio Prado ]