Teach the Controversy: Not really. The point is that science teachers should not be afraid to face controversy, if and when it occurs. Big mistakes were made dating the shroud. Should we refuse to explore that because this piece of cloth is also a relic? Avoiding controversy is not the solution to avoiding the teaching of controversy.
This Alaska teacher was either dogmatic in his skepticism or fearful or both. That is not science. That is not teaching.
The author clearly has no interest in teaching about carbon dating. His interest is bringing religion into the public school classroom.