Did Jesus teach reincarnation?

Elijah was supposedly taken bodily into heaven, so no reincarnation would be necessary for his return.

Well all this only confirms what I pointed out. It is entirely possible that the return of Elijah was thought to mean a simple bodily return from Heaven without any need for a new incarnation.

If Elijah did not die, then he had no need of reincarnation - his original incarnation would still exist. So the other part of the question is whether it was meant literally or not.Although it must also be said that relying on John to accurately portray Jesus' teachings is a bit odd if you genuinely consider it untrustworthy.And as a side note, the original reference to Elijah's return does not sound an awful lot like John the Baptist, and somewhat ironic given Matthew 10:35-36