1. Allows you to publish all the ballots afterwards so that any third party can do their own recount,
2. Allows voters to verify that their vote was counted correctly, but does not allow them to prove to a third party how they voted,
3. Allows voters to check before voting that the ballots have been correctly printed.
4. Looks and feels like a plain old fill in the bubble optical scan system to voters who don't want to take advantage of the extra security provided by the above measures.
Here's a paper about this [1]. Wikipedia article [2]. Here's a paper on the coercion resistance of that system [3].
[1] https://www.usenix.org/legacy/event/evt08/tech/full_papers/c...