Hi all,
I found a new job, and quit my current job, gave company 2 weeks notice, but they said I need 3 weeks notice.

in my employment contract, there is:

"two weeks notice must be provided in the first year, and one additional week for each subsequent year worked."

I don't understand what this mean, could anyone please help to explain this.

I worked 1 year and 3 month, do I really need 3 weeks notice?

If I dont give them 3 weeks notice then can they may give a poor reference in the future; at that point I would sure for defamation.