Recording your moves in scorebook or game journal is a good idea for multiple reasons. Keeping a record of your games is not only required during rated events, this record is a great way to recall and replay your games for reviewing and sharing with a coach or friend.
You can even enter your games into an electronic database and replay them on a computer.
Learning chess notation is a basic and essential skill. If you'd like some tips, see this article on chess notation.
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