Position your fingers on the neck. The dots on the chords represent where you should hold down your fingers on the neck. For instance, an A major is played by holding down the string on the second fret on the 2nd, 3rd, and 4th string. An E minor is played by holding down the second fret on the 5th and 4th string. Hold the strings down until they are pressed against the neck of your guitar.
Learn how to transition to different chords. One way to become proficient quickly is to learn how to transition between the various chords quickly. These transition periods are often the hardest for beginners to play when they are starting off. The more you practice between switching to different chords, however, the better you'll get at doing it in songs. Practice switching between open chords like G, A, E, and C. 
Now I know you might be confused by this diagram, so let's take a moment to explain it. First off, the top of the diagram corresponds to the nut on your guitar, that's the part where the strings end, farthest from your body. Left to right, the strings are 6,5,4,3,2,1. So as you look at the diagram, the string on the left is actually the 6th string on your guitar, the low E string.
I love love love these guitars. No gimmicks. They are pure class (but are capable of absolute fury!) :) Think a Telecaster can’t rock? Johnny Greenwood respectfully disagrees. Check out Bonnie Raitt using a Strat to lay down some nasty slide licks. SRV nearly tears the strings off his Strat. Would you prefer something a little funkier? Here’s Prince playing the greatest guitar solo of all time on a Telecaster.
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To get good touch in your strumming hand, it’ll take longer than 10 hours. It’s about reps. Try to consider the amount of finesse you are hitting the strings with. Do a little research on palm mutting and other useful strumming techniques. If it sounds nasty at first, that’s cool. Your fingers and wrists will start to adjust. Focus on getting quality sounds out of the guitar.