Obviously, you can't improve at Skewb if you don't know how to solve a Skewb. So here's a beginner's tutorial to get you started:
Step by Step Instructions on How to Solve a Skewb:
Step 1: Make the White Layer
Step 2: Solve the Yellow Corners
Step 3: Solve the Yellow Center
Step 4: Solve the Middle Centers
Step 1:
To make the white layer, there are 2 substeps:
Substep 1: Permute White Corners
Substep2: Orient White Corners
To permute the white corners, first hold the white center on the bottom. Then, look for a white corner in the top layer. Hold it in the top right front spot like this:
Then determine if it has to go to the bottom right or the bottom left by imagining any corner in the bottom layer already is oriented. Then, determine if the color that matches between the two corners is on the right side or the left side. If it's on the right side, put the corner in the bottom right spot (you will learn how in a moment). If it's on the left side, put the corner in the bottom left spot.
Since the bottom front corner has blue on the right and there is blue in the top front corner, the top front corner will go to the right.
To insert the top front corner to the bottom right or bottom left, you will turn either the top right or top left corner. If the top front corner has to go to the bottom right, turn the top right corner counterclockwise. If the top front corner has to go to the bottom left, turn the top left corner clockwise.
Turn the top right corner counterclockwise
If no corners are on the top, pretend that one of the yellow corners is a white corner and insert it into one of the spots. This will put a white corner on top.
To orient the white corners, find one that is misoriented and hold it in the bottom front.
Then do this short algorithm: First, turn the top front corner counterclockwise. Second, turn the top right corner counterclockwise. Third, turn the top front corner clockwise. Last, turn the top right corner clockwise. If this does not work the first time, repeat. Repeat for all four corners.
Video Form:
Step 2:
To Solve the yellow corners, there are 3 cases. There is peanut (2 corners solved, 2 corners misoriented). There is pi (all corners misoriented). And there is skip (all corners oriented).
peanut
pi
skip
To solve skip... you don't do anything.
To solve pi, hold it so that the two corners that face the same direction are facing to the right. Then do an algorithm called sledge: First, turn the top right front corner counterclockwise. Second, turn the top left front corner clockwise. Third, turn the top right front corner clockwise. Last, turn the top left front corner counterclockwise.
sledge
To solve peanut, hold it so that the yellow on the right misoriented corner is in the front right. Then do sledge. This sets it up to pi. Solve pi as shown above.
Step 3:
To solve the yellow center, there are only 2 cases. There is skip (the yellow center is already solved) & there is when the yellow center is on the side.
skip
Yellow Center on the Side
To solve skip... you don't do anything.
To solve yellow center on the side, hold the yellow center in the back and do sledge. Then rotate the puzzle on the y-axis twice so the yellow center is in the front. Then do sledge again.
sledge
y2
sledge
Step 4:
To solve the middle centers, there are 2 (technically 3 but 2 of them are solved the same way) cases. There is UPerm (when one center is solved and one is opposite) & there is when no centers are solved.
UPerm
No Centers Solved
To solve UPerm, hold the white and yellow centers on the left and right. Then hold the solved middle center on the bottom with the opposite middle center in the front. Then do sledge. Next, rotate on the y-axis twice. Then do sledge again.
sledge
y2
sledge
To solve a case where no middle center is solved, hold the white & yellow centers on the left & right. Then do UPerm (as shown above). This will set it up into a UPerm. Solve the UPerm (as shown above).
UPerm
UPerm
And that is how to solve a Skewb with the beginner method.