Not having seen a picture my first guess is that the color placement you have is too busy to see the weave, and/or you just wove in and out every other row. You need to use a weaving pattern that will produce a longer strip than a square.
Here's an example where you can see how the white fabric separates the colors and the longer strips enhance the woven look:
http://www.modabakeshop.com/2012/10/...ven-quilt.html