bethv61 said:
I've read that the correct way to crochet is to insert the hook under the top 2 loops. I've also read where you can insert hook either in front loop or back loop. Is there a correct way or are any of these ways proper? Thanks!
How you make the stitches depends on the pattern. There are more ways to make stitches than just going through one or both loops. In making roses with elevated petals, for example, on some patterns you crochet into the post of the single crochet between petals, from the back. Or on a row in which you are increasing the number of petals, you may crochet into the lower portion of the tallest or center stitch on the back of the petal on the previous row. There are also times when either the pattern asks you to drop the loop on the hook and pick it up on the back of the work or through another stitch, or you may decide that you want to do that yourself. Post stitches direct you to crochet around the post of the stitch on the previous row, or around the post of the stitch a few rows down. Sometimes a pattern will ask that you crochet over an entire stitch. For example, I've seen patterns that are rows of single crochet, and at different intervals, often using a different color, a stitch will be made around an entire single crochet that is two rows below, in order to make a "spike" of the new color into the previous color.
When crocheting the next round over a chain loop, some patterns direct the worker to crochet into each of the chains, and some direct the worker to make the stitches for that row around the chains in the chain loop.
It is similar when making picot stitches. Sometimes a pattern will ask you to make one stitch, then some chains, and then another stitch. Some patterns will ask you to make a stitch, then some chains, and then slip stitch or single crochet into the stitch you just made before the chains.
Filet crochet is similar. Some patterns direct you to crochet around the chain stitches in the space on the previous row, and some patterns direct you to crochet into each of the chains.
For myself, I keep a notebook of plastic sleeves with portions of patterns and samples that I've made, so that I can make my own decisions about what will best keep the stitches together (so that they don't spread), what will best keep the pattern from shifting around, what will create the most sturdy end product, and/or what will make the most desirable surface design or look. When making roses, for example, there are times when I want them to lay flat, and times when I want them to stand up. It's the way I make the stitches and their placement that helps me to achieve the desired effect.
I always save "mistakes." More often than not a "mistake" on one project is something essential for the success of another. And you never know when those "mistakes" are going to show up on the work of someone far more experienced and knowledgeable as the "best" way to crochet.
I've crocheted all of those ways and I have been getting different looking results. I was making a sweater for my husband and wondered why it wasn't looking like in the picture. Now I know that unless I want a different look to insert hook under 2 loops 
