It's technique, quality of jump ring and practise. I used to have the same problem six months ago. I don't suggest using split rings or super glue. Invest in good quality jump rings 20 gauge or less. I use 18. No need to solder an 18. Then technique. It's best to use two pair of pliers. Make sure only one of the plier moves the jump ring to open and close it. When closing the jump ring, you want to hear it "click." If chain mailler's can do it, so can you! Don't give up.

I just started beading about a month ago and I can tell already that its better to wrap the wire than to bend the wire to create a simple loop.
Just start out slow doing this and watch the tutorial tapes, you will get the hang of it and I think you will like the way the beads stay in place better too as it pushes the beads together.

I use double rings..two at the same point. This keeps them from opening and if one happens to open, the other is there but the split is at a different point, so nothing falls off. double the width is usually stronger anyway. I do it for all of my bracelets and nothing ever comes off.

Use heavy gauge jump rings. 18g or 20g work real well.

NEVER use super glue when making jewelry. There is a vast array of jewelry glues available to use on metal jump rings. You just have to pick the right one for your project. I've used gemtac for glass to base metal silver or gold plated. it dries clear. Just use a toothpick to apply tp jumrings and hold for a few seconds. will be good in 15minutes, but i suggest waiting overnight.

Solder the ring closed, That's what I do. Jewelers do it. Anything i think may fall off or open I solder it.

Sorica said "Try using split rings. They look like the keychain loops. They are very sturdy. Once you put a charm on, it's impossible for it to fall off accidentally." Impossible? I beg to differ. I made a charm bracelet with split rings and every one of them pulled open and the charms were lost. I have been advised to make wrapped loops, Artbeads has a good instruction page with a video at http://www.artbeads.com/howtomawrlo.html

Try using split rings. They look like the keychain loops. They are very sturdy. Once you put a charm on, it's impossible for it to fall off accidentally.

Artbeads offers sterling jump rings in light, medium and heavy gauges. You might wan to try a sturdier jump ring.

I've used 24 gauge craft wire for wire wrapping and it is plenty hard. I suppose it depends on what you are doing, but a simple wire wrapped bead it is fine.

Yes you can use craft wire for wire wrapping BUT it is better to use it doubled instead of one strand and it looks good that way,Be sure to use about a twenty to twenty four gauge wire and if it is dead soft double or even triple it before wrapping.

I use 20 and 22 gauge artistic wire to wire wrapped beads and glass.

you need to use 20 gauge wire to wrap things.

Use 22 gauge round, preferably sterling silver.
Artistic wire would work as well. Use 22 gauge wire.

Use 20 gauge sterling silver wire. Cut two pieces about 1.5 inches to 2 inches long each. Smooth all ends very carefully.

Put a tiny P loop in the end of both wires. This loop will hold your drop.

Put the two wire pieces together so that the loops are both facing up or down and curve both pieces around a cylinder at the same time (I use a wooden dowel), keeping both pieces perfectly the same.

Put a small bend about 1/4 inch up from the unlooped end. Putting the bend in will help the earrings stay in place when you are wearing them, and makes them look prettier against your neck.

By this time they should look like earwires. Make sure they are exactly the same, and that you have filed/smoothed the cuts so that you have perfectly smooth edges. If you don't you will cut the inside of your earlobe and not know it.

You can add a bead on top of the P loop after bending the wires around the cyliner. Solder or cement it in place.

Hammer the big curve a little to help it keep it's shape. Hang your dangles from the loops.

8-)

also if you make your own earwires you need to make sure that they have been polished and made perfectly smooth. tiny imperfections could cause iritation.

Set your cutters on the wire and place a finger tip of the non-dominant or the hand that is not holding the cutter over the wire being cut. This stops the wire from flying. Takes practice to remember to do this, but is worth preventing an eye injury to get in the habit.

I hold my hands closer to the table or my workspace when cutting my wire.

You can do this very easy yourself and it is fun too. Take one long strand of wire and bend in half with the middle part through a pair of pliers so you are holding the middle of the wire with the pliers. Put the other end of the wire (the two strands) into a drill and tighten. I can do this myself , but it is easier with two ppl. Put the drill on a low speed and turn on while keeping the wire tought and keep the drill going until it breaks off the drill. And viola you will have a nice twisted wire. The fun part is you can do this with different color wires, make jump rings, hammered jump rings, etc.

Make your own! It's really easy. Cut a desired length of wire and fold in half. Insert the two loose ends in a pin vise, place a pencil or something round in the fold and twist away.

You will want to Use a 49-strand jewelry wire in a .018 or .019 diameter, so it will be strong enough to stay together and flexible enough to curve easily around your wrist.

I use 16 or 18 gauge for rings - I use dead soft wire as it hardens when you work with it adn further hardens after tumbling or hammering.

To unknot Chain, simply lay it on a non-porous surface such as a plate, and put a drop of vegetable oil on the knot. Take two pins and gently work the knot loose – voila! It couldn't be easier. Remember to rinse and thoroughly dry your chain when you are done.

To protect the wire from rubbing against the clasp and to give your piece a finished look. First you place your crimp tube onto your beading wire, then you feed the french wire onto the beading wire, place your clasp on and have the the french wire form a "U" around the clasp opening, then feed the rest of your beading wire through the crimp tube before you crimp it. Hope this helps!

I can only answer about sterling silver wire, so I hope this helps. Use wire that is "Dead Soft" and it will be very flexible, keeping in mind that wire hardens each time you bend it so the more you mess with it the harder it will be to bend.