If you are looking for a form of knitting that you can teach your kids, French Knitting which is also called Spool Knitting, might be just the ticket!
Most of the people I know that are around my age can remember learning how to do french or spool knitting when they were at school.
Only the tools we used were made out of wooden cotton reels.
Wooden reels are a bit more difficult to find these days as most cotton manufacturers now use plastic reels, but you can buy one of the tools (like the one in the photo) from any good craft store.
The knitting produced using this method is a narrow tube which can be used to make crafty items for the kids, like necklaces, dressing table mats, floor mats, soft toys etc.
Feed the end of your ball of yarn through the center of the tool and hold the end against the tool with your left hand.
Wrap the yarn right around each of the four tacks at the top so that you have a loop of yarn around each one. Then you wind your yarn around the outside of the tacks above the row of loops.
Using the stick you get with the tool or a crchet hook, lift the loop on the first tack and lift it over the yarn above it. Repeat this for the other three tacks. Give the end of the yarn (at the bottom of the tool) a slight tug to pull the stitches down to the base of the tacks.
Congratulations, you have finished your first row!
Repeat the process until you have the length you require.
When you have a nice long tube of knitting, you are probably going to want to make something with it so here are a few suggestions: