This is my plant. I've had it 10y and it only grows when I transplant it into a bigger pot. I don't know what it is but I like it very much because it is very low-maintenance and survives my slack care. And fits on a windowsill. Occasionally it gets a knock and a piece beaks off. I've usually managed to root those pieces and consequently have several sibling plants around the house, all of which are growing straight up.
See those 'hairs' sticking out of the bottom of the U where the stem is bent? If I rest that part on another pot of earth, or on a damp paper towel, will it take root (like a strawberry)? Can I propagate my plant this way, and then cut off the sideways stem so that it can grow straight up and not keep falling over?