Mom, I have a plant. . . (from my son, Mick)

Looks to be a spider plant (not the curly leaf or white/green type).  Let these little shoots keep growing, they will bloom, then turn into "little" baby spider plants; when they start growing roots (white tuber fingers) on the bottom, you can:

1.  do nothing, they will hang down and they will continue to grow.

 2.  snip momma-baby stem and put the baby(s) into a container with water, just covering these "fingers (roots)", they will continue to grow.  You can keep them water rooted or put the baby(s) into a pot of soil and grow them.

 3. keep the momma- baby stem attached to the momma, take another small pot of soil, plant the baby, push a paper clip on the attached stem into the soil, this will keep your baby from pulling out of the soil; when the baby looks to be growing, sever the mom-baby-stem.  

 Now you have another spider plant potted.... OR...

 4.  trim off all the stems and just enjoy momma plant; she'll put out babies once or twice a yr.....