Tips for cooking vegetables
Trace minerals from vegetables aren't lost when you use the vegetables. If you have a picky eater, this will help them "taste" the vegetables and maybe even desensitize them to the taste over time.
Simply add vegetables that you will use in your sauce or as a side vegetable and add it to your pasta water. Some vegetables fall apart with a lot of boiling so you may add the vegetables with the pasta. This will blanch the vegetables as well as give taste to your pasta.
In addition, remember to keep the pot covered to keep the nutrients from floating off into the air.
Don't waste the water!
Additionally, if you don't use the water for future broth, you can at least cool it and add it to your plants, rather than plain water. Reduce, re-use, recycle.