@ Alchemy- Children learn well through discovery, so teaching them about nature through activities that you recommended are important. Allowing a child to see how natural processes work, and showing them the relationship between things they might not know are related are both good ways to teach the importance of nature.
Activities that show the human connection to nature are also good ways to teach your child. Teaching survival techniques on a camping trip are good ways to teach your child. Showing them plants that they can use as disinfectants, or how to build a shelter can teach your child that nature is a protector of species. Remember, people once relied on nature more directly than they do now.