It's important when we are teaching to remember that we are always teaching children. We may be teaching math, science, reading, writing and social studies, but what matters the most is that we are teaching children. I really liked when the author said "the children were continually making natural connections, adding a structure of rules and traditions according to their own logic." That's also what education is, allowing children to connect their learning to something in their lives, so their learning is more valuable. This is similar to what John Dewey said about experiences and how all experiences need to be valued in teaching. The author also says "use this compelling material as a vehicle for examining his ideas of how the world works," is also saying to teach to their experiences.
Another part about this article I found interesting was the issue with Frederick about the birthdays and the fact that he did not believe his mom had birthdays anymore. To me this part related to science, because Frederick had a huge misconception about birthdays. While birthdays may not be science, children still have misconceptions about concepts in science, and teachers need to work to change misconceptions. Although you cannot force a child to change his mind, teachers need to find ways to help with these misconceptions.