The first video is by M.J.McDermott, a meteorologist for Channel 13 in Seattle, entitled "Elementary School Math, An Inconvenient Truth." Ms. McDermott does a good job explaining multiplication and division algorithms, comparing the tried-and-true algorithms most of us post-40 year-olds learned with new algorithms being used in schools today. Pay close attention to her revelation near the end of the video of comments made in the teacher's manuals by the book publishers.
The second video is by Karen Bracken affiliated with Tenesee Against Common Core, entitled "Common Core - Subversive Threat to Education." In this hour-long presentation she explains the historical context of Common Core, who is behind it, and its links or potential links to the United Nations, eugenics, and the UN's concept of "sustainability." Before dismissing this as an attack on the current administration, look at the "Who's who" revealed at 0:19:20. Some names may surprise you (and, perhaps, you will no longer be surprised why Republicans often attack the Tea Party).
And before you dismiss the second video as a wild conspiracy theory, go back to the first video and ask yourself why students are studying inefficient algorithms that are never mastered, and then told to use a calculator?
After watching the second video, you will know the answer.