A heavy math night

Last night, we spent most of the night working on math.  There are two ways to use the Teaching Textbooks to go through a lesson.  It is possible to just read the material in the book or to listen to a video lecture of the exact same material.  Previously, the kids were able to get by just reading the textbook before working the problems, but now that we are moving into more difficult material.  They are doing fine, but it really seems to help them understand the material better when they see someone explain and work the problems.  It is not like any of this is that easy.  As we move forward, I think it will be necessary to both watch the lectures and then review the fine points in the textbook to be able to do the problems.  I know that in my work, it always seems to help to go to a seminar or lecture on new materials even if a book written on the subject is more thorough and has more depth.  The thing about math is that it feels so good when you finally get it.