Math builds on itself.
You can’t move to the next phase of math until you understand the level you’re on. If you’re constructing a building, you have to lay the foundation before you can build the walls. In math, every new lesson is a brand new foundation. It’s a structure with new rules piling up on top of each other forever. If any one of those foundations is weak, there’s no moving on. The reason so many students fall behind is not because they are incapable of learning, but because they are missing one key ingredient from a prior lesson that makes it impossible to move on. They begin to tell themselves that math is impossible, instead of expressing their confusion and putting the missing piece into place.
You can’t move to the next phase of math until you understand the level you’re on. If you’re constructing a building, you have to lay the foundation before you can build the walls. In math, every new lesson is a brand new foundation. It’s a structure with new rules piling up on top of each other forever. If any one of those foundations is weak, there’s no moving on. The reason so many students fall behind is not because they are incapable of learning, but because they are missing one key ingredient from a prior lesson that makes it impossible to move on. They begin to tell themselves that math is impossible, instead of expressing their confusion and putting the missing piece into place.
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