At the end of the day, it comes down to a disagreement over the value of the method. I've explained - and many mathematicians have explained - why the math methods taught in Common Core standards are miles beyond others in terms of imparting a deep understanding of the subject. A kid having trouble adjusting to a new way of thinking is not a bad thing and is to be expected, and given time that kid will adjust and be better off for it.
The 9x trick mentioned earlier is just that - a trick. It doesn't actually give you an understanding of the reasons behind why multiplication works the way it is. It is nothing more than a tool to assist in memorization. And the entire point of the Common Core standards is to pull away from memorization and move closer to a curriculum based on critical thinking. When I teach my 6th graders a new concept, I sure as heck care about how they get to their answers. Faulty reasoning can lead to some serious misconceptions later down the line, and the best way to avoid that is making sure the base understanding is as sound as possible.
The 9x trick mentioned earlier is just that - a trick. It doesn't actually give you an understanding of the reasons behind why multiplication works the way it is. It is nothing more than a tool to assist in memorization. And the entire point of the Common Core standards is to pull away from memorization and move closer to a curriculum based on critical thinking. When I teach my 6th graders a new concept, I sure as heck care about how they get to their answers. Faulty reasoning can lead to some serious misconceptions later down the line, and the best way to avoid that is making sure the base understanding is as sound as possible.
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