some people can get some kinds of math without writing it all out, thus without showing their work. However, most tests require that you show your work.
It was one of the frustrating things about teaching advanced math--because most of them can figure it out without showing work--but you have to count off if they DON'T show their work.
Aly's learning the tree diagram for finding combinations. She just figured it out without using the tree diagram, and is now frustrated that I told her she had to.
But the 7th grade GLE requires that they find combination by multiplication, not by tree diagram. So, they learn it one way in 6th grade (according to the state requirements), then learn it another way in 7th grade.
When I taught 7th grade, the SPED inclusion teacher told me it's easier for her students to do the tree diagram. Okay, I know it's easier for them to see it that way, especially when they've already learned it that way--HOWEVER, the GLE requires that they do it by multiplication--this isn't ME making that rule.
While I agree that it is a gifted class, so they should know the material theoretically, and they should also be asking more questions if they think they don't understand it, Algebra is one of those subjects that is the building blocks so having the kids understand it is really important. So obviously if all the kids in the class are scoring low on most of the quizzes and such, either 1, they think they understand, but really don't, 2, the teacher is doing a crappy job of testing them, or 3, somewhere in between I'm sure and it needs to be explored by the teacher why its happening the way it is. IMO at least.
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some people can get some kinds of math without writing it all out, thus without showing their work. However, most tests require that you show your work.
It was one of the frustrating things about teaching advanced math--because most of them can figure it out without showing work--but you have to count off if they DON'T show their work.
speaking of...
Aly's learning the tree diagram for finding combinations. She just figured it out without using the tree diagram, and is now frustrated that I told her she had to.
But the 7th grade GLE requires that they find combination by multiplication, not by tree diagram. So, they learn it one way in 6th grade (according to the state requirements), then learn it another way in 7th grade.
When I taught 7th grade, the SPED inclusion teacher told me it's easier for her students to do the tree diagram. Okay, I know it's easier for them to see it that way, especially when they've already learned it that way--HOWEVER, the GLE requires that they do it by multiplication--this isn't ME making that rule.
Pages