Math standards tend to
be more specific than other subjects and the build out
is more about specifics rather than expansion. And
without the problem of unbounded expansions, math
teachers have much less of a problem allocating class
time to topics. But, in this Algebra I example on the
right, it is still up to the teacher to determine the
exact content, or what to teach.
A disaggregation of this standard might look like the
expansion outline on the right. In this example, the
orange areas are expanded items; red text represents
added content. The build out for “part a.” requires the
teacher to know or determine which of the more than ten
properties of real number should be covered in this
course. “Parts b. and c.” are well defined in the
standard and have only been deconstructed in the
outline.
But there is another dimension to the math standards since
many cover skills like these last two. That dimension is
the limit to apply to the scope of the skills
application. What magnitude of values, how many terms,
and what nature of terms should be included in the
skills learning? And for “part c.”, what limits should
be placed on the size and complexity of the matrices?
All courses are eventually delivered and specific content is
included. Exactly which content and which limits are
applied to the skills learning is up to the teacher.
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