Links to the standards
NCTM standards: http://standards.nctm.org/document/index.htm
Wisconsin Standards: http://dpi.wi.gov/standards/matintro.html
Milwaukee standards correllation, which tells how the Milwaukee school distric
is implementing the Wisconsin standards across grades K-8: http://www4.uwm.edu/Org/mmp/_resources/cabs.htm (The
document is K-8 Mathematics Targets)
Key things to know about math standards:
The NCTM standards are:
- Well thought out and well written--if you sign up for a student NCTM membership,
and can look at the full text of the standards on line, or if you check it
out from the library, you'll see that there is a lot of detail and explanation
out there to explain what the standards mean.
- Divided into content standards (what to know--Number and Operations, Algebra,
etc.) and process standards (what to do with the stuff you know--Problem
Solving, Communicating, making Connections)
- Divided into 4 grade bands: K-2; 3-5; 6-8; 9-12
- Written by interested educators (college faculty) and teachers (K-12)
- Trying to influence the way that math is taught to include more flexible
strategies and deep understandings
- Influential for states writing their own standards
The NCTM standards are not:
- A document written or authorized by the federal government
- Mandatory for "you" to teach.
- Perfect--there have been changes made between the 1989 and the 2000 standards:
in particular, the role of being fluent with computations (memorizing addition
and multiplication facts, computing with confidence) was hotly debated, and
if you compare the documents, you will see that the need to be fluent with
computations is more emphasized in the later standards than the earlier ones.
More changes will happen. Look for the good ideas in the standards, and try
to implement those, but don't expect it to stay the same and tell the "one
true way" to teach.
The Wisconsin standards are:
- Written and authorized by the state of Wisconsin DPI
- Mandatory for Wisconsin teachers to teach
- Influenced by the NCTM standards (more heavily by the 1989 than the 2000
standards)
- Include the same 5 content standards as the NCTM standards, and include
one standard: Processes to address process standards issues
- Less prescriptive than the NCTM standards about how to teach, and address
primarily what to teach.
- Divided into 3 grade bands: K-4, 5-8, 9-12
The Wisconsin standards are not:
- Detailed. What's on the web site is all there is. School districts write
their own alignment documents (how they will meet those standards) and those
have a little more detail. I provided you to the one that Milwaukee school
district, working with people at UW-Milwaukee, has put together, since it
is on line and quite detailed.
- The only useful documents Wisconsin teachers have about teaching math.
As a teacher, you will also want to look at information about how standardized
tests are written and graded, since these tell you how the state is assessing
your teaching of the standards