Many teachers across the state have just spent hours "unpacking" new
standards for their classes this year. This is the process where they
take the language in the standard and try, as a coordinated group, to
decide what specific skill set it it meant to refer to and how, using
the resources they have, they will teach it to their classes. Teachers
are used to doing this. Unless a district has adopted a new textbook
method, like Everyday Math, unpacking the standards is usually not
difficult and may only be a matter of tweaking previous lesson plans or
bringing newer teachers on board with how a particular school handles
the standards. As elements of Common Core Standards are rolled out,
unpacking has become more complex, and in some cases depressing, for
teachers.
Let's take a look at an example of a math standard to see what this process looks like,
CCSS Math Standard (Grade 4)
Find
whole-number quotients and remainders with up to four-digit dividends
and one-digit divisors, using strategies based on place value, the
properties of operations, and/or the relationship between multiplication
and division. Illustrate and explain the calculation by using
equations, rectangular arrays and/or area models
The writers of the standards were going for clarity. They provided a lot of specifics, including exactly HOW the standard is to be taught which they promised they would not do. If they are going to take the time to detail how you teach a standards, you can bet they are going to test whether a teacher is using this method or not.
Picture, for example, that the assessment will ask the child to solve the problem 247x38. In pencil and paper math world, they would write the standard algorithm for this, mutliply the ones, the tens and the hundreds, add the totals and come up with the answer. In the rectangular array method noted above, they will be asked to fill in a chart like this:
For comparison, here is how California currently writes this standard.
Solve problems involving division of multi-digit numbers by one-digit numbers.
Simple, clear and it allows the teacher to use whatever method works best for her class and her district in order to get the standard across.
Teachers in Utah have begun unpacking the Common Core Standards.
Here are some of their comments.
I am a 3rd grade teacher at a Charter School in Utah. I am becoming
very frustrated with Common Core, and I am starting to feel helpless,
and feel that I am failing my students, which will one day affect me as
they grow up and enter the workforce.
I attended the Math CORE Academy this summer and was told that Utah
is not going to suggest a math book that will meet the new standards,
instead I have to use whatever math book my school is using to create
work for the students. It is incredibly difficult to teach the Common
Core using Tasks with the math book we have, and I imagine it is just as
difficult with any math book. First of all, it takes 2-3 hours to
create a Task using a math book, I had to help create 2 at Core Academy.
Secondly, the instructors encouraged us to leave out key pieces of
information so that the students could construct their own knowledge. I
cannot imagine elementary students doing well in Algebra or Calculus
after spending years learning that whatever number they come up with is
correct. I am frustrated that students are required to make a
guess to solve the problem, and of course, they are correct, because any
number they choose would work. They would then see that their
classmates all chose different numbers, and yet all of the answers are
correct? How confusing for an elementary student! I have decided to send
these Tasks home as extra credit so that the parents in my class can
see what to expect in the next school year. I am sure I will get many
complaints that the problems are unsolvable, because important
information has been left out! I believe that math has right and wrong
answers, and that teaching students that any answer can be correct is
foolish.
Another teacher had this to say about the math standards.
I just attended the Core Academy for math as an elementary teacher and
was told for 4 straight days that the common core does NOT require math
facts or the teaching of standard algorithms. I was taught how to teach
solely using discovery learning or weird, unusable, at least with larger
numbers, fuzzy math algorithms which actually make understanding place
value unnecessary to solve problems requiring regrouping. What? I
thought the core was supposed to help teachers REMEMBER to teach skills
and standard algorithms … I am devastated and do not even know
if I can teach in Utah if this is the direction we are going…aligning
ourselves with Washington state which is all discovery and has some of
the poorest performing math students in the country…where they still
believe Terc Investigations is great Curriculum. May the saints preserve
us all.
Ze`ev Wurman and W. Stephen Wilson reviewed the math standards in this piece on Education Next. Since the standards were created by a committee of representatives of all the states paying for the assessments, they are a compromise of each state's interest. Both reviewers acknowledge that the standards are better than some states' current standards here and there. They are not universally better than any one state's standards. And they have an inordinate focus on higher level critical thinking. Critical thinking is a wonderful goal, but it can only be done once a solid base of facts has been established. And it can only be done efficiently if that knowledge base is fluent. Wilson said,
There will always be the anti-memorization crowd who think that learning
the multiplication facts to the point of instant recall is bad for a
student, perhaps believing that it means students can no longer
understand them. Of course this permanently slows students down, plus it
requires students to think about 3rd-grade mathematics when they are
trying to solve a college-level problem...
The standard algorithms for adding, subtracting, multiplying, and
dividing whole numbers are the only rich, powerful, beautiful theorems
you can teach elementary school kids, and to deny kids these theorems is
to leave kids unprepared. Avoiding hard mathematics with young students
does not prepare them for hard mathematics when they are older.
Combine these new standards, and all of the assessments that will come with them, with the fact that Race To The Top and NCLB have tied teacher tenure to student performance on assessments that will include things like the array above and you can bet that unpacking the standards next year may send some really good teachers packing.