By far Common Core's most distinctive feature, as articulated in CCSS.Math.Practice.MP3, is its emphasis that students be able to explain verbally what they are solving. In principle, there is nothing wrong with that. But in practice, "writing math" is putting traditional computation on the back burner. Why? Because we are told that students will have to write out their rationales on state tests in some capacity--and, admit it or not, teachers are forced to tune their instruction tightly so students will do well on the state tests. The fact that we have not yet seen the state tests and their implementation of this writing principle has not stopped Common Core stamped math books from shifting their focus.
Witness, for example, this photo from a third grade Common Core math book and its "Write Math" section. Notice it is labeled "H.O.T.," implying that this type of problem is "in."
Notice the last word--"Explain." No longer is it enough to just solve and check your work mathematically. Now it must also be explained verbally. Here's another third grade problem.
How well will students who struggle with reading, or students whose native language is not English, fare in this methodology? Yet American Federation of Teachers President Randi Weingarten tells us that "civil rights groups that see public education as an anchor of democracy and a great equalizer have embraced these standards." Perhaps these groups have not done their homework on what Common Core actually entails.
This writing methodology not only emphasizes student explanations, but is also gives pride of place to word problems. Have a look at the first grade book from the same textbook series. Notice the "Test Prep" label in the upper right hand corner.
There is nothing wrong with word problems per se, yet here we find the underlying issue: if word problems will be the focus of the state assessments (two of the three "Test Prep" pages in this section are entirely given to word problems), then teachers will be forced to give the bulk of their precious few classroom minutes to practicing word problems. This gives far less time for drilling the basic facts that are essential to mathematics, and without knowledge of the basics, the students will fall farther behind year after year.
This excessive verbiage will cause Common Core to fail, as a generation of students will know neither mathematical computation nor mathematical concepts. So much for Common Core's Mission Statement that promises to prepare students "to compete successfully in the global economy" in the future.
Instead these students will not even be able to make change from a $5 bill.
Thursday, January 2, 2014
How to Obfuscate Two-Digit Multiplication
Once upon a time, two-digit multiplication was an exercise
in computation: multiply one digit through, add a zero, then multiply the
second digit through, and finally add the two together. But Common Core,
despite its promise, has reinvented and
obfuscated this simple process. True to its emphasis of having all
levels of mathematics explained in words (more on this in the "Four Corners and a Diamond" post), Common Core offers a verbose explanation of how to solve
43 X 25. This is a photograph of a math workbook of a fourth grader whose Long
Island parochial school has adopted the Common Core. The book has the Common
Core stamp on the cover. The teacher is required to teach the students
according to the outline on this page, not according to the traditional method.
Have a look:
Just as with the Common Core method for subtracting 13-4 (see post "What's 13-4? Don't Ask Common Core"), in this example the concept of place value has been elevated over the ability to solve the problem in the most straightforward manner possible. This place value method is articulated in standard CCSS.Math.Content.4.NBT.B.5. Rather than add two sets of numbers in the end, students now need to add four, keeping track all the way, as the fourth grader did in this photograph.
It is worth noting that the fourth grader is required by his teacher to solve two-digit multiplication in this manner. He understands the traditional way of multiplying but not the Common Core way, and he has therefore performed poorly--and been reduced to tears more than once--on his math tests that require the obfuscated method.
And the worst part: this boy scored in the 97th percentile on his Iowa Test of Basic Skills in mathematics, yet he cannot handle the Common Core methodology. His mother and father each sit with him to complete his homework every night. If this boy is struggling this much, how will the children of average or below-average intelligence fare? How will students who do not have parents to help them with their homework fare?
Yet American Federation of Teachers President Randi Weingarten somehow believes that Common Core standards "have the potential to disrupt the cycle of increasing poverty and economic and social stratification by making essential skills and knowledge available to all children, not just some."
It seems to me that Common Core will push these students farther behind.
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