National Panel confirms that D11 math approach is flawed
The final report from the National Mathematics Advisory Panel is in, and once again, defenders of fuzzy mathematics instruction, including the D11 administration, are shown to be supporting a flawed curriculum.
Dora Gonzales, D11 math chair, pushes curriculum that calls for “familiarity” with math concepts instead of mastery. She pushes curriculum that uses a “spiraling” technique of teaching. In other words, students are briefly introduced to math concepts during one school year, with the hope that at some point over several years, they will become familiar with that concept due to the fact that they will briefly touch on the topic again at some future date. Gonzales and other traditional math critics claim that it is not important for students to actually master math facts and processes during their early school years. The National panel concludes that this thinking is outright wrong.
As to the issue of mastering math facts, the national panel report states: “By the end of the elementary grades, children should have a robust sense of number. This sense of number must include understanding place value, and the ability to compose and decompose whole numbers. It must clearly include a grasp of the meaning of the basic operations of addition, subtraction, multiplication, and division, including use of the commutative, associative, and distributive properties; the ability to perform these operations efficiently; and the knowledge of how to apply the operations to problem solving. Computational facility rests on the automatic recall of addition and related subtraction facts, and of multiplication and related division facts. It requires fluency with the standard algorithms for addition, subtraction, multiplication, and division. Fluent use of the algorithms not only depends on the automatic recall of number facts but also reinforces it.”
How about the spiraling approach that is so favored by the fuzzy math crowd? The report says this: “International studies show that high-achieving nations teach for mastery in a few topics, in comparison with the U.S. mile-wide-inch-deep curriculum. A coherent progression, with an emphasis on mastery of key topics, should become the norm in elementary and middle school mathematics curricula. There should be a de-emphasis on a spiral approach in mathematics that continually revisits topics year after year without closure.”
I published a math survey on this blog several months ago which showed that mathematicians around the world have very strong opinions about fuzzy math curriculum, and those opinions demonstrate that they do not like this new-new math. The national report says this: “Publishers must ensure the mathematical accuracy of their materials. Those involved with developing mathematics textbooks and related instructional materials need to engage mathematicians, as well as mathematics educators, in writing, editing, and reviewing these materials.”
The evidence on math is clear: D11 is not using solid curriculum, and it is not properly serving its students. Don’t expect this national report to cause any change for the better in the district, however. The administration and board members don’t pay attention to math facts or statistics. It is easier to explain away the facts than it is to face the reality that nothing short of a curriculum overhaul and good old fashioned hard work will be needed to fix the D11 math crisis.
Dora Gonzales, D11 math chair, pushes curriculum that calls for “familiarity” with math concepts instead of mastery. She pushes curriculum that uses a “spiraling” technique of teaching. In other words, students are briefly introduced to math concepts during one school year, with the hope that at some point over several years, they will become familiar with that concept due to the fact that they will briefly touch on the topic again at some future date. Gonzales and other traditional math critics claim that it is not important for students to actually master math facts and processes during their early school years. The National panel concludes that this thinking is outright wrong.
As to the issue of mastering math facts, the national panel report states: “By the end of the elementary grades, children should have a robust sense of number. This sense of number must include understanding place value, and the ability to compose and decompose whole numbers. It must clearly include a grasp of the meaning of the basic operations of addition, subtraction, multiplication, and division, including use of the commutative, associative, and distributive properties; the ability to perform these operations efficiently; and the knowledge of how to apply the operations to problem solving. Computational facility rests on the automatic recall of addition and related subtraction facts, and of multiplication and related division facts. It requires fluency with the standard algorithms for addition, subtraction, multiplication, and division. Fluent use of the algorithms not only depends on the automatic recall of number facts but also reinforces it.”
How about the spiraling approach that is so favored by the fuzzy math crowd? The report says this: “International studies show that high-achieving nations teach for mastery in a few topics, in comparison with the U.S. mile-wide-inch-deep curriculum. A coherent progression, with an emphasis on mastery of key topics, should become the norm in elementary and middle school mathematics curricula. There should be a de-emphasis on a spiral approach in mathematics that continually revisits topics year after year without closure.”
I published a math survey on this blog several months ago which showed that mathematicians around the world have very strong opinions about fuzzy math curriculum, and those opinions demonstrate that they do not like this new-new math. The national report says this: “Publishers must ensure the mathematical accuracy of their materials. Those involved with developing mathematics textbooks and related instructional materials need to engage mathematicians, as well as mathematics educators, in writing, editing, and reviewing these materials.”
The evidence on math is clear: D11 is not using solid curriculum, and it is not properly serving its students. Don’t expect this national report to cause any change for the better in the district, however. The administration and board members don’t pay attention to math facts or statistics. It is easier to explain away the facts than it is to face the reality that nothing short of a curriculum overhaul and good old fashioned hard work will be needed to fix the D11 math crisis.