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The agreement includes districts serving New York City; Los Angeles; Chicago; Clark County, Nev.; and Hillsborough County, Fla., all among the nation's largest.

The standards themselves, however, don't go into detail on how student textbooks and instructional materials should look, thus the creation of the publishers' criteria.

To fully reflect the standards, for example, the publishers' criteria for grades 3-12 note that "80 to 90 percent of the reading standards in each grade require text-dependent analysis; accordingly, aligned curriculum materials should have a similar percentage of text-dependent questions."

An example of part of the publishers' criteria for grades K-2 notes that "though there is a productive role for good general questions for teachers and students to have at hand, materials should not over-rely on 'cookie cutter' questions that could be asked of a text, such as, 'What is the main idea? Provide three supporting details.' " Rather, the criteria say, questions should be individually crafted and draw students into the texts at hand.

it's a long way from setting criteria to developing, adopting, and publishing curricular materials and programs,

The question publishers have, he said, is how the criteria will figure into actual procurement decisions.

"It really shifts more toward comprehension and asking the right type of questions, as opposed to 'read this text and answer these questions.' "

Having teachers individually rewrite their own curriculum is a recipe for classroom chaos.

Educational publishers have the resources to provide a wide variety of new materials that could facilitate these necessary changes. They have editorial departments that keep up to date on education research. They can make connections with education researchers so they can work with teams of writers and editors to develop materials. The publishers can have researchers spend months organizing and testing sequences of lessons to find out what best supports student learning. They have design and production departments to produce the materials in an appealing and accessible format for wide use. They can build professional development into these new materials, which could be a foundation for teaching educators about the common core. But publishers won’t do any of this if they don’t have to.

Instead of a well-considered evaluation of available materials, schools tend to adopt and purchase educational materials for superficial reasons, either because they don’t have time for a thorough evaluation or they have little faith in textbooks. But if textbooks are sold based on design or inconsequential elements, publishers will prioritize visual design and superficial features. This would represent an unfortunate cycle of repetition and promote the status quo.

On the other hand, educational publishers would bend over backwards to make effectiveness their top priority if the top-selling textbooks were those with the best sequence of lessons to develop each standard in depth, the most effective teaching methods, and the richest content. They would do the work that schools so desperately need. But to identify materials with effective characteristics, customers have to know what those characteristics are.

Contrary to what many think, some textbooks are superior to others and do, in fact, meet some of the standards with fidelity. If the most effective materials for a particular population of students, such as higher- or lower-achieving students, were available to teachers, they could use them and focus their energies on meeting the needs of their students. Instead, many must devote time and energy to writing curriculum, although few have any experience in this demanding work. Teachers need to know and understand the new standards, but they should also be able to distinguish materials that faithfully reflect the standards from those that do not.

How can schools identify the most effective materials?

• Establish an adoption team to analyze potential materials. I

Next, the adoption team should establish evaluation criteria for curricula and then employ those criteria to analyze instructional materials.

Finally, the team should confirm that instructional materials in use share specific characteristics: The development of each required standard at a grade level is comprehensive, with a clear introduction, development, practice, and assessment. Content, readability, and skill expectations are appropriate for the population of students. Organization promotes natural learning progressions and logical development of skills and concepts. Lessons include an engaging and appropriate mix of learning activities and experiences that develop the critical concepts as identified by the standards. Teaching methods reflect effective practices as identified by research and experience. Materials support a change in teaching practices and are different from materials currently in use.

textbook publishers, who have invested tens of millions of dollars in their textbook series, are doing the minimum necessary to address the new standards.

it is unrealistic to expect that they will re-envision their materials if they don’t have to

if textbook publishers simply relabel their existing content without considering the intention of the standards, they will perpetuate the status quo and will not support the educational improvements the standards promise.

Adoption of the common core should result in improvements in student achievement. If educators do not change, student achievement will not change.

What is required of educators is the careful, intelligent, well-considered selection of content necessary to meet the standards; lessons that are sequenced to support student-learning trajectories; and teaching methods that are based on evidence of effectiveness.

Instead of a well-considered evaluation of available materials, schools tend to adopt and purchase educational materials for superficial reasons, either because they don’t have time for a thorough evaluation or they have little faith in textbooks.

On the other hand, educational publishers would bend over backwards to make effectiveness their top priority if the top-selling textbooks were those with the best sequence of lessons to develop each standard in depth, the most effective teaching methods, and the richest content.

Contrary to what many think, some textbooks are superior to others and do, in fact, meet some of the standards with fidelity.

eachers need to know and understand the new standards, but they should also be able to distinguish materials that faithfully reflect the standards from those that do not.

Schools have it in their power to improve student achievement. They can take the selection of educational materials more seriously, selecting the most effective resources available, allowing the free market to promote continual improvement as it does in other industries.

How can schools identify the most effective materials?

Establish an adoption team to analyze potential materials.

The team’s first job should be to develop expertise in the common standards and find research that supports effective teaching methods and student-learning trajectories.

Next, the adoption team should establish evaluation criteria for curricula and then employ those criteria to analyze instructional materials. The criteria should evaluate: teaching methods that are based on research and evidence; student-learning trajectories that are the basis for the development of lessons and concepts; content that is accurate and comprehensive and that meets the common standards; and effectiveness that can be verified.

Finally, the team should confirm that instructional materials in use share specific characteristics: The development of each required standard at a grade level is comprehensive, with a clear introduction, development, practice, and assessment. Content, readability, and skill expectations are appropriate for the population of students. Organization promotes natural learning progressions and logical development of skills and concepts. Lessons include an engaging and appropriate mix of learning activities and experiences that develop the critical concepts as identified by the standards. Teaching methods reflect effective practices as identified by research and experience. Materials support a change in teaching practices and are different from materials currently in use.

But there's a real gap in other kinds of nonfiction

I'm relying on different kinds of strategies and a lot more explicit teaching,

We spend a lot of time talking about attributes of nonfiction, like how to read an interview. Or how to tell the difference between fact and opinion."

Using fiction has many positive and useful values, and it shouldn't be lost or pushed so far to the sidelines that it disappears."

The common standards' emphasis on informational text arose in part from research suggesting that employers and college instructors found students weak at comprehending technical manuals, scientific and historical journals, and other texts pivotal to their work in those arenas.

The common core's vision of informational text includes literary nonfiction, as well as historical documents, scientific journals and technical manuals, biographies and autobiographies, essays, speeches, and information displayed in charts, graphs, or maps, digitally or in print.

vocabulary

professional development aimed at helping teachers think through how to craft instructional units and tasks reflecting the shift in the standards

district set up a digital "common-core library" that includes 13 "bundles" of sample activities, lesson plans, and other resources for instruction based on informational text

The immediate challenge of the informational-text emphasis, however, lies more in training than in materials,

[it's] actually figuring out how to structure classrooms so we speak to text and kids are using text in conversations with each other and are grappling with the meaning of text.

we need to make sure that by the end of high school, students are reading science journals,

right now, just simply the act of reading the science textbook and absolutely making the textbook—rather than the teacher—generate the answers.

It's one thing to tell school districts that we must do close reading of informational text," he said. "It's very different to say, 'Here is what's involved with a close reading.' "

Treasures does include some informational text, "but not sufficiently, we would say. We wanted something that would supplement that."

elementary reading coaches have met with Nell K. Duke, the Michigan State University professor who wrote Buzz About IT, and are meeting monthly to study her research, Ms. Acquavita said

Funding for materials and professional development that reflect the standards could prove to be an issue for states, and, as a result, for companies that produce them

We have been unpleasantly surprised that a number of states are only now starting to wrestle with the cost of this,

New criteria for adoptions of basal instructional materials for the bridge year, approved by the state in January, specify that materials must include "high-quality, complex informational text" in the ratios specified by the standards.

Its statewide literacy plan delves into explanations of six major shifts in the English/language arts standards, and the state has also produced an online "toolkit" offering teachers instructional videos and other resources on those shifts.

The biggest concern state officials are hearing from teachers is that they be assured of having adequate lesson plans, curriculum maps, and other resources to teach the standards once that begins in 2012-13

o convey its expectations for new materials, the state has hosted a webinar for publishers, pointing them to the "publishers' criteria" developed by the common-standards writers for grades K-2 and 3-12, which describe what is required for materials to align well with the standards.

the CCSS cites an ACT report called Reading Between the Line that says that the ability to answer questions about complex text is a key predictor of college success.

The text covers a wider range of genres and formats.

In order to be college-, career-, and life-ready, students need to be familiar and comfortable with texts from a broad range of genres and formats. The Common Core State Standards focus on a broader range and place a much greater emphasis on informational text.

The Common Core sets expectation that, in grades three through eight, 50 percent of the text be expository. Specifically, in grades three through five, there is a call for more scientific, technical, and historic texts, and in grades six through eight, more literary nonfiction including essays, speeches, opinion pieces, literary essays, biographies, memoirs, journalism, and historical, scientific, technical, and economic accounts.

In addition, students are expected to understand the presentation of texts in a variety of multimedia formats, such as video.

There is a greater emphasis on evidence-based questioning.

The standards have shifted away from cookie-cutter questions like, "What is the main idea?" and moved toward questions that require a closer reading of the text.

The questions are more specific, and so the students must be more adept at drawing evidence from the text and explaining that evidence orally and in writing.

Students are exposed to more authentic text.

The Publishers' Criteria for the Common Core State Standards, developed by two of the lead authors of the standards, emphasize a shift away from text that is adapted, watered down, or edited, and instead, focus on text in its true form. While scaffolding is still considered an important element when introducing students to new topics, it should not pre-empt or replace the original text. The scaffolding should be used to help children grasp the actual text, not avoid it.

The standards have a higher level of specificity.

There is a great amount of flexibility for educators to determine how they want to implement the new standards and the materials they choose to use and/or create; however, the standards themselves are quite specific.

Additional Expectations

Shared responsibility for students' literacy development. In grades six through twelve, there are specific standards for Literacy in History/Social Studies, Science, and Technical Subjects. The message here is that content area teachers must have a shared role in developing students' literacy skills.

Compare and synthesize multiple sources. Students are expected to integrate their understanding of what they are currently reading with texts that they have previously read.

need to answer how what they have just read compares to what they have learned before.

Focus on academic vocabulary. One of the biggest gaps between students, starting in the earliest grades, is their vocabulary knowledge. The new standards require a focus on academic vocabulary, presenting vocabulary in context, and using the same vocabulary across various types of complex texts from different disciplines.

The Common Core State Standards are not "test prep" standards. They aim to teach students how to think and raise the bar on their level of comprehension and their ability to articulate their knowledge.

However, the depth of the standards and the significant differences between the CCSS and current standards in most states require a whole new way of teaching, so even the most experienced teachers will need to make great changes and require support in doing so.

A lot of publishers are repurposing old materials and saying that they are "aligned" with the Common Core.

Fordham’s review does not unequivocally say the standards are higher, either. They may be higher than some state standards but they are certainly lower than the best of them

Nor are the Common Core standards necessarily clearer.

Andrew Porter, dean of the University of Pennsylvania’s Graduate School of Education

conclusion was stark: Those who hope that the Common Core standards represent greater focus for U.S. education will be disappointed by our answers. Only one of our criteria for measuring focus found that the Common Core standards are more focused than current state standards…Some state standards are much more focused and some much less focused than is the Common Core, and this is true for both subjects. We also used international benchmarking to judge the quality of the Common Core standards, and the results are surprising both for mathematics and for [ELA].… High-performing countries’ emphasis on “perform procedures” runs counter to the widespread call in the United States for a greater emphasis on higher-order cognitive demand.

with only somewhat less redundancy in the middle grades

There is much to criticize about them, and there are several sets of standards, including those in California, the District of Columbia, Florida, Indiana, and Washington, that are clearly better.

Where this gap is most obvious, and most important, is in laying the foundation for college readiness in mathematics early, by grade 6 or 7. Judging by state standards, few people see a connection between elementary school mathematics and college math, let alone really understand how the foundation is built.

et Common Core is vastly superior—not just a little bit better, but vastly superior—to the standards in more than 30 states.

the standards don’t rank in terms of quality in the middle 20 percent of state standards, but, instead, fall in the top 20 percent.

Fewer than 15 states are explicit about the need for students to know the single-digit number facts (think multiplication tables) to the point of instant recall. States love to have kids figure out many ways to add, subtract, multiply, and divide, but often leave off the capstone standard of fluency with the standard algorithms (traditional step-by-step procedures for the addition, subtraction, multiplication, and division of whole numbers).

only 15 states mention common denominators. Common Core does a pretty good job with arithmetic, even a very good job with fractions.

do the math standards resemble those recommended by the National Council of Teachers of Mathematics (NCTM)

There will always be people who think that calculators work just fine and there is no need to teach much arithmetic, thus making career decisions for 4th graders that the students should make for themselves in college. Downplaying the development of pencil and paper number sense might work for future shoppers, but doesn’t work for students headed for Science, Technology, Engineering, and Mathematics (STEM) fields.

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.

There will always be the standard algorithm deniers

Some seem to believe it is easier to teach “high-level critical thinking” than it is to teach the standard algorithms with understanding. 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.

You learn Mathematical Practices just like the name implies; you practice mathematics with content.

At present, it seems that the majority of people in power think the three pages of Mathematical Practices in Common Core, which they sometimes think is the “real” mathematics, are more important than the 75 pages of content standards, which they sometimes refer to as the “rote” mathematics

NCTM followed shortly with its 2006 Curriculum Focal Points, a document that finally focused on what mathematics is all about: mathematics. Since then, NCTM seems to have regressed, as evidenced by its 2009 publication Focus in High School Mathematics, a document that is full of high-minded prose yet contains little rigor or specificity.

The Common Core mathematics standards are grade-by-grade‒specific and hence are more detailed than the NCTM 2000 standards, but they do resemble them in setting their sights lower than our international competitors, by, for example, locking algebra into the high school curriculum.

And they contain inexplicable holes even when compared to the much shorter NCTM Curriculum Focal Points, the major one being the absence of fraction conversion among their multiple representations (simple, decimal, percent). Other puzzling omissions include geometry basics such as derivation of area of general triangles or the concept of pi. One can argue those can be inferred, but the same can be said regarding all those state standards we acknowledge as “bad”—that all those missing pieces “can be inferred.”

How do the Common Core math standards compare to those in use in the world’s highest-performing nations?

the Common Core standards are not on par with those of the highest-performing nations.

Professor R. James Milgram of Stanford, the only professional mathematician on the Common Core Validation Committee, wrote when he declined to sign off on the Common Core standards: This is where the problem with these standards is most marked. While the difference between these standards and those of the top states at the end of eighth grade is perhaps somewhat more than one year, the difference is more like two years when compared to the expectations of the high achieving countries—particularly most of the nations of East Asia.

Professor William McCallum, one of the three main writers of the Common Core mathematics standards, speaking at the annual conference of mathematics societies in 2010, said, While acknowledging the concerns about front-loading demands in early grades, [McCallum] said that the overall standards would not be too high, certainly not in comparison [with] other nations, including East Asia, where math education excels.

Jonathan Goodman, a professor of mathematics at the Courant Institute at New York University,

“The proposed Common Core standard is similar in earlier grades but has significantly lower expectations with respect to algebra and geometry than the published standards of other countries.”

The enrollment requirements of four-year state colleges overwhelmingly consist of at least three years of high school mathematics including algebra 1, algebra 2, and geometry, or beyond. Yet Common Core’s “college readiness” definition omits content typically considered part of algebra 2 (and geometry), such as complex numbers, vectors, trigonometry, polynomial identities, the Binomial Theorem, logarithms, logarithmic and exponential functions, composite and inverse functions, matrices, ellipses and hyperbolae, and a few more.

What should we make, then, of a recent study purporting to “validate” that Common Core standards indeed reflect college readiness?

Look at California’s standards for example. They are great standards and have been unchanged for over a decade, but many in math education hate them. They think they are all about rote mathematics, but I think such people have little understanding of mathematics.

We, in this country, are still not on the same page about what content is most important, even if everyone says they’ll take Common Core. Without a unified, concerted effort to teach real mathematics, there isn’t much chance of catching up.

In other countries, if you say “learn to multiply whole numbers,” no one questions how this should be done; students should learn and understand the standard algorithm. In the U.S., even if you say “learn to multiply whole numbers with the standard algorithm,” some people will declare wiggle room and try to avoid the standard algorithm.

What, then, are your main areas of disagreement?

Ze’ev refers to Andrew Porter’s work to support his argument that Common Core lacks focus.

he says that 39.55 percent of grades 3‒6 coarse-grained topics for the states are on Number Sense and Operations, but Common Core gets 55.47 percent. To me, that says that Common Core focuses on arithmetic in grades where arithmetic should be the focus, and that the states did not focus on arithmetic.

If Common Core is mediocre, then mediocre is being set at a high standard. There are many states that set a very different, and much lower, standard for mediocre.

I would take these interview comments with a grain of salt. Everyone is an expert.

I can tell you that Ze’ev had not taught and I don’t think has spent any amount of time in the classroom. I served on a committee with Ze’ev evaluating questions for the California Standards Test.

Ze’ev is correct. I thought this long ago. It’s too vague and there is too much wiggle room. The wiggling will be in the downward direction. In fact, they don’t have to wiggle very much. Everyday Math will add a few more units and Math Boxes about standard algorithms, and then they will continue to trust the spiral.

BY FAR the majority of the population did not “get” math when it was taught using the methods and approaches these pompous mathematicians propose. Like so many uninformed “experts” they think that if we just teach math the way they learned it every things will be smooth sailing. But we taught math their way for a very, very long time and we failed. And that’s when the world hd very little technology, far less problems to solve, and agriculture and manufacturing ruled the world. But the world has changed fellas. And we now have scientific research that debunks the didactic, direct, one-way approach to learning math. For one thing we’ve learned that the brain doesn’t learn for the long term the way they propose. Their methods work to pass tests in the short run, but do little to instill knowledge retention and application of the mathematics in solving real problems. If their approaches to learning math worked, we wouldn’t have a very large segment of the adult population, including a lot of elementary teachers, saying things like, I never got math, I hate math, math is too hard.

Thankfully, we’re finally moving toward an educational system that honors the mathematical practices on which the CCSS were developed.

Bottom line… We need to ensure that our students are getting a solid foundation at the early grades to ensure that they are able to engross themselves in deeper, more abstract problems in the future. This, I believe will be enhanced by the common core although I would agree that the standards themselves do not fix the issues.

we believe that states can minimize the cost by taking advantage of emerging best practices and consciously repurposing existing state funding streams focused on these areas.

We first estimated the expenses associated with a business-as-usual scenario, in which states simply spend more on traditional delivery methods—hard-copy textbooks, face-to-face professional development, and paper-based standardized tests. Such an approach would, according to our calculations, require an additional $12 billion in spending across the 46 states and the District of Columbia, or an average increase of $289 in per-student spending.

The increase here would represent less than 3 percent of that figure.

With some changes in approach—what we call "balanced implementation"—the total cost could drop to less than half the estimate: roughly $5.1 billion, or $121 per student. And if we consider the fact that some existing resources could be repurposed, the additional net cost for states could be even lower, likely less than $100 per student.

What does our balanced-implementation scenario look like? Our ideas include:

• Moving away from hard-copy textbooks and doing more sharing of online materials.

platforms are available for self-publishing textbooks,

We can already see examples of cross-state sharing of curriculum and materials, such as the tri-state materials-sharing platform utilized by Massachusetts, New York, and Rhode Island.

• Using computer-administered technology to offer formative assessments.

• Delivering professional development through a mix of in-person and online instruction

Customized professional development should address the needs of individual teachers, including specific gaps in knowledge and areas needing growth.

states are not treating common-core implementation as something above and beyond their usual use of materials, assessments, and professional-development practices. Instead, they are viewing the transition to the common core as an opportunity to adapt their practices in an effort to deliver 21st-century education.

• States, districts, and charter providers must be willing to stop purchasing goods and services from their existing vendors if they don't meet their current needs, and seek out new vendors willing to take advantage of the opportunities the new standards present.

the commonness of the common core has the potential to restructure these markets dramatically, thus opening up a host of new opportunities, including cross-state resource sharing.

The conditions are ripe for locally developed curricular modules, lesson plans, formative assessments, and professional-development resources to have a national impact.

The commonality of the standards should be a blessing for individual classroom teachers, allowing them access to resources that meet their unique needs. The common standards, coupled with 21st-century technology, have the potential to create a new kind of community of districts, school leaders, and teachers—a community liberated to improve instruction in ways that were once thought to be impossible.

ightened purse strings should force states to seek cost-effective solutions that make the best use of funds while leading to the use of high-quality instructional materials, assessments, and professional development. Implementing the common core won't be cheap, but the expense will be worth it if it leads to improved teaching and learning.