First, I received yet another “makes-no-sense” common core math explanation from the Utah State Office of Education, via Ms. Diana Suddreth.

Next, I asked nationally recognized experts to help me digest Suddreth’s words. This included curricular expert Dr. Christopher Tienken of Seton Hall University, New Jersey, former Dept of Ed advisor and Hoover Institute (Stanford University visiting scholar) Ze’ev Wurman of California; and *U.S. Coalition for World Class Math* founder Barry Garelick.

This is what they wrote. (Ms. Suddreth’s writing is also posted below.)

From Dr. Christopher H. Tienken:

Christel,

The UTAH bureaucrat is referencing this book – see below. Look at chpts 7 and 11 for where I think she is gathering support.

http://books.nap.edu/catalog.php?record_id=9822

**Her answer still does not make curricular sense in that she explains that fluency with moving between fractions and decimals is assumed in some ways. With all due respect, the curriculum document is a legally binding agreement of what will be taught. Teachers are bound by law to follow it (of course many don’t but that is going to change with this new testing system).** Therefore, if it is not explicitly in the document, it might not get taught.

There are a lot of assumptions made in the Core. Just look at the Kindergarten math sequence. It assumes a lot of prior knowledge on the part of kids. That might be fine for some towns, but certainly not for others.

Perhaps the bureaucrat can point to specific standards that **call for students to demonstrate fluency in converting fractions to decimals** etc.

However, I think the bigger issue is that **parents now don’t have a say in terms of whether and how much emphasis is placed on those skills. Local control is one mechanism for parents to lobby for emphasis of content. Not all content is equally important to each community. The negotiation of “emphasis” is a local issue, but that has now been decided for parents by a distal force.**

Christopher H. Tienken, Ed.D.

Editor, AASA Journal of Scholarship & Practice

Editor, Kappa Delta Pi Record

Seton Hall University

College of Education and Human Services

Department of Education Leadership, Management, and Policy

South Orange, NJ

Visit me @: http://www.christienken.com

——————————————————————————–

**Dear Members of the Board,**

**Ms. Swasey forwarded to me an email that you have received recently, discussing how Utah Core supposedly handles the conversion between fraction forms. I would like to pass you my comments on that email.**

**First, let me briefly introduce myself. I am a visiting scholar at the Hoover Institution at Stanford University. I was a member of the California Academic Content Standards Commission in 2010, which reviewed the Common Core standards before their adoption by the state of California. Prior to that I served as a senior policy adviser at the U.S. Department of Education.**

**Response to Diana Suddreth’s note, passed to Utah’s Board of Education on April 23, regarding the question of conversion among fractional forms**

(Original in italics)

*The question that was originally asked was about converting fractions to decimals; therefore, the response pointed to the specific standard where that skill is to be mastered. A close reading of the Utah Core will reveal that the development of a conceptual understanding of fractions that leads to procedural skills begins in grade 3 and is developed through 7th grade. The new core does not list every specific procedure that students will engage in; however, explaining equivalence of fractions (3rd & 4th grade), ordering fractions (4th grade), understanding decimal notation for fractions (4th grade), and performing operations with fractions (4th, 5th, and 6th grade) all suggest and even require certain procedures to support understanding and problem solving.*

**Unfortunately, Ms. Suddreth does not address above the question at hand—whether, or how, does the Utah Core expect students to develop fluency and understanding with conversion among fractional representations of fractions, decimals and percent—and instead offers general description of how Utah Core treats fractions. This is fine as it goes, but it does not add anything to the discussion.**

In 5th grade, fractions are understood as division problems where the numerator is divided by the denominator. (In fact, the new core does a better job of this than the old where fractions were more often treated as parts of a whole, without also relating them to division.)

**The above is incorrect. In grade 5, as in previous grades, the Common Core (or Utah Core, if you will) frequently treats fractions as “parts of the whole.” There is no other way to interpret grade 5 standards such as “Solve word problems involving addition and subtraction of fractions referring to the same whole … e.g., by using visual fraction models …” (5.NF.2) or “Interpret the product (a/b) × q as a parts of a partition of q into b equal parts;” (5.NF.4a). All this, however, has little to do with the question at hand.**

*As for percents, students learn that percent is a rate per 100 (a fraction), a concept that is fully developed with a focus on problem solving in 5th and 6th grade.*

**Yet again Ms. Suddreth is clearly wrong. Percent are not even introduced by the Common (Utah) Core before grade 6.**

*The new core promotes a strong development of the understanding of fractions as rational numbers, including representations in decimal, fraction, or percent form. Mathematics is far too rich a field to be reduced to a series of procedures without looking at the underlying connections and various representations. There is nothing in the new core to suggest that students will not develop the kinds of procedural skills that support this depth of understanding.*

**Here, like in her first paragraph, Ms. Suddereth, avoids responding to the question and hopes that writing about unrelated issues will cover this void. The argument was never that the Common Core does not develop understanding of fractions as rational numbers, as decimals, and as percents. The argument was that such understanding is developed in isolation for each form, and that fluent conversion between forms is barely developed in a single standard that touches only peripherally on the conversion and does it at much later (grade 7) than it ought to. Fluency with conversion among fractional representations was identified as a key skill by the National Research Council, the NCTM, and the presidential National Math Advisory Panel. It is not some marginal aspect of elementary mathematics that should be “inferred” and “understood” from other standards. The Common Core is already full of painstakingly detailed standards dealing with fractions and arguing that such cardinal area as fluency with conversion (“perhaps the deepest translation problem in pre-K to grade 8 mathematics” in NRC’s opinion) should not be addressed explicitly is disingenuous.**

*The new core is, in fact, supported by the Curriculum Focal Points from NCTM, which do not conflict with anything in the new core, but rather provide detailed illustrations of how a teacher might focus on the development of mathematics with their students. The new core is based on the research in Adding It Up. Some of the researchers on that project were also involved in the development of the Common Core, which forms the basis for the Utah Core.*

**Curriculum Focal Points explicitly requires fluency with conversion between fractional forms by grade 7, which is absent in the Common Core. It also, for example, expects fluency with dividing integers and with addition and subtraction of decimals by grade 5, which the Common Core expects only by grade 6. One wonders what else it would take to make Ms. Suddreth label them as in conflict. One also wonders how much is the Common Core really “based on the research in Adding It Up” if it essentially forgot even to address what Adding It Up considers “perhaps the deepest translation problem in pre-K to grade 8 mathematics”—the conversion among fractions, decimals, and percent.**

**In summary, Ms. Suddereth’s note passed to you by Ms. Pyfer contains both misleading and incorrect claims and is bound to confuse rather than illuminate.**

**Ze’ev Wurman**

** zeev@ieee.org**

** Palo Alto, Calif.**

** 650-384-5291**

—————–

*From Barry Garelick of the U.S. Coalition for World Class Math:*

BG

——————

From: Tami Pyfer <tami.pyfer@usu.edu>

Date: Tue, Apr 23, 2013 at 8:22 PM

Subject: Follow-up on Question about math standard

To: Board of Education <Board@schools.utah.gov>, “Hales, Brenda (Brenda.Hales@schools.utah.gov)” <Brenda.Hales@schools.utah.gov>

Cc: “Christel S (212christel@gmail.com)” <212christel@gmail.com>, “Diana Suddreth (Diana.Suddreth@schools.utah.gov)” <Diana.Suddreth@schools.utah.gov>

Dear Board members-

The note below from Diana Suddreth is additional information that I hope will be helpful for you in understanding the questions you may have gotten regarding the claim that the new math core doesn’t require students to know how to convert fractions to decimals, or addresses the skill inadequately. Diana has just returned from a math conference and I appreciate her expertise in this area and the additional clarification.

Please feel free to share this with others who may be contacting you with questions.

Hope this helps!

Tami

The question that was originally asked was about converting fractions to decimals; therefore, the response pointed to the specific standard where that skill is to be mastered. A close reading of the Utah Core will reveal that the development of a conceptual understanding of fractions that leads to procedural skills begins in grade 3 and is developed through 7th grade. The new core does not list every specific procedure that students will engage in; however, explaining equivalence of fractions (3rd & 4th grade), ordering fractions (4th grade), understanding decimal notation for fractions (4th grade), and performing operations with fractions (4th, 5th, and 6th grade) all suggest and even require certain procedures to support understanding and problem solving. In 5th grade, fractions are understood as division problems where the numerator is divided by the denominator. (In fact, the new core does a better job of this than the old where fractions were more often treated as parts of a whole, without also relating them to division.) As for percents, students learn that percent is a rate per 100 (a fraction), a concept that is fully developed with a focus on problem solving in 5th and 6th grade.

The new core promotes a strong development of the understanding of fractions as rational numbers, including representations in decimal, fraction, or percent form. Mathematics is far too rich a field to be reduced to a series of procedures without looking at the underlying connections and various representations. There is nothing in the new core to suggest that students will not develop the kinds of procedural skills that support this depth of understanding.

The new core is, in fact, supported by the Curriculum Focal Points from NCTM, which do not conflict with anything in the new core, but rather provide detailed illustrations of how a teacher might focus on the development of mathematics with their students. The new core is based on the research in Adding It Up. Some of the researchers on that project were also involved in the development of the Common Core, which forms the basis for the Utah Core.

Diana Suddreth, STEM Coordinator

Utah State Office of Education

Salt Lake City, UT

———————————–

From: Christel S [212christel@gmail.com]

Sent: Tuesday, April 23, 2013 10:42 PM

Subject: Follow-up on Question about math standard

**My math and curriculum friends, I don’t know how to argue with these people. Can you assist? Here we have countless parents hating the common core math, and reviewers telling us it puts us light years behind legitimate college readiness, but the USOE continues the charade.**

**Please help– point me to facts and documentation that will make sense to the average person. Thank you.**

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