The State of State Math Standards 2005 by David Klein
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2005 The State of by David Klein with Bastiaan J. Braams, Thomas Parker, William Quirk, State MATH Wilfried Schmid, and W. Stephen Wilson Technical assistance from Ralph A. Raimi and Lawrence Braden Standards Analysis by Justin Torres Foreword by Chester E. Finn, Jr. The State of State MATH Standards 2005 by David Klein With Bastiaan J. Braams, Thomas Parker, William Quirk, Wilfried Schmid, and W. Stephen Wilson Technical assistance by Ralph A. Raimi and Lawrence Braden Analysis by Justin Torres 1627 K Street, Northwest Foreword by Chester E. Finn, Jr. Suite 600 Washington, D.C. 20006 202-223-5452 202-223-9226 Fax JANUARY 2005 www.edexcellence.net THOMAS B. FORDHAM FOUNDATION 1 The Thomas B. Fordham Foundation is a nonprofit organization that conducts research, issues publications, and directs action projects in elementary/secondary education reform at the national level and in Dayton, Ohio. It is affiliated with the Thomas B. Fordham Institute. Further information is available at www.edexcellence.net, or write us at 1627 K Street, Northwest Suite 600 Washington, D.C. 20006 This report is available in full on the Foundation’s website. Additional copies can be ordered at www.edexcellence.net/publication/order.cfm or by calling 410-634-2400. The Thomas B. Fordham Foundation is neither connected with nor sponsored by Fordham University. 2 CONTENTS Foreword by Chester E. Finn, Jr. .5 Executive Summary . .9 The State of State Math Standards 2005 by David Klein . .13 Major Findings . .13 Common Problems . .14 Overemphasized and Underemphasized Topics . .17 The Roots of, and Remedy for, Bad Standards . .23 Memo to Policy Makers by Justin Torres . .27 Criteria for Evaluation . .31 Clarity . .31 Content . .31 Reason . .32 Negative Qualities . .34 State Reports Alabama . .37 Montana . .79 Alaska . .38 Nebraska . .79 Arizona . .39 Nevada . .80 Arkansas . .41 New Hampshire . .81 California . .42 New Jersey . .83 Colorado . .45 New Mexico . .85 Connecticut . .47 New York . .87 Delaware . .48 North Carolina . .89 District of Columbia . .50 North Dakota . .91 Florida . .52 Ohio . .92 Georgia . .54 Oklahoma . .94 Hawaii . .56 Oregon . .95 Idaho . .58 Pennsylvania . .96 Illinois . .59 Rhode Island . .98 Indiana . .61 South Carolina . .100 Kansas . .63 South Dakota . .101 Kentucky . .64 Tennessee . .103 Louisiana . .65 Texas . .104 Maine . .67 Utah . .107 Maryland . .68 Vermont . .109 Massachusetts . .70 Virginia . .111 Michigan . .72 Washington . .113 Minnesota . .74 West Virginia . .115 Mississippi . .75 Wisconsin . .117 Missouri . .77 Wyoming . .118 Methods and Procedures . .121 Appendix . .123 About the Expert Panel . .127 THOMAS B. FORDHAM FOUNDATION 3 4 The State of State Math Standards, 2004 Foreword Chester E. Finn, Jr. Two decades after the United States was diagnosed as “a strengthen K-12 academic achievement. The summi- nation at risk,” academic standards for our primary and teers called for “new world-class standards” for U.S. secondary schools are more important than ever—and schools. And by 1998, 47 states had outlined K-12 stan- their quality matters enormously. dards in mathematics. In 1983, as nearly every American knows, the National But were they any good? We at the Thomas B. Fordham Commission on Excellence in Education declared that Foundation took it upon ourselves to find out. In early “The educational foundations of our society are 1998, we published State Math Standards, written by the presently being eroded by a rising tide of mediocrity distinguished mathematician Ralph Raimi and veteran that threatens our very future as a Nation and a peo- math teacher Lawrence Braden. Two years later, with ple.” Test scores were falling, schools were asking less of many states having augmented or revised their academ- students, international rankings were slipping, and col- ic standards, we published The State of State Standards leges and employers were complaining that many high 2000, whose math review was again conducted by school graduates were semi-literate. America was Messrs. Raimi and Braden. It appraised the math stan- gripped by an education crisis that centered on weak dards of 49 states, conferring upon them an average academic achievement in its K-12 schools. Though that grade of “C.” weakness had myriad causes, policy makers, business leaders, and astute educators quickly deduced that the Raising the Stakes surest cure would begin by spelling out the skills and knowledge that children ought to learn in school, i.e., Since that review, standards-based reform received a setting standards against which progress could be major boost from the No Child Left Behind act (NCLB) tracked, performance be judged, and curricula (and of 2002. Previously, Washington had encouraged states textbooks, teacher training, etc.) be aligned. Indeed, the to set standards. Now, as a condition of federal educa- vast education renewal movement that gathered speed tion assistance, they must set them in math and reading in the mid-1980s soon came to be known as “stan- (and, soon, science) in grades 3 through 8; develop a dards-based reform.” testing system to track student and school performance; and hold schools and school systems to account for By 1989, President George H.W. Bush and the governors progress toward universal proficiency as gauged by agreed on ambitious new national academic goals, those standards. including the demand that “American students will leave grades 4, 8, and 12 having demonstrated competency in Due mostly to the force of NCLB, more than 40 states challenging subject matter” in the core subjects of have replaced, substantially revised, or augmented their English, mathematics, science, history, and geography. K-12 math standards since our 2000 review. NCLB also raised the stakes attached to those standards. States, In response, states began to enumerate academic stan- districts, and schools are now judged by how well they dards for their schools and students. In 1994, are educating their students and whether they are rais- Washington added oomph to this movement (and more ing academic achievement for all students. The goal, subjects to the “core” list) via the “Goals 2000” act and a now, is 100 percent proficiency. Moreover, billions of revision of the federal Title I program. dollars in federal aid now hinge on whether states con- Two years later, the governors and business leaders con- scientiously hold their schools and districts to account vened an education summit to map out a plan to for student learning. THOMAS B. FORDHAM FOUNDATION 5 Thus, a state’s academic standards bear far more weight Braden—was in weighting the four major criteria than ever before. These documents now provide the against which state standards are evaluated. foundation for a complex, high-visibility, high-risk As Klein explains on page 9, the review team conclud- accountability system. “Standards-based” reform is the ed that today the single most important consideration most powerful engine for education improvement in for statewide math standards is the selection (and accu- America, and all parts of that undertaking—including racy) of their content coverage. Accordingly, content teacher preparation, textbook selection, and much now counts for two-fifths of a state’s grade, up from 25 more—are supposed to be aligned with a state’s stan- percent in earlier evaluations. The other three criteria dards. If that foundation is sturdy, such reforms may (clarity, mathematical reasoning, and the absence of succeed; if it’s weak, uneven, or cracked, reforms erect- “negative qualities”) count for 20 percent each. If the ed atop it will be shaky and, in the end, could prove content isn’t there (or is wrong), our review team worse than none at all. judged, such factors as clarity of expression cannot compensate. Such standards resemble clearly written recipes that use the wrong ingredients or combine Constancy and Change them in the wrong proportions. Mindful of this enormous burden on state standards, and aware that most of them had changed substantially Glum Results since our last review, in 2004 we initiated fresh appraisals in mathematics and English, the two subjects at NCLB’s Though the rationale for changing the emphasis was heart. To lead the math review, we turned to Dr. David not to punish states, only to hold their standards to Klein, a professor of mathematics at California State higher expectations at a time when NCLB is itself rais- University, Northridge, who has long experience in K-12 ing the bar throughout K-12 education, the shift in cri- math issues. We encouraged him to recruit an expert teria contributed to an overall lowering of state “grades.” panel of fellow mathematicians to collaborate in this Indeed, as the reader will see in the following pages, the ambitious venture, both to expose states’ standards to essential finding of this study is that the overwhelming more eyes, thus improving the reliability and consisten- majority of states today have sorely inadequate math cy of the ratings, and to share the work burden. standards. Their average grade is a “high D”—and just six earn “honors” grades of A or B, three of each. Fifteen Dr. Klein outdid himself in assembling such a panel of states receive Cs, 18 receive Ds and 11 receive Fs. (The five eminent mathematicians, identified on page 127. District of Columbia is included in this review but Iowa We could not be more pleased with the precision and is not because it has no statewide academic standards.) rigor that they brought to this project. Tucked away in these bleak findings is a ray of hope. It is inevitable, however, that when reviewers change, Three states—California, Indiana, and Massachusetts— reviews will, too. Reviewing entails judgment, which is have first-rate math standards, worthy of emulation. If inevitably the result of one’s values and priorities as well they successfully align their other key policies (e.g., as expert knowledge and experience.