PA Coalition for World Class Math

                                              Mathematics Standards

World Class Math Standards

 Update: The U.S. Coalition for World Class Math, in conjunction with its state affiliates has released Designed Principles for K-12 Mathematics Standards. The Design Principles can be found here.

World Class Math Standards Are:

Mathematically sound with respect to the selection, emphasis, and progression of topics; and mathematically accurate in all aspects. In compliance with the National Math Panel's Final Report, fluency in the standard algorithms of arithmetic is required in a timely manner, as is fluency in computation with fractions, decimals, and negative numbers, and the quick / automatic recall of number facts. Read about the importance of the standard algorithms here.

  • Developed with significant involvement by professional mathematicians, in addition to mathematics educators and others. The National Mathematics Advisory Panel's Final Report:  Foundations forMathematics Framework identifies the highest priorities among the California Math Standards and provides examples to show exactly what is expected at each grade level

    Indiana: Indiana's Math Standards consistently receive high ratings.

    Massachusetts: The Adopted Standards and the 2004 Supplement also receive high ratings consistently.

    Washington: The state of Washington recently upgraded its math standards. A group of parents, university math professors, and other concerned Washington citizens volunteered their time and talents to create the Washington Exemplary Mathematics Standards. The standards officially adopted by the state of Washington relied heavily on this citizens' draft.

    The 2001 Singapore Math Standards should also be used for benchmarking. These standards underpinned the first-in-the-world performance of Singapore's students at fourth and eighth grade through repeated administrations of the TIMSS assessment.

    A final note on the importance of including professional mathematicians in the standards-developing and review process:

    Dr. Sandra Stotsky's letter to the editor of Time magazine (4/30/09) responds to Walter Isaacson's 4/15/09 article, "How to Raise the Standard in America's Schools." Stotsky writes:

    "One alarm bell Isaacson's article should have rung is why no one seems to expect the participation of the nation's mathematicians or their two professional societies in the construction of national mathematics standards for K-12. No other nation would dream of developing national mathematics standards without a sign-off by the country's mathematics community. Perhaps this exclusion of mathematicians is one reason children in the U.S. do not do as well on the international scene in mathematics as we would like them to. As a former official at the Massachusetts Department of Education, I will tell you that students' 2007 scores in international testing in that state showed that the involvement of mathematicians and scientists in the development of its nationally recognized mathematics and science standards and assessments made a difference." Sandra Stotsky, Fayetteville, AR

    How Math Standards Impact Your Child's Education 

    Mathematics content standards have a profound impact on classroom instruction. Many local districts refer directly to the standards when designing programs, selecting textbooks, and creating assessments to measure student progress. Additionally, our state test – the PSSA – must, by law, be aligned with the PA math standards. Accountability rules ensure that classroom teachers stress the standards’ "eligible content." Improving math standards is a key step in improving math instruction in Pennsylvania.

  • Based on international benchmarks of global leaders such as Singapore, Finland, Hong Kong, Belgium, and Japan. Nationally recognized state standards are also useful as models: California, Indiana, and Massachusetts were leaders in creating internationally benchmarked standards that are worthy of being emulated.  (Additional links to these standards appear below.)
  • Streamlined, with fewer topics for greater depth of learning.
  •  Cautious of calculator use in early grades; no calculators used in state tests in early grades.
  •  Informed by the National Math Advisory Panel's Final Report and the NCTM's Curricular Focal Points document. See our page on the National Math Panel  specialists, classroom teachers, and the general public, in the standard-setting process and in the review and design of mathematical test items for state, NAEP, and commercial tests." 
  • Coherent and easy to use and understand; they specify essential content for each year at the elementary and middle school level and for Algebra I, Geometry, and Algebra II. They enable parents, teachers, curriculum developers and other

      The following states have clear, coherent, user-friendly standards that were benchmarked to those of the highest performing countries on such international comparisons as TIMSS and PISA. They merit use as models or templates for states and other entities involved in writing mathematics standards.  

    California: Widely regarded as the gold standard, the California Mathematics Framework identifies the highest priorities among the California Math Standards and provides examples to show exactly what is expected at each grade level

    Indiana: Indiana's Math Standards consistently receive high ratings.

    Massachusetts: The Adopted Standards and the 2004 Supplement also receive high ratings consistently.

    Washington: The state of Washington recently upgraded its math standards. A group of parents, university math professors, and other concerned Washington citizens volunteered their time and talents to create the Washington Exemplary Mathematics Standards. The standards officially adopted by the state of Washington relied heavily on this citizens' draft.

    The 2001 Singapore Math Standards should also be used for benchmarking. These standards underpinned the first-in-the-world performance of Singapore's students at fourth and eighth grade through repeated administrations of the TIMSS assessment.

    How Math Standards Impact Your Child's Education 

    Mathematics content standards have a profound impact on classroom instruction. Many local districts refer directly to the standards when designing programs, selecting textbooks, and creating assessments to measure student progress. Additionally, our state test – the PSSA – must, by law, be aligned with the PA math standards. Accountability rules ensure that classroom teachers stress the standards’ "eligible content." Improving math standards is a key step in improving math instruction in Pennsylvania.

  • Pennsylvania Standards: Improvement Needed  

    The Thomas B. Fordham Institute, the U.S. Chamber of Commerce, and the American Federation of Teachers have all conducted reviews of state mathematics standards. All agree that Pennsylvania students and teachers need and deserve better standards in math. 

     Fordham Institute: "D" for PA Math Standards

    The Thomas B. Fordham Institute    is a not-for-profit organization that conducts research in education in the United States. It has reviewed the mathematics standards in all   50 states. It awarded an "A" grade to only three states: California, Indiana, and Massachusetts. The  full report can be found here:   State of the State Math Standards.

    Other states, including PA, were given lower ratings for these reasons:

    • Widespread use of calculators
    •  Disregard for memorization of basic facts
    • Insufficient emphasis on the standard algorithms
    • Inadequate attention to fraction arithmetic
    • Exessive focus on patterns and manipulatives
    • Overemphasis on estimation and data analysis

    The Pennsylvania review - a grade of "D" - can be found here: Fordham gives PA math standards a "D."

    California, Indiana, and Massachusetts were the only states awarded "A's": Fordham reviews of the "A" states.

     American Federation of Teachers (AFT) findings: Pennsylvania math standards do not meet criteria for clarity, specificity, and content

    The AFT reviews content standards in all subject areas including mathematics. The AFT review found the PA math standards do not meet criteria for clarity, specificity, and content in any grade band (elementary, middle school, and high school). 

     U.S. Chamber of Commerce: "D" grade for PA Standards

    In its "Leaders and Laggards" report, the U.S. Chamber of Commerce gave PA a grade of "D" for "rigor of standards.

     

     

     

     

     "Common Core" Standards

    From Jay P. Greene’s Blog 6-09-09

    The National Standards Sausage-Making

    Every decade or so we have to debate the desirability of adopting national standards for education.  People tend to be in favor of them when they imagine that they are the ones writing the standards.  But when everyone gets into the sausage-making that characterizes policy formulation, it generally becomes clear that no one is going to get what they want out of national standards.  What’s worse is that the resulting mess would be imposed on everyone.  There’d be no more laboratory of the states, just uniform banality.

    Of course, some people always hope that they’ll somehow manage to sneak their preferred vision into place without having to go through the meat grinder.  That’s what is happening now with the National Governor’s Association effort at “voluntary” national standards.  In a process completely lacking in transparency and open-debate, some are rushing to announce a national standards fait accompli.

    My colleague Sandra Stotsky tells us what’s what:

    “If another country wanted other countries to respect its educational system and the reforms it was trying to make, who would it choose to lead such an important professional project as the development of its national standards in mathematics and in the language of its educational system itself?  In any other country in the world, one would expect a distinguished mathematician at the college level to be asked to chair the mathematics standards-writing committee–someone who commands the respect of the mathematics profession (and obviously is an expert on mathematics).   For the language standards-writing committee, one would likewise expect an eminent scholar in a college-level department–someone whose command of the language and understanding of the texts that inform the development of this language could not be questioned.   If the National Governors Association and the Council of Chief State School Officers had thought about national pride (and national need) as well as academic/educational expertise, then all of us would respect the Common Core Initiative and look forward with eagerness to the drafts the NGA and CCSSO have promised to make public in July.

     These two organizations could have followed, for example, the exemplary procedures followed by the National Mathematics Advisory Panel, on which I had the privilege to serve.  The Panel was chaired by the former president of one of the major universities in the country, all Panel members were identified at the outset, their qualifications were made known to the pubic, their procedures were open to the public and taped as well, and the final product was hammered out in public, after dozens of reviewers provided critical comments. 

     But instead of choosing nationally known scholars to chair and staff these committees–to assure us of the integrity and quality of the product–the NGA and the CCSSO have, for reasons best known to themselves,  treated the initiative as a private game of their own.  The NGA and the CCSSO haven’t even bothered to inform the public who is chairing these committees, who is on them, why they were chosen, what their credentials are, and why we should have any confidence whatsoever in what they come up with. 

     One person has announced on his own to the press and to a state department of education that he is chairing the mathematics standards-writing committee. He has not been contradicted by anyone at NGA or CCSSO, so we must assume he’s for real.  It turns out he is an English major with no academic degrees in mathematics whatsoever.  No one has yet announced on his/her own that he/she is chairing the English standards-writing committee.   One wag has already wondered whether this person might be a mathematics major with no academic degrees in English.  But it’s possible the sad joke in mathematics is not being repeated in English. 

     This country deserved better for a project of such national importance.”

    Sandy Kress added these words of wisdom (pardon the capitalization since this was a comment on a post at Eduwonk):

    “i suspect after the good feelings wear off, other governors and chiefs will begin to ask whether they can or should consider new standards at this time. once they learn about how hard it is to write new standards, they will ask even more questions. when we get to the controversies around whole language vs. phonics, they will ask more questions still. then comes computation vs. concepts. then comes all the many questions that arise once you get below the level of 30,000 feet. then – God forbid – you might even get to the place where you might possibly find the new standards under consideration to be no better than (or even possibly worse than) the standards you have! could it be that the tradeoffs that happen nationally will be the same as those that occur in the states? could the same interest groups intervene? could this nice dream be interrupted by the demons that bedevil state standard setting? could these interests be the problem as much as variation? oh no, could it be there’s no santa… no, i won’t go there.

    and, oh yes, what about performance standards? if we ever get to detailed precise standards in each grade for reading and math, do the participants agree to common performance standards? if they don’t, who’s kidding whom? the real problem today is not so much that some states have vastly higher standards than other states; it’s more that their performance standards are greatly different. have the states, or will the states, commit to making those the same? if not, this will be utterly fruitless.

    listen – DO NOT GET ME WRONG – i’m all for higher, fewer, clearer standards. i’ve spent a lot of time working on improving texas’ standards over the past 20 years. i’ve spent a lot of time with the hunt institute pushing more common standards. this is indeed the right thing to do.

    but this process is going to be much more difficult than some think. it won’t happen overnight, nor should it. and there will remain great variation at the end of the day. it is utterly naiive and/or foolish to expect states to jump track from their current gameplans, particularly where they’re reasonably well thought out.

    be prepared for states to recognize this “the morning after.” texas just recognized it before “the drinking began.”

    also be prepared to realize that a better approach might be for one or more of these organizations to begin by recruiting the best and the brightest and actually doing the hard work of developing a few sets of model standards and then shopping them to the states, with the political support of those who rightly want high, common standards as well as perhaps some incentives from the feds to take these steps.” 

    http://jaypgreene.com-/2009/06/09/the-national-standards-sausage-making/

    On Wednesday, April 29, 2009 the House Committee on Education and Labor held a hearing to examine how states can better prepare their students to compete in a global economy by using internationally benchmarked common standards.

    Or view the Archived Webcast.
    Witnesses:
    • The Honorable James B. Hunt, Jr. » Former Governor of North Carolina and Foundation Chair James B. Hunt, Jr. Institute for Educational Leadership and Policy Durham, North Carolina
    • Ken James » Commissioner of Education Arkansas Department of Education Little Rock, Arkansas
    • Greg Jones » Chair California Business for Excellence in Education (CBEE) Sacramento, California
    • Dave Levin » Co-Founder KIPP: Knowledge Is Power Program New York, New York
    • Randi Weingarten » President American Federation of Teachers New York, New York
    Additional Items Submitted for the Record:

                                                  Mathematics Standards

    World Class Math Standards   

     Update: The U.S. Coalition for World Class Math, in conjunction with its state affiliates has released Designed Principles for K-12 Mathematics Standards. The Design Principles can be found here.

    World Class Math Standards Are:

    Mathematically sound with respect to the selection, emphasis, and progression of topics; and mathematically accurate in all aspects. In compliance with the National Math Panel's Final Report, fluency in the standard algorithms of arithmetic is required in a timely manner, as is fluency in computation with fractions, decimals, and negative numbers, and the quick / automatic recall of number facts. Read about the importance of the standard algorithms here.