Common Core State Standards for Mathematics: Dream Come True or Nightmare to Come?

Abstract

High stakes tests should assess what the public values from education, but they too often fall short of measuring the many and varied student learning outcomes that actually occur in classrooms. For example, in 1997, I coauthored a pair of articles (Dickey & Robyler, 1997, 1997-98) that documented how multiplechoice items on national and international high-stakes assessments are incapable of measuring the types of learning afforded by using technology. As a result, critics of technology integration would have and use data (albeit invalid) to claim that technology does not contribute to student achievement. Our argument was that the tests would show no impact of technology on student achievement scores because the items on those tests were not designed to measure the contributions of technology or the use of integrated curriculum. It is my hope and belief that now, finally, the types of tests that measure the complex learning that occurs when, for example, technology is meaningfully infused or integrative curriculum is implemented will soon be available and used throughout the United States. The adoption of the Common Core State Standards by nearly all states makes this dream a reality.The Common Core State Standards for Mathematics (CCSSM) are an evolutionary step that builds on the National Council of Teachers of Mathematics (NCTM) 1989 and 2000 standards. Adoption of the CCSSM by so many states provides coherent and rigorous expectations for the nation and also affords the possibility of creating the high-quality tests needed to measure those standards. By broadening the testing pool to 50 million learners for two tests, the Smarter Balanced Assessment Consortium (SBAC) and the Partnership for Assessment of Readiness for College and Careers (PARCC) have the economies of scale required to create new tests that validly assess the standards, which value conceptual understanding and the various processes and proficiencies, known as practices, critically important to learning mathematics.The CCSSM for the middle grades build on a foundation from earlier grades, informed by current research on learning progressions in key concept areas of mathematics. For example, fractions are addressed in grades 3 through 5 using progressions that build on and extend learning based on unit fractions and number line representations (Wu, 2011). Fraction learning serves as a foundation for the algebraic thinking stream within grades 6-8 that includes the domains of the Number System and of Expressions & Equations as well as standards that address Ratios & Proportional Relationships, Geometry, Functions, and Statistics & Probability. Now grades 6-8 students and their teachers can benefit from lessons that blend skill development with essential understandings of concepts in ways that address the practices inherent to mathematics (see, e.g., Bush, Karp, Popelka, & Bennett, 2012). Also, students and teachers can be assured that the type of learning that integrates mathematics with other subjects, such as health education and cultural responsiveness, in the case of the lesson by Bush and associates (2012), will also be assessed through tests that align accurately to the content and practices. The test items under development by PARCC and SBAC, in many cases employing teachers as item writers and reviewers, are constructed to specifications that address student understanding and the mathematical practices stated in the standards. The released sample items, available at the consortia websites, provide a glimpse of the high-quality tests that will be implemented in 2014-2015.Also important for the middle grades is that the CCSSM address a breadth of mathematics content through a unified set of standards, as opposed to the common practice of accelerating high school courses with their own separate standards (e. …