Measuring What Counts

Measuring What Counts

A Conceptual Guide for Mathematics Assessment

  • Publisher: National Academies Press
  • ISBN: 9780309049818
  • eISBN Pdf: 9780309586030
  • Place of publication:  United States
  • Year of digital publication: 1993
  • Month: January
  • Pages: 240
  • DDC: 507
  • Language: English

To achieve national goals for education, we must measure the things that really count. Measuring What Counts establishes crucial research- based connections between standards and assessment.

Arguing for a better balance between educational and measurement concerns in the development and use of mathematics assessment, this book sets forth three principles—related to content, learning, and equity—that can form the basis for new assessments that support emerging national standards in mathematics education.

  • MEASURING WHAT COUNTS
  • Copyright
  • Contents
  • PREFACE
  • ACKNOWLEDGMENTS
  • EXECUTIVE SUMMARY
    • MATHEMATICS IN TODAY'S WORLD
    • ASSESSMENT IN TODAY'S WORLD
    • ASSESSMENT IN THE SERVICE OF EDUCATION
    • THE CONTENT PRINCIPLE
    • THE LEARNING PRINCIPLE
    • THE EQUITY PRINCIPLE
    • OBSTACLES AND CHALLENGES
    • BENEFITS FROM IMPROVED ASSESSMENT
    • LOOKING TO TOMORROW
  • 1—A VISION OF SCHOOL MATHEMATICS
    • CHANGES IN MATHEMATICS AND IN MATHEMATICS EDUCATION
    • WHAT MATHEMATICS SHOULD BE LEARNED
    • HOW MATHEMATICS SHOULD BE TAUGHT
    • WHO SHOULD LEARN MATHEMATICS
    • CURRENT EFFORTS AT REFORM
    • ENDNOTES
  • 2—A VISION OF MATHEMATICS ASSESSMENT
    • THE ROLE OF ASSESSMENT IN REFORM
    • PRINCIPLES FOR ASSESSING MATHEMATICS LEARNING
    • EDUCATIONAL PRINCIPLES IN CONTEXT
    • ENDNOTES
  • 3—ASSESSING IMPORTANT MATHEMATICAL CONTENT
    • DESIGNING NEW ASSESSMENT FRAMEWORKS
      • BEYOND TOPIC-BY-PROCESS FORMATS
      • SPECIFYING ASSESSMENT FRAMEWORKS
    • DEVELOPING NEW ASSESSMENT TASKS
      • TASKS REFLECTING MATHEMATICAL CONNECTIONS
      • THE CHALLENGES IN MAKING CONNECTIONS
      • TASKS REQUIRING COMMUNICATION
      • SOLVING NONROUTINE PROBLEMS
      • MATHEMATICAL EXPERTISE
    • SCORING NEW ASSESSMENTS
      • JOINING TASK DEVELOPMENT TO STUDENT RESPONSES
      • EVALUATING RESPONSES TO REFLECT THE CONTENT PRINCIPLE
    • REPORTING ASSESSMENT RESULTS
    • ENDNOTES
  • 4—ASSESSING TO SUPPORT MATHEMATICS LEARNING
    • ASSESSMENT IN SUPPORT OF LEARNING
      • LEARNING FROM ASSESSMENT
      • PROVIDING FEEDBACK AND OPPORTUNITIES TO REVISE WORK
      • LEARNING FROM THE SCORING OF ASSESSMENTS
      • STIMULATING MOTIVATION, INTEREST, AND ATTENTION
    • ASSESSMENT IN SUPPORT OF INSTRUCTION
      • INTEGRATING INSTRUCTION AND ASSESSMENT
      • USING ASSESSMENT RESULTS FOR INSTRUCTION
    • ASSESSMENT IN SUPPORT OF TEACHERS
    • ENDNOTES
  • 5—ASSESSING TO SUPPORT EQUITY AND OPPORTUNITY IN MATHEMATICS LEARNING
    • DEVELOPING ASSESSMENTS TO INCREASE EQUITY
      • DESIGN FEATURES
      • SUPPORTING STRATEGIES
    • INTERPRETING ASSESSMENT RESULTS
    • USING ASSESSMENTS TO COMMUNICATE NEW EXPECTATIONS
      • PROMOTING PUBLIC INVOLVEMENT
      • PROMOTING COMMUNITY UNDERSTANDING OF ASSESSMENT REFORM
      • CHALLENGING TEACHERS' EXPECTATIONS
      • HELPING STUDENTS UNDERSTAND AND MEET NEW EXPECTATIONS
    • USING ASSESSMENT RESULTS TO SUPPORT OPPORTUNITY
      • RETHINKING ASSESSMENT USE FOR SORTING AND GROUPING
      • PROVIDING SAFEGUARDS FOR STUDENTS
      • PROVIDING SAFEGUARDS FOR SCHOOLS
      • HOLDING ALL STUDENTS TO HIGH EXPECTATIONS
    • ENDNOTES
  • 6—EVALUATING MATHEMATICS ASSESSMENTS
    • THE CONTENT PRINCIPLE
      • CONTENT OF TASKS
      • CURRICULAR RELEVANCE
    • THE LEARNING PRINCIPLE
      • IMPROVED LEARNING
      • BETTER INSTRUCTION
      • EFFECTS ON THE EDUCATIONAL SYSTEM
    • THE EQUITY PRINCIPLE
      • FAIRNESS AND COMPARABILITY
      • OPPORTUNITY TO LEARN
      • ACCESS
    • GENERALIZATION
    • EVIDENCE
    • COSTS AND BENEFITS
    • POSTSCRIPT
    • ENDNOTES
  • COMMISSIONED PAPERS
    • EFFECTS OF MANDATED TESTING ON INSTRUCTION
      • EFFECTS ON CURRICULUM
        • CHANGES IN CONTENT
        • CURRICULUM ALIGNMENT
      • EFFECTS ON TEACHING PRACTICE
        • TEST PREPARATION
        • CLASSROOM ASSESSMENT PRACTICES
      • EFFECTS ON TEACHERS
      • EFFECTS ON STUDENTS
      • CONCLUSIONS
    • ENDNOTES
    • DESIGN INNOVATIONS IN MEASURING MATHEMATICS ACHIEVEMENT
      • CONTENT CONSIDERATIONS FOR MATHEMATICS ACHIEVEMENT
      • BEYOND PROFESSIONAL JUDGMENT IN THE VALIDATION PROCESS
      • INFLUENCES ON GENERALIZABILITY AND TRANSFER
      • TASK SAMPLING AND AGGREGATE REPORTS TO THE PUBLIC
      • SUMMARY AND CONCLUSIONS
    • ENDNOTES
    • LEGAL AND ETHICAL ISSUES IN MATHEMATICS ASSESSMENT
      • RACE AND THE EFFECTS OF EDUCATIONAL REFORM
      • IMPACT ON PEOPLE WITH HANDICAPPING CONDITIONS
      • GENDER-RELATED EFFECTS
      • ACCESS TO INSTRUCTION FOR ALL STUDENTS
      • ISSUES OF PERSONAL CHOICE
      • EQUITY AND THE GOVERNANCE OF EDUCATION
      • EQUITY AND ECONOMICS
      • CONCLUSION
    • ENDNOTES
  • STUDY GROUP ON GUIDELINES FOR MATHEMATICS ASSESSMENT
  • MSEB MEMBERS

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