Assessing Mathematical Proficiency

Paperback (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $31.26
Usually ships in 1-2 business days
(Save 30%)
Other sellers (Paperback)
  • All (7) from $31.26   
  • New (4) from $38.77   
  • Used (3) from $31.26   


Testing matters! It can determine kids' and schools' futures. In a conference at the Mathematical Sciences Research Institute, mathematicians, math education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. They examined: the challenges of assessing student learning in ways that support instructional improvement; ethical issues related to assessment, including the impact of testing on urban and high-poverty schools; the different (and sometimes conflicting) needs of the different groups; and, different frameworks, tools, and methods for assessment, comparing the kinds of information they offer about students' mathematical proficiency.

This volume presents the results of the discussions. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. A special feature is an interview with a student about his knowledge of fractions, demonstrating what interviews (versus standardized tests) can reveal.

Read More Show Less

Editorial Reviews

From the Publisher
"Anyone interested in the current state of assessment in mathematics education will find this book relevant."
Scott A. Fellows, Mathematics Teacher

"The book... is though provoking. The authors succeed in showing the complexity of the problem of assessing mathematical proficiency and the difference, sometimes dramatic, in the perception of this issue by various stakeholders. The majority of them convincingly argue in favor of tasks and procedures that would go beyond simple computational or operational abilities."
Alex Kozulin, American Journal of Psychology

Read More Show Less

Product Details

Meet the Author

Alan Schoenfeld is the Elizabeth and Edward Conner Professor of Education and Affiliated Professor of Mathematics at the University of California at Berkeley.

Read More Show Less

Table of Contents

Preface     ix
Acknowledgments     xix
The Big Picture     1
Issues and Tensions in the Assessment of Mathematical Proficiency   Alan H. Schoenfeld     3
Aims of Mathematics Education   Judith A. Ramaley     17
The No Child Left Behind Act: Political Context and National Goals   Susan Sclafani     23
Perspectives on Mathematical Proficiency     29
What Is Mathematical Proficiency?   R. James Milgram     31
What Is Mathematical Proficiency and How Can It Be Assessed?   Alan H. Schoenfeld     59
What Docs Assessment Assess? Issues and Examples     75
Mathematical Proficiency: What Is Important? How Can It Be Measured?   Hugh Burkhardt     77
Aspects of the Art of Assessment Design   Jan de Lange     99
Mathematical Proficiency for Citizenship   Bernard L. Madison     113
Learning from Assessment   Richard Askey     125
When Assessment Guides Instruction: Silicon Valley's Mathematics Assessment Collaborative   David Foster   Pendred Noyce   Sara Spiegel     137
The Case of Algebra     155
Assessing the Strands of Student Proficiency in Elementary Algebra   William G. McCallum     157
Making Meaning in Algebra: Examining Students' Understandings and Misconceptions   David Foster     163
Task Context and Assessment   Ann Shannon     177
What Do Assessments Assess? The Case of Fractions     193
Learning About Fractions from Assessment   Linda Fisher     195
Assessing a Student's Mathematical Knowledge by Way of Interview$dDeborah Loewenberg Ball with Brandon Peoples     213
Reflections on an Assessment Interview: What a Close Look at Student Understanding Can Reveal   Alan H. Schoenfeld     269
The Importance of Societal Context     279
Assessment in France   Michele Artigue     283
Assessment to Improve Learning in Mathematics: The BEAR Assessment System   Mark Wilson   Claus Carstensen     311
English Learners and Mathematics Learning: Language Issues to Consider   Lily Wong Fillmore     333
Beyond Words to Mathematical Content: Assessing English Learners in the Mathematics Classroom   Judit Moschkovich     345
Assessment in the Real World: The Case of New York City   Elizabeth Taleporos     353
Perspectives on State Assessments in California: What You Release Is What Teachers Get   Elizabeth K. Stage      357
Epilogue: What Do We Need to Know? Items for a Research Agenda     365
About the Authors     369
Subject Index     381
Author Index     385
Task Index     389
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)