COMMON CORE STATE STANDARDS for MATHEMATICS
WORKS CONSULTED | 91
Existing state standards documents.
Research summaries and briefs provided
to the Working Group by researchers.
National Assessment Governing Board,
Mathematics Framework for the 2009
National Assessment of Educational
Progress. U.S. Department of
Education, 2008.
NAEP Validity Studies Panel, Validity
Study of the NAEP Mathematics
Assessment: Grades 4 and 8. Daro et
al., 2007.
Mathematics documents from: Alberta,
Canada; Belgium; China; Chinese Taipei;
Denmark; England; Finland; Hong
Kong; India; Ireland; Japan; Korea; New
Zealand; Singapore; Victoria (British
Columbia).
Adding it Up: Helping Children Learn
Mathematics. National Research
Council, Mathematics Learning Study
Committee, 2001.
Benchmarking for Success: Ensuring
U.S. Students Receive a World-
Class Education. National Governors
Association, Council of Chief State
School Officers, and Achieve, Inc.,
2008.
Crossroads in Mathematics (1995) and
Beyond Crossroads (2006).
American Mathematical Association of
Two-Year Colleges (AMATYC).
Curriculum Focal Points for
Prekindergarten through Grade 8
Mathematics: A Quest for Coherence.
National Council of Teachers of
Mathematics, 2006.
Focus in High School Mathematics:
Reasoning and Sense Making. National
Council of Teachers of Mathematics.
Reston, VA: NCTM.
Foundations for Success: The Final Report
of the National Mathematics Advisory
Panel. U.S. Department of Education:
Washington, DC, 2008.
Guidelines for Assessment and Instruction
in Statistics Education (GAISE) Report:
A PreK-12 Curriculum Framework.
How People Learn: Brain, Mind,
Experience, and School. Bransford,
J.D., Brown, A.L., and Cocking, R.R.,
eds. Committee on Developments in
the Science of Learning, Commission
on Behavioral and Social Sciences and
Education, National Research Council,
1999.
Mathematics and Democracy, The Case for
Quantitative Literacy, Steen, L.A. (ed.).
National Council on Education and the
Disciplines, 2001.
Mathematics Learning in Early Childhood:
Paths Toward Excellence and
Equity. Cross, C.T., Woods, T.A., and
Schweingruber, S., eds. Committee on
Early Childhood Mathematics, National
Research Council, 2009.
The Opportunity Equation: Transforming
Mathematics and Science Education for
Citizenship and the Global Economy.
The Carnegie Corporation of New
York and the Institute for Advanced
Study, 2009. Online: http://www.
opportunityequation.org/
Principles and Standards for School
Mathematics. National Council of
Teachers of Mathematics, 2000.
The Proficiency Illusion. Cronin, J., Dahlin,
M., Adkins, D., and Kingsbury, G.G.;
foreword by C.E. Finn, Jr., and M. J.
Petrilli. Thomas B. Fordham Institute,
2007.
Ready or Not: Creating a High School
Diploma That Counts. American
Diploma Project, 2004.
A Research Companion to Principles and
Standards for School Mathematics.
National Council of Teachers of
Mathematics, 2003.
Sizing Up State Standards 2008. American
Federation of Teachers, 2008.
A Splintered Vision: An Investigation
of U.S. Science and Mathematics
Education. Schmidt, W.H., McKnight,
C.C., Raizen, S.A., et al. U.S. National
Research Center for the Third
International Mathematics and Science
Study, Michigan State University, 1997.
Stars By Which to Navigate? Scanning
National and International Education
Standards in 2009. Carmichael, S.B.,
Wilson. W.S, Finn, Jr., C.E., Winkler, A.M.,
and Palmieri, S. Thomas B. Fordham
Institute, 2009.
Askey, R., “Knowing and Teaching
Elementary Mathematics,” American
Educator, Fall 1999.
Aydogan, C., Plummer, C., Kang, S. J.,
Bilbrey, C., Farran, D. C., & Lipsey,
M. W. (2005). An investigation of
prekindergarten curricula: Influences
on classroom characteristics and child
engagement. Paper presented at the
NAEYC.
Blum, W., Galbraith, P. L., Henn, H-W.
and Niss, M. (Eds) Applications and
Modeling in Mathematics Education,
ICMI Study 14. Amsterdam: Springer.
Brosterman, N. (1997). Inventing
kindergarten. New York: Harry N.
Abrams.
Clements, D. H., & Sarama, J. (2009).
Learning and teaching early math: The
learning trajectories approach. New
York: Routledge.
Clements, D. H., Sarama, J., & DiBiase, A.-
M. (2004). Clements, D. H., Sarama, J., &
DiBiase, A.-M. (2004). Engaging young
children in mathematics: Standards for
early childhood mathematics education.
Mahwah, NJ: Lawrence Erlbaum
Associates.
Cobb and Moore, “Mathematics, Statistics,
and Teaching,” Amer. Math. Monthly
104(9), pp. 801-823, 1997.
Confrey, J., “Tracing the Evolution of
Mathematics Content Standards in
the United States: Looking Back and
Projecting Forward.” K12 Mathematics
Curriculum Standards conference
proceedings, February 5-6, 2007.
Conley, D.T. Knowledge and Skills for
University Success, 2008.
Conley, D.T. Toward a More Comprehensive
Conception of College Readiness, 2007.
Cuoco, A., Goldenberg, E. P., and Mark,
J., “Habits of Mind: An Organizing
Principle for a Mathematics Curriculum,”
Journal of Mathematical Behavior, 15(4),
375-402, 1996.
Carpenter, T. P., Fennema, E., Franke, M.
L., Levi, L., & Empson, S. B. (1999).
Children’s Mathematics: Cognitively
Guided Instruction. Portsmouth, NH:
Heinemann.
Van de Walle, J. A., Karp, K., & Bay-
Williams, J. M. (2010). Elementary and
Middle School Mathematics: Teaching
Developmentally (Seventh ed.). Boston:
Allyn and Bacon.
Ginsburg, A., Leinwand, S., and Decker,
K., “Informing Grades 1-6 Standards
Development: What Can Be Learned
from High-Performing Hong Kong,
Korea, and Singapore?” American
Institutes for Research, 2009.
Ginsburg et al., “What the United States
Can Learn From Singapore’s World-
Class Mathematics System (and what
Singapore can learn from the United
States),” American Institutes for
Research, 2005.
Ginsburg et al., “Reassessing U.S.
International Mathematics Performance:
New Findings from the 2003 TIMMS
and PISA,” American Institutes for
Research, 2005.
Ginsburg, H. P., Lee, J. S., & Stevenson-
Boyd, J. (2008). Mathematics education
for young children: What it is and how
to promote it. Social Policy Report,
22(1), 1-24.
Sample of Works Consulted