# Sample of Works Consulted

## Contact(s)

**Iowa Core Mathematics Documents**

- Iowa Core Mathematics (pdf)
- Iowa Core Mathematics (doc)
- Iowa Core Mathematics with DOK (pdf)
- Iowa Core Mathematics with DOK (doc)

**Iowa Core Mathematics Support** - Resources to support Iowa Core Mathematics.

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.

Harel, G., “What is Mathematics? A Pedagogical Answer to a Philosophical Question,” in R. B. Gold and R. Simons (eds.), Current Issues in the Philosophy of Mathematics from the Perspective of Mathematicians. Mathematical Association of America, 2008.

Henry, V. J., & Brown, R. S. (2008). Firstgrade basic facts: An investigation into teaching and learning of an accelerated, high-demand memorization standard. Journal for Research in Mathematics Education, 39, 153-183.

Howe, R., “From Arithmetic to Algebra.” Howe, R., “Starting Off Right in Arithmetic,” http://math.arizona.edu/~ime/2008-09/MIME/BegArith.pdf.

Jordan, N. C., Kaplan, D., Ramineni, C., and Locuniak, M. N., “Early math matters: kindergarten number competence and later mathematics outcomes,” Dev. Psychol. 45, 850–867, 2009.

Kader, G., “Means and MADS,” Mathematics Teaching in the Middle School, 4(6), 1999, pp. 398-403.

Kilpatrick, J., Mesa, V., and Sloane, F., “U.S. Algebra Performance in an International Context,” in Loveless (ed.), Lessons Learned: What International Assessments Tell Us About Math Achievement. Washington, D.C.: Brookings Institution Press, 2007.

Leinwand, S., and Ginsburg, A., “Measuring Up: How the Highest Performing State (Massachusetts) Compares to the Highest Performing Country (Hong Kong) in Grade 3 Mathematics,” American Institutes for Research, 2009.

Niss, M., “Quantitative Literacy and Mathematical Competencies,” in Quantitative Literacy: Why Numeracy Matters for Schools and Colleges, Madison, B. L., and Steen, L.A. (eds.), National Council on Education and the Disciplines. Proceedings of the National Forum on Quantitative Literacy held at the National Academy of Sciences in Washington, D.C., December 1-2, 2001.

Pratt, C. (1948). I learn from children. New York: Simon and Schuster.

Reys, B. (ed.), The Intended Mathematics Curriculum as Represented in State-Level Curriculum Standards: Consensus

or Confusion? IAP-Information Age Publishing, 2006.

Sarama, J., & Clements, D. H. (2009). Early childhood mathematics education research: Learning trajectories for

young children. New York: Routledge.

Schmidt, W., Houang, R., and Cogan, L., “A Coherent Curriculum: The Case of Mathematics,” American Educator,

Summer 2002, p. 4.

Schmidt, W.H., and Houang, R.T., “Lack of Focus in the Intended Mathematics Curriculum: Symptom or Cause?” in

Loveless (ed.), Lessons Learned: What International Assessments Tell Us About Math Achievement. Washington, D.C.:

Brookings Institution Press, 2007.

Steen, L.A., “Facing Facts: Achieving Balance in High School Mathematics.” Mathematics Teacher, Vol. 100. Special

Issue.

Wu, H., “Fractions, decimals, and rational numbers,” 2007, http://math.berkeley.edu/~wu/ (March 19, 2008).

Wu, H., “Lecture Notes for the 2009 Pre-Algebra Institute,” September 15, 2009.

Wu, H., “Preservice professional development of mathematics teachers,” http://math.berkeley.edu/~wu/pspd2.pdf.

Massachusetts Department of Education. Progress Report of the Mathematics Curriculum Framework Revision Panel, Massachusetts Department of Elementary and Secondary Education, 2009.

www.doe.mass.edu/boe/docs/0509/item5_report.pdf.

ACT College Readiness Benchmarks™ACT College Readiness Standards™ACT National Curriculum Survey™Adelman, C., The Toolbox Revisited: Paths to Degree Completion From High School Through College, 2006.

Advanced Placement Calculus, Statistics and Computer Science Course Descriptions. May 2009, May 2010. College Board, 2008.

Aligning Postsecondary Expectations and High School Practice: The Gap Defined (ACT: Policy Implications of the ACT National Curriculum Survey Results 2005-2006).

Condition of Education, 2004: Indicator 30, Top 30 Postsecondary Courses, U.S. Department of Education, 2004.

Condition of Education, 2007: High School Course-Taking. U.S. Department of Education, 2007.

Crisis at the Core: Preparing All Students for College and Work, ACT.

Achieve, Inc., Florida Postsecondary Survey, 2008.

Golfin, Peggy, et al. CNA Corporation. Strengthening Mathematics at the Postsecondary Level: Literature Review

and Analysis, 2005.

Camara, W.J., Shaw, E., and Patterson, B. (June 13, 2009). First Year English and Math College Coursework. College

Board: New York, NY (Available from authors).

CLEP Precalculus Curriculum Survey: Summary of Results. The College Board, 2005.

College Board Standards for College Success: Mathematics and Statistics. College Board, 2006.

Miller, G.E., Twing, J., and Meyers, J. “Higher Education Readiness Component (HERC) Correlation Study.” Austin, TX: Pearson.

On Course for Success: A Close Look at Selected High School Courses That Prepare All Students for College and

Work, ACT.

Out of Many, One: Towards Rigorous Common Core Standards from the Ground Up. Achieve, 2008.

Ready for College and Ready for Work: Same or Different? ACT.

Rigor at Risk: Reaffirming Quality in the High School Core Curriculum, ACT.

The Forgotten Middle: Ensuring that All Students Are on Target for College and Career Readiness before High School,

ACT.

Achieve, Inc., Virginia Postsecondary Survey, 2004.

ACT Job Skill Comparison Charts.Achieve, Mathematics at Work, 2008.

The American Diploma Project Workplace Study. National Alliance of Business Study, 2002.

Carnevale, Anthony and Desrochers, Donna. Connecting Education Standards and Employment: Coursetaking Patterns of Young Workers, 2002.

Colorado Business Leaders’ Top Skills, 2006.

Hawai’i Career Ready Study: access to living wage careers from high school, 2007.

States’ Career Cluster Initiative. Essential Knowledge and Skill Statements, 2008.

ACT WorkKeys Occupational Profiles™.

Program for International Student Assessment (PISA), 2006.

Trends in International Mathematics and Science Study (TIMSS), 2007.

International Baccalaureate, Mathematics Standard Level, 2006.

University of Cambridge International Examinations: General Certificate of Secondary Education in Mathematics, 2009.

EdExcel, General Certificate of Secondary Education, Mathematics, 2009.

Blachowicz, Camille, and Fisher, Peter. “Vocabulary Instruction.” In Handbook of Reading Research, Volume III, edited by Michael Kamil, Peter Mosenthal, P. David Pearson, and Rebecca Barr, pp. 503-523. Mahwah, NJ: Lawrence

Erlbaum Associates, 2000.

Gándara, Patricia, and Contreras, Frances. The Latino Education Crisis: The Consequences of Failed Social Policies.

Cambridge, Ma: Harvard University Press, 2009.

Moschkovich, Judit N. “Supporting the Participation of English Language Learners in Mathematical Discussions.” For the Learning of Mathematics 19 (March 1999): 11-19.

Moschkovich, J. N. (in press). Language, culture, and equity in secondary mathematics classrooms. To appear in F. Lester & J. Lobato (ed.), Teaching and Learning Mathematics: Translating Research to the Secondary Classroom,

Reston, VA: NCTM.

Moschkovich, Judit N. “Examining Mathematical Discourse Practices,” For the Learning of Mathematics 27 (March

2007): 24-30.

Moschkovich, Judit N. “Using Two Languages when Learning Mathematics: How Can Research Help Us Understand Mathematics Learners Who Use Two Languages?” Research Brief and Clip, National Council of Teachers of Mathematics, 2009 http://www.nctm.org/uploadedFiles/Research_News_and_Advocacy/Research/Clips_and_Briefs/Research_brief_12_Using_2.pdf. (accessed November 25, 2009).

Moschkovich, J.N. (2007) Bilingual Mathematics Learners: How views of language, bilingual learners, and mathematical communication impact instruction. In Nasir, N. and Cobb, P. (eds.), Diversity, Equity, and Access to Mathematical Ideas. New York: Teachers College Press, 89-104.

Schleppegrell, M.J. (2007). The linguistic challenges of mathematics teaching and learning: A research review. Reading & Writing Quarterly, 23:139-159.

Individuals with Disabilities Education Act (IDEA), 34 CFR §300.34 (a). (2004).

Individuals with Disabilities Education Act (IDEA), 34 CFR §300.39 (b)(3). (2004).

Office of Special Education Programs, U.S. Department of Education. “IDEA Regulations: Identification of Students with Specific Learning Disabilities,” 2006.

Thompson, S. J., Morse, A.B., Sharpe, M., and Hall, S., “Accommodations Manual: How to Select, Administer and Evaluate Use of Accommodations and Assessment for Students with Disabilities,” 2nd Edition. Council of Chief State School Officers, 2005.