National Center for Improving Student Learning and Achievement in Mathematics and Science (NCISLA)

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Center Bibliography

Reports

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Books

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Center Bibliography

Many of these publications outline the Center's long-term research results. Several are available here in PDF for Adobe Acrobat Reader. Visit our download center if you need to install this software.

"Learning with Understanding" Poster

This poster is the result of a combined effort of Center researchers to produce a dynamic portrait of teaching for understanding in mathematics and science. The brillant colors in this original digital version are nearly identical to the colors of the 22 X 34 print. The text is based on research by Center staff and reads:

"Understanding for Life. We will meet the future head-on if we all learn with understanding:

• linking ideas one to another in a rich, intricate web,
• applying what we learn to answer new questions,
• reflecting on knowledge,
• and expressing ideas in creative ways.

With understanding, learning becomes personal. It lasts a lifetime."

Posters are sold at $4.75 each, including shipping. Volume discounts apply.
Click here for order information.

• It's Elementary: Introducing Algebraic Thinking Before High School, SEDL Letter (Vol. XV, No. 1), December 2003
  
• Putting Case Study Results into Context (pp. 5& 8) WCER Highlights, Winter 2002-2003
  
• Developing Algebraic Reasoning in the Elementary School (pp. 6-7) WCER Highlights, Winter 2002-2003
  
• 30 Years of Mathematics Education Research (pp. 1-3) WCER Highlights, Fall 2002
  
  
• Teacher-Student-Researcher Collaboration Produces Science Curricula -- April 2, 2002
  
• Supporting Teaching for Understanding -- (pp. 4-5) WCER Highlights, Winter 2000-2001
  
• Cognitively Guided Instruction (elementary instruction & professional development program) featured in Fall 2000 Comprehensive Center-Region VI Newsletter
  
• Teachers develop algebra "eyes and ears" -- (pp. 1-2) WCER Highlights, Fall 2000
  
• Professional development in classroom assessment -- (pp. 3, 8) WCER Highlights, Fall 2000
  
• Cognitively Guided Instruction Attracts Attention in Washington, D.C.
  
• New Approach to Teaching Evolution Speaks to Debate (press release)
  
  

Fourth Grade Math Makes the News:

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For policymakers, educators and researchers seeking to improve student learning and achievement, In Brief reports on Center research and its implications for mathematics and science reform (a quarterly publication beginning Winter 2000). Winter 2004: Designing Statistics Instruction for Middle School Students Summer 2003: Algebraic Skills and Strategies for Elementary Teachers and Students Fall 2002 : Supporting Professional Development Fall 2000: Algebra in the Elementary Grades Winter 2000: Learning through Scientific Modeling

	Principled Practice focuses on issues and perspectives in K-12 science and mathematics reform, along with relevant Center research. Winter 2003: High Stakes Testing Winter 2002: Evolutionary Biology Instruction Spring 1999: Science Education Reform Fall 1998: Teacher Professional Development Spring 1998: Curriculum as Web of Inquiry Fall 1997: Assessment in Mathematics and Science Spring 1997: Student Understanding in Mathematics and Science
	Joint newsletter with CREDE on diverse students learning mathematics and science. 2001 NCISLA-CREDE Joint Newsletter: Diverse Students Learning Mathematics and Science (Winter 2001) Educator Resources for Teaching Culturally Diverse Students Mathematics & Science -- as referenced in the Winter 2001 Joint Newsletter.
	The National Center for Research in Mathematical Sciences Education (NCRMSE) (1987-1995) published the NCRMSE Research Review. The Review focuses on the national reform effort in school mathematics and discusses research. Fall 1991: Authentic Assessment Spring 1992: Cognitively Guided Instruction Fall 1992: Middle School Mathematics Winter 1993: Teachers and Algebra Project Spring 1993: School-Level Reform Fall 1993: Assessment Models Winter 1994: Reforming Geometry Spring 1994: Statistics and School Mathematics Fall 1994: Equity and Mathematics Reform Vol 4, Num 1: Reform at the School Level Vol 5, Num 5: Review of NCRMSE Research

Center Bibliography

National Center researchers have produced hundreds of publications, including books, chapters, articles, working papers, presentations, and the like. You can download the full Center's bibliography as either a Rich Text Format (RTF) or PDF document -- for your own reference and use.

Reports (reports available in full-text PDF). Research reports detail Center studies and results. Special reports discuss conference outcomes, education theory development and reform approaches.

Research Reports:

• Scaling Up Innovative Practices in Mathematics and Science (Research Report). Thomas P. Carpenter, Maria Lynn Blanton, Paul Cobb, Megan Loef Franke, James Kaput and Kay McClain. February 2004.
  
• The Nature and Structure of Scientific Models (Working Paper). Jennifer Cartier, John Rudolph, Jim Stewart, January 2001.
  
• Developing Conceptions of Algebraic Reasoning in the Primary Grades. Thomas P. Carpenter and Linda Levi, October 2000, RR-002.
  
  
• Cognitively Guided Instruction: A Research Based Teacher Professional Development Program for Elementary School Mathematics. Thomas P. Carpenter, Elizabeth Fennema, Megan Loef Franke, Linda Levi, and Susan B. Empson, September 2000, RR 00-3.
  
  
• Assessment of Explanatory Models in Genetics: Insights into Students’ Conceptions of Scientific Models. Jennifer Cartier, January 2000, RR 98-1.
  
  
• Using a Modeling Approach to Explore Scientific Epistemology With High School Biology Students. Jennifer Cartier, January 2000, RR 99-1.
  
  
• A Course in Evolutionary Biology: Engaging Students in the “Practice” of Evolution. Cynthia Passmore and James Stewart, January 2000, RR 00-1.

Special Reports:

• Children’s Ways with Words in Science and Mathematics: A Conversation Across Disciplines. Ann Rosebery and Beth Warren, February 2000, SR 00-1. At a conference organized by the Chèche Konnen Center at TERC, educators and researchers explored issues about learning and achievement for poor and minority students.

Research Reports from all 12 national research centers:

National Research Centers' reports

Below you will find abstracts and references and, where feasible, permitted reprints. The list DOES NOT include all Center publications. See the full Center Bibliography (pdf and rtf).

• Mathematical Literacy: What Does it Mean for School Mathematics? Thomas A. Romberg. Wisconsin School News, October 2001.
  
  
• Changing the Teaching and Learning of Mathematics, Thomas Romberg. The Australian Mathematics Teacher, 56(4), 2000, pp. 6-9.
  
  
• The Shape of Fairness, Elizabeth Penner and Richard Lehrer. Teaching Children Mathematics, Vol. 7, No. 4, December 2000, pp. 210-214.
  
  
• Designing Middle School Mathematics Materials Using Problems Created to Help Students Progress from Informal to Formal Mathematical Reasoning (book chapter), Thomas A. Romberg. Mathematics in the Middle, L.P. Leutzinger, & S.P. Smith (eds), National Council of Teachers of Mathematics, pp. 107-119.
  
  
• Gender Equity in Mathematics Education, Linda Levi. Teaching Children Mathematics, Vol. 7, No. 2, October 2000, pp. 101-105.
  
  
• Improving Data Analysis Through Discourse, Kay McClain, Maggie McGatha, and Lynn Hodge. Mathematics Teaching in the Middle School, Vol. 5, No. 8, April 2000, pp. 548-553.
  
  
• Why Are Some Solids Perfect? Conjectures and Experiments by Third Graders, Richard Lehrer and Carmen L. Curtis. Teaching Children Mathematics, Vol. 6, No. 5, January 2000, pp. 324-329.
  
  
• Supporting Students' Ways of Reasoning about Data, Kay McClain, Paul Cobb and Keono Gravemeijer. Learning Mathematics for a New Century, 2000 NCTM Yearbook.
  
  
• Children's Understanding of Equality: A Foundation for Algebra, Karen Falkner, Linda Levi, and Thomas Carpenter. Teaching Children Mathematics, Vol. 6, No. 4, Dec. 1999, pp. 232-236.
  
  
• Developing First Graders' Mathematical Reasoning Within the Context of Measurement, Kay McClain, Paul Cobb, Koeno Gravemeijer and Beth Estes. Developing Mathematical Reasoning in Grades K-12, 1999 Yearbook. Stiff, V. Lee and Curcio, R. Frances (Eds.).
  
  
• A Contextual Investigation of Three-Digit Addition and Subtraction, Kay McClain, Paul Cobb and Janet Bowers. The Teaching and Learning of Algorithms in School Mathematics, 1998 NCTM Yearbook.
  
  

Researchers affiliated with the current Center and the 1987-1996 National Center for Research in the Mathematical Sciences Education have published and contributed to several books, including --

Understanding Mathematics and Science Matters. Thomas A. Romberg, Thomas P. Carpenter, and Fae Dremock (Eds.) Publisher: Lawrence Erlbaum Associates.

Thinking Mathematically: Integrating Arithmetic and Algebra in Elementary School. Thomas P. Carpenter, Megan Loef Franke, Linda Levi Publisher: Heinemann, 2003

Transforming Teaching in Math and Science: How Schools and Districts can Support Change. Adam Gamoran, Charles W. Anderson, Pamela Anne Quiroz, Walter G. Secada, Tona Williams, Scott Ashman. Publisher:Teachers College Press, 2003.

Investigating Real Data in the Classroom - Expanding Children's Understanding of Mathematics and Science. Richard Lehrer and Leona Schauble, editors. Publisher: Teachers College Press, 2002.

Adding it Up: Helping Children Learn Mathematics. Thomas P. Carpenter, contributor. Publisher: National Academy Press, 2001.

How People Learn: Brain, Mind, Experience, and School (expanded edition). Thomas A. Romberg, contributor. Publisher: National Academy Press, 2000.

Handbook of Research Design in Mathematics and Science Education. Anthony E. Kelly and Richard A. Lesh, editors. Publisher: Lawrence Erlbaum Associates, Inc., 2000.

Measuring Student Knowledge and Skills: A New Framework for Assessment. Jan de Lange and Thomas A. Romberg, contributors. Publisher: Organisation for Economic Co-operation and Development, 1999.

Children’s Mathematics — Cognitively Guided Instruction (with two Multimedia CDs included). Thomas P. Carpenter, Elizabeth Fennema, Megan Loef Franke, Linda Levi, and Susan B. Empson. Publisher: Heinemann, 1999.

Mathematics Classrooms that Promote Understanding (A volume in the studies in mathematical thinking and learning series). Elizabeth Fennema and Thomas A. Romberg, editors. Publisher: Lawrence Erlbaum Associates, Inc., 1999.

Symbolizing and Communicating in Mathematics Classroooms. Paul Cobb, Kay McClain and Erna Yackel, editors. Publisher: Lawrence Erlbaum Associates, 1999.

Designing Learning Environments for Developing Understanding of Geometry and Space (A volume in the studies in mathematical thinking and learning series). Richard Lehrer and Daniel Chazan, editors. Publisher: Lawrence Erlbaum Associates, Inc., 1998.

Reflections on Statistics: Learning, Teaching, and Assessment in Grades K-12 (A volume in the studies in mathematical thinking and learning series). Susanne P. Lajoie, editor. Publisher: Lawrence Erlbaum Associates, 1998.

Making Sense: Teaching and Learning Mathematics with Understanding. Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K., Human, P., Murray, H., Olivier, A., Wearne, D. Publisher: Heinemann,1997.

Mathematics Teachers in Transition (A volume in the studies in mathematical thinking and learning series). Elizabeth Fennema and Barbara Scott Nelson, editors. Publisher: Lawrence Erlbaum Associates, 1997.

Reform in School Mathematics and Authentic Assessment (SUNY Series, Reform in Mathematics Education). Thomas A. Romberg, editor. Publisher: State University of New York Press, 1995.

Integrating Research on the Graphical Representation of Functions (A volume in the Studies in Mathematical Thinking and Learning Series). Thomas A. Romberg, Elizabeth Fennema, and Thomas P. Carpenter, editors. Publisher: Lawrence Erlbaum Associates, 1993.

Rational Numbers: An Integration of Research (A volume in the studies in mathematical thinking and learning series). Thomas P. Carpenter, Elizabeth Fennema, and Thomas A. Romberg, editors. Publisher: Lawrence Erlbaum Associates, 1993.

Mathematics Assessment and Evaluation: Imperatives for Mathematics Educators. Thomas A. Romberg, editor. Publisher: State University of New York Press, 1992.