Features
Research briefs
Newsletters
Center
Bibliography
Reports
Articles and chapters
Books
Presentations
Center
Bibliography

Many
of these publications outline the Center's longterm 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 headon 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.
Features (articles available
in fulltext PDF)
 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 20022003
 Developing
Algebraic Reasoning in the Elementary School (pp.
67) WCER Highlights, Winter
20022003

30 Years of Mathematics Education Research (pp.
13) WCER Highlights, Fall 2002
 TeacherStudentResearcher
Collaboration Produces Science Curricula
 April 2, 2002
 Supporting
Teaching for Understanding 
(pp. 45) WCER Highlights, Winter 20002001
 Cognitively
Guided Instruction (elementary instruction & professional development
program) featured in Fall 2000
Comprehensive CenterRegion VI Newsletter
 Teachers
develop algebra "eyes and ears"  (pp. 12) 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:
Research Briefs (briefs
available in fulltext PDF)

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).

Newsletters (newsletters available
in fulltext PDF)

Principled
Practice focuses on issues and perspectives in K12 science
and mathematics reform, along with relevant Center research.


Joint newsletter with CREDE on diverse students learning
mathematics and science.


The
National Center for Research in Mathematical Sciences Education
(NCRMSE) (19871995) published the NCRMSE Research Review.
The Review focuses on the national reform effort in school mathematics
and discusses 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 fulltext 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, RR002.
 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 003.
 Assessment
of Explanatory Models in Genetics: Insights into Students’ Conceptions
of Scientific Models. Jennifer Cartier, January 2000, RR 981.
 Using
a Modeling Approach to Explore Scientific Epistemology With High School
Biology Students. Jennifer Cartier, January 2000, RR 991.
 A
Course in Evolutionary Biology: Engaging Students in the “Practice”
of Evolution. Cynthia Passmore and James Stewart, January 2000,
RR 001.
Special Reports:
 Children’s Ways with
Words in Science and Mathematics: A Conversation Across Disciplines.
Ann Rosebery and Beth Warren, February 2000, SR 001.
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
Articles
and Chapters (articles available
in fulltext PDF)
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. 69.
 The
Shape of Fairness, Elizabeth Penner and Richard Lehrer. Teaching
Children Mathematics, Vol. 7, No. 4, December 2000, pp. 210214.
 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. 107119.
 Gender
Equity in Mathematics Education, Linda Levi. Teaching
Children Mathematics, Vol. 7, No. 2, October 2000, pp. 101105.
 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. 548553.
 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. 324329.
 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. 232236.
 Developing
First Graders' Mathematical Reasoning Within the Context of Measurement,
Kay McClain, Paul Cobb, Koeno Gravemeijer and Beth Estes. Developing
Mathematical Reasoning in Grades K12, 1999 Yearbook. Stiff, V. Lee
and Curcio, R. Frances (Eds.).
 A
Contextual Investigation of ThreeDigit Addition and Subtraction,
Kay McClain, Paul Cobb and Janet Bowers. The Teaching and Learning of
Algorithms in School Mathematics, 1998 NCTM Yearbook.
Books
Researchers affiliated with the current
Center and the 19871996 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 Cooperation 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 K12
(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. 
