# Mathematics Curriculum: Issues, Trends, and Future Directions: Seventy-second Yearbook

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## Contents

## Contents

Preface

Introduction to the CD Collection: Classic Publications on the Mathematics Curriculum by Thomas A. Romberg

I: Curriculum Matters: Looking Back, Looking Forward

- The Current State of the School Mathematics Curriculum by Zalman Usiskin
- Technology and the Mathematics Curriculum by James T. Fey, Richard M. Hollenbeck & Jonathan A. Wray
- National Standards: Lessons from the Past, Directions for the Future by Margaret E. Goertz
- Recommendations for Statistics and Probability in School Mathematics over the Past Century by Dustin Jones and James E. Tarr
- Reflections on Five Decades of Curriculum Controversies by Stephen Willoughby

II. The Intended Curriculum

- What We Teach Is What Students Learn: Evidence from National Assessment by Peter Kloosterman and Crystal Walcott
- Curriculum Alignment in an Era of Standards and High-Stakes Testing by Shannon W. Dingman
- Preschool Mathematics Curricula by Julie Sarama and Douglas H. Clements

III. The Written Curriculum

Curriculum Development

- Supporting Focused and Cohesive Curricula through Visual Representations: An Example from Japanese Textbooks by Tad Watanabe, Akihiko Takahashi, and Makoto Yoshida
- Cross-National Curriculum Collaboration: Examples Based on Realistic Mathematics Education by Margaret R. Meyer, Truus Dekker, and Frank Eade
- Three Perspectives on the Central Objects of Study for Grades Pre-K-8 Statistics by Randall E. Groth
- Designing Curricula to Expand and Extend Mathematical Knowledge by Debra I. Johanning
- Mathematics Applied to Curriculum Development: Lessons Learned on the Job by Al Cuoco, Jean Benson, Bowen Kerins, Sarah Sword, and Kevin Waterman

Selecction of Textbooks

- How Do Districts Choose Mathematics Textbooks? by June Mark, Deborah Spencer, Julie Koehler Zeringue, and Katherine Schwinden
- Considerations in the Review and Adoption of Mathematics Textbooks by Rick A. Hudson, Paula Elmer Lahann, and Jean S. Lee
- Curriculum as a Change Agent: High Schools that Rise to the Challenge and What They Stand to Gain by Kasi Allen-Fuller, Margaret Robinson, and Eric Robinson

IV. The Implemented Curriculum

- Myths about Curriculum Implementation by Denisse R. Thompson and Sharon L. Senk
- Technology and the Teaching of Mathematics by Richard M. Hollenbeck, Jonathan A. Wray, and James T. Fey
- Understanding Teachers' Strategies for Supplementing Textbooks by Corey Drake
- Teachers' Perspectives on Fidelity of Implementation to Textbooks by Mary Ann Huntley and Kathryn Chval

V. Impact of Curriculum Materials on Students' and Teachers' Learning

- Developing Curricular Reasoning for Grades PreK-12 Mathematics Instruction by M. Lynn Breyfogle, Amy Roth McDuffie, and Kay A. Wohlhuter
- Secondary School Mathematics Curriculum as Tools for Teachers' Learning by Gwendolyn M. Lloyd and Vanessa R. Pitts Bannister
- Conducting Mathematics Curriculum Research: Challenges and Insights by Paul Kehle and Kelly K. McCormick
- The Influence of Curriculum on Students' Learning by Mary Kay Stein and Margaret S. Smith

## Metadata

### APA

Reys, B. J., Reys, R. E., & Rubenstein, R. (Eds.). (2010). Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook (p. 362). Reston, VA: National Council of Teachers of Mathematics.

### BibTeX

@book{Reys2010, address = {Reston, VA}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {362}, publisher = {National Council of Teachers of Mathematics}, title = {{Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}}, year = {2010} }

@incollection{Romberg2010, address = {Reston, VA}, author = {Romberg, Thomas A.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {1--21}, publisher = {National Council of Teachers of Mathematics}, title = {{Introduction to the CD collection: Classic publications on the mathematics curriculum}}, year = {2010} } @incollection{Usiskin2010, address = {Reston, VA}, author = {Usiskin, Zalman}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {1}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {25--39}, publisher = {National Council of Teachers of Mathematics}, title = {{The current state of the school mathematics curriculum}}, year = {2010} } @incollection{Fey2010, address = {Reston, VA}, author = {Fey, James T. and Hollenbeck, Richard M. and Wray, Jonathan A.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {2}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {41--49}, publisher = {National Council of Teachers of Mathematics}, title = {{Technology and the mathematics curriculum}}, year = {2010} } @incollection{Goertz2010, address = {Reston, VA}, author = {Goertz, Margaret E.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {3}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {51--63}, publisher = {National Council of Teachers of Mathematics}, title = {{National standards: Lessons from the past, directions for the future}}, year = {2010} } @incollection{Jones2010, address = {Reston, VA}, author = {Jones, Dustin and Tarr, James E.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {4}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {65--75}, publisher = {National Council of Teachers of Mathematics}, title = {{Recommendations for statistics and probability in school mathematics over the past century}}, year = {2010} } @incollection{Willoughby2010, address = {Reston, VA}, author = {Willoughby, Stephen}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {5}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {77--85}, publisher = {National Council of Teachers of Mathematics}, title = {{Reflections on five decades of curriculum controversies}}, year = {2010} } @incollection{Kloosterman2010, address = {Reston, VA}, author = {Kloosterman, Peter and Walcott, Crystal}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {6}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {89--102}, publisher = {National Council of Teachers of Mathematics}, title = {{What we teach is what students learn: Evidence from national assessment}}, year = {2010} } @incollection{Dingman2010, address = {Reston, VA}, author = {Dingman, Shannon W.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {7}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {103--114}, publisher = {National Council of Teachers of Mathematics}, title = {{Curriculum alignment in an era of standards and high-stakes testing}}, year = {2010} } @incollection{Sarama2010, address = {Reston, VA}, author = {Sarama, Julie and Clements, Douglas H.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {8}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {115--126}, publisher = {National Council of Teachers of Mathematics}, title = {{Preschool mathematics curricula}}, year = {2010} } @incollection{Watanabe2010, address = {Reston, VA}, author = {Watanabe, Tad and Takahashi, Akihiko and Yoshida, Makoto}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {9}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {131--143}, publisher = {National Council of Teachers of Mathematics}, title = {{Supporting focused and cohesive curricula through visual representations: An example from Japanese textbooks}}, year = {2010} } @incollection{Meyer2010, address = {Reston, VA}, author = {Meyer, Margaret R. and Dekker, Truus and Eade, Frank}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {10}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {145--156}, publisher = {National Council of Teachers of Mathematics}, title = {{Cross-national curriculum collaboration: Examples based on Realistic Mathematics Education}}, year = {2010} } @incollection{Groth2010, address = {Reston, VA}, author = {Groth, Randall E.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {11}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {157--169}, publisher = {National Council of Teachers of Mathematics}, title = {{Three perspectives on the central objects of study for grades pre-K-8 statistics}}, year = {2010} } @incollection{Johanning2010, address = {Reston, VA}, author = {Johanning, Debra I.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {12}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {171--180}, publisher = {National Council of Teachers of Mathematics}, title = {{Designing curricula to expand and extend mathematical knowledge}}, year = {2010} } @incollection{Cuoco2010, address = {Reston, VA}, author = {Cuoco, Al and Benson, Jean and Kerins, Bowen and Sword, Sarah and Waterman, Kevin}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {13}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {181--196}, publisher = {National Council of Teachers of Mathematics}, title = {{Mathematics applied to curriculum development: Lessons learned on the job}}, year = {2010} } @incollection{Mark2010, address = {Reston, VA}, author = {Mark, June and Spencer, Deborah and Zeringue, Julie Koehler and Schwinden, Katherine}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {14}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {199--211}, publisher = {National Council of Teachers of Mathematics}, title = {{How do districts choose mathematics textbooks?}}, year = {2010} } @incollection{Hudson2010, address = {Reston, VA}, author = {Hudson, Rick A. and Lahann, Paula Elmer and Lee, Jean S.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {15}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {213--229}, publisher = {National Council of Teachers of Mathematics}, title = {{Considerations in the review and adoption of mathematics textbooks}}, year = {2010} } @incollection{Allen-Fuller2010, address = {Reston, VA}, author = {Allen-Fuller, Kasi and Robinson, Margaret and Robinson, Eric}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {16}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {231--246}, publisher = {National Council of Teachers of Mathematics}, title = {{Curriculum as a change agent: High schools that rise to the challenge and what they stand to gain}}, year = {2010} } @incollection{Thompson2010, address = {Reston, VA}, author = {Thompson, Denisse R. and Senk, Sharon L.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {17}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {249--263}, publisher = {National Council of Teachers of Mathematics}, title = {{Myths about curriculum implementation}}, year = {2010} } @incollection{Hollenbeck2010, address = {Reston, VA}, author = {Hollenbeck, Richard M. and Wray, Jonathan A. and Fey, James T.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {18}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {265--275}, publisher = {National Council of Teachers of Mathematics}, title = {{Technology and the teaching of mathematics}}, year = {2010} } @incollection{Drake2010, address = {Reston, VA}, author = {Drake, Corey}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {19}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {277--287}, publisher = {National Council of Teachers of Mathematics}, title = {{Understanding teachers' strategies for supplementing textbooks}}, year = {2010} } @incollection{Huntley2010, address = {Reston, VA}, author = {Huntley, Mary Ann and Chval, Kathryn}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {20}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {289--304}, publisher = {National Council of Teachers of Mathematics}, title = {{Teachers' perspectives on fidelity of implementation to textbooks}}, year = {2010} } @incollection{Breyfogle2010, address = {Reston, VA}, author = {Breyfogle, M. Lynn and Roth McDuffie, Amy and Wohlhuter, Kay A.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {21}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {307--320}, publisher = {National Council of Teachers of Mathematics}, title = {{Developing curricular reasoning for grades pre-K-12 mathematics instruction}}, year = {2010} } @incollection{Lloyd2010, address = {Reston, VA}, author = {Lloyd, Gwendolyn M. and Bannister, Vanessa R. Pitts}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {22}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {321--336}, publisher = {National Council of Teachers of Mathematics}, title = {{Secondary school mathematics materials as tools for teachers' learning}}, year = {2010} } @incollection{Kehle2010, address = {Reston, VA}, author = {Kehle, Paul and McCormick, Kelly K.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {23}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {337--350}, publisher = {National Council of Teachers of Mathematics}, title = {{Conducting mathematics curriculum research: Challenges and insights}}, year = {2010} } @incollection{Stein2010, address = {Reston, VA}, author = {Stein, Mary Kay and Smith, Margaret S.}, booktitle = {Mathematics curriculum: Issues, trends, and future directions: Seventy-second yearbook}, chapter = {24}, editor = {Reys, Barbara J. and Reys, Robert E. and Rubenstein, Rheta}, pages = {351--362}, publisher = {National Council of Teachers of Mathematics}, title = {{The influence of curriculum on students' learning}}, year = {2010} }