A Research Companion to Principles and Standards for School Mathematics
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- Editors: Jeremy Kilpatrick, W. Gary Martin, and Deborah Schifter
- Year: 2003
- Publisher: National Council of Teachers of Mathematics
- Source: http://www.nctm.org/catalog/product.aspx?ID=12341
This book was written to support with research the ideas in NCTM's Principles and Standards for School Mathematics.
Contents
Preface
Section 1: Research on Principles and Standards
- Making Mathematics Reasonable in School by Deborah Ball and Hyman Bass
- Teaching, Teachers' Knowledge, and Their Professional Development by Denise Mewborn
- Classroom and Large-Scale Assessment by Linda Wilson and Patricia Kenney
- Developing Mathematical Power in Whole Number Operations by Karen Fuson
- Fractions and Multiplicative Reasoning by Patrick Thompson and Luis Saldanha
- Facts and Algorithms as Products of Students' Own Mathematical Activity by Keono Gravemeijer and Frans van Galen
- On Appreciating the Cognitive Complexity of School Algebra: Research on Algebra Learning and Directions of Curricular Change by Daniel Chazan and Michal Yerushalmy
- Stasis and Change: Integrating Patterns, Functions, and Algebra Throughout the K-12 Curriculum by Erick Smith
- Teaching and Learning Geometry by Douglas Clements
- Developing Understanding of Measurement by Richard Lehrer
- Reasoning About Data by Clifford Konold and Traci Higgins
- Research on Students' Understandings of Probability by Michael Shaughnessy
- Reasoning and Proof by Erna Yackel and Gila Hanna
- Communication and Language by Magdalene Lampert and Paul Cobb
- Representation in School Mathematics: Learning to Graph and Graphing to Learn by Stephen Monk
- Representation in School Mathematics: Children's Representations of Problems by Stephen Smith
- Representation in School Mathematics: A Unifying Research Perspective by Gerald Goldin
Section 2: Perspectives on Teaching and Learning
- Implications of Cognitive Science Research for Mathematics Education by Robert Siegler
- Situative Research Relevant to Standards for School Mathematics by James Greeno
- A Sociocultural Approach to Mathematics Reform: Speaking, Inscribing, and Doing Mathematics Within Communities of Practice by Ellice Forman
- Balancing the Unbalanceable: The NCTM Standards in Light of Theories of Learning Mathematics by Anna Sfard
Section 3: The Creation of Principles and Standards for School Mathematics
- Using Research in Policy Development: The Case of the National Council of Teachers of Mathematics' Principles and Standards for School Mathematics by Joan Ferrini-Mundy and W. Gary Martin
Corrolary
- APA
- Kilpatrick, J., Martin, W. G., & Schifter, D. (Eds.). (2003). A research companion to Principles and Standards for School Mathematics (p. 413). Reston, VA: National Council of Teachers of Mathematics.
- BibTeX
@book{Kilpatrick2003, address = {Reston, VA}, editor = {Kilpatrick, Jeremy and Martin, W. Gary and Schifter, Deborah}, isbn = {978-0-87353-537-3}, pages = {413}, publisher = {National Council of Teachers of Mathematics}, title = {{A research companion to Principles and Standards for School Mathematics}}, year = {2003} }