A Research Companion to Principles and Standards for School Mathematics
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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
- 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