Research+Companion+(RC)

Readings on this page are taken from: Kilpatrick, J., Martin, W. B., & Schifter, D. E. (2003, Eds.), //A research companion to principles and standards for school mathematics.// Reston, VA: National Council of Teachers of Mathematics.

Provides the anchoring of research and theory for Principles and Standards for School Mathematics, containing research relevant to topics covered in the publication. Supplies a comprehensive analysis of what research should be expected to do in setting standards for school mathematics. Focuses on research derived from professional development of teachers, mathematics assessment, and literature on curriculum topics, among others.

. Making Mathematics Reasonable in School.

. On Appreciating the Cognitive Complexity of School Algebra: Research on Algebra Learning and Directions of Curricular Change.

. Teaching and Learning Geometry.

. A Sociocultural Approach to Mathematics Reform: Speaking, Inscribing,and Doing Mathematics Within Communities of Practice.

. Facts and Algorithms as Products of Students’ Own Mathematical Activity.

. Situative Research Relevant to Standards for School Mathematics.

. Reasoning About Data.

. Communication and Language.

. Representation in School Mathematics: Learning to Graph and Graphing to Learn.

. Research on Students’ Understandings of Probability.

. Implications of Cognitive Science Research for Mathematics Education.

. Representation in School Mathematics: Children’s Representations of Problems.

. Classroom and Large-Scale Assessment.

. Reasoning and Proof.