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 Learning and Mathematics

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Learning and Mathematics: Introduction || Math Discussions Online
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* Introduction . . . Klotz, Renninger

A series of discussions inspired by recent work on how students learn mathematics -- ideas that form the basis of the NCTM Standards. This series is intended to be an informative and sometimes provocative overview of the current research and thinking of some key researchers in mathematics education and educational psychology. Much of the work in this area indicates that the "traditional" classroom needs to be changed if more effective learning (i.e., learning that is more conceptual and less formulaic) is to take place. These summaries include implications for classroom practice.

* Annotated Bibliographies:

  1. Alternative Instruction and Alternative, Performance-Based Assessment
  2. Cross-Age Tutoring
  3. Girls' Attitudes, Self-Expectations, and Performance in Math
  4. Limited English Proficiency Students and Mathematics
  5. Mathematics and Motivation

* Discussions:

  1. Metacognition . . . Schoenfeld
  2. Mathematics in Everyday Situations . . . Lesh
  3. Common-Sense Questions . . . Polya
  4. Mathematics as an Ill-Structured Discipline . . . Resnick
  5. Cognitive Apprenticeship . . . Collins, et al.
  6. Interactive Learning . . . Brown, et al.
  7. Acquisition of Arithmetic . . . Ginsburg
  8. Knowing, doing, and teaching multiplication . . . Lampert
  9. Language and Mathematics . . . Cocking & Chipman
  10. Math Horizon . . . Ball
  11. Learning Fractions . . . Mack
  12. Strategy Acquisition and Application . . . Siegler & Jenkins
  13. Mathetics . . . Papert
  14. Understanding . . . Greeno and Riley
  15. Writing Math . . . Countryman
  16. Not Dumb . . . Tobias
  17. Teaching . . . Hiebert & Wearne
  18. Reasons for Studying . . . Nolen
  19. Metacognition . . . Schoenfeld (repost)
  20. Small group interactions . . . Yackel, Cobb, & Wood
  21. Project-Based Learning . . . Blumenfeld, P., Soloway, E.,
  22. Classroom Conversation . . . Nicholls, J. & Hazzard, S.

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