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
   Abstract
   Newsgroup discussion - 6 July 1994
2. Mathematics in Everyday Situations . . . Lesh
   Abstract
   Newsgroup discussion - 11 July 1994
3. Common-Sense Questions . . . Polya
   Abstract
   Newsgroup discussion - 16 August 1994
4. Mathematics as an Ill-Structured Discipline . . . Resnick
   Abstract
   Newsgroup discussion - 25 September 1994
5. Cognitive Apprenticeship . . . Collins, et al.
   Abstract
   Newsgroup discussion - 11 October 1994
6. Interactive Learning . . . Brown, et al.
   Abstract
   Newsgroup discussion - 4 November 1994
7. Acquisition of Arithmetic . . . Ginsburg
   Abstract
   Newsgroup discussion - 20 January 1995
8. Knowing, doing, and teaching multiplication . . . Lampert
   Abstract
   Newsgroup discussion - 8 February 1995
9. Language and Mathematics . . . Cocking & Chipman
   Abstract
   Newsgroup discussion - 24 February 1995
10. Math Horizon . . . Ball
    Abstract
    Newsgroup discussion - 15 March 1995
11. Learning Fractions . . . Mack
    Abstract
    Newsgroup discussion - 29 March 1995
12. Strategy Acquisition and Application . . . Siegler & Jenkins
    Abstract
    Newsgroup discussion - 13 April 1995
13. Mathetics . . . Papert
    Abstract
    Newsgroup discussion - 8 June 1995 and 3 November 1995 (repost)
14. Understanding . . . Greeno and Riley
    Abstract
    Newsgroup discussion - 20 November 1995
15. Writing Math . . . Countryman
    Abstract
    Newsgroup discussion - 10 December 1995
16. Not Dumb . . . Tobias
    Abstract
    Newsgroup discussion - 30 January 1996
17. Teaching . . . Hiebert & Wearne
    Abstract
    Newsgroup discussion - 14 February 1996
18. Reasons for Studying . . . Nolen
    Abstract
    Newsgroup discussion - 3 March 1996
19. Metacognition . . . Schoenfeld (repost)
    Abstract
    Newsgroup discussion - 20 March 1996
20. Small group interactions . . . Yackel, Cobb, & Wood
    Abstract
    Newsgroup discussion - 18 April 1996
21. Project-Based Learning . . . Blumenfeld, P., Soloway, E.,
    Marx, R., Krajcik, J., Guzdial, M., & Palincsar, A.
    Abstract
    Newsgroup discussion - 16 May 1996
22. Classroom Conversation . . . Nicholls, J. & Hazzard, S.
    
    Abstract
    Newsgroup discussion - 11 June 1996