The papers and conference proceedings recorded in this monograph are from a conference on effective mathematics teaching. In addition to acknowledgements, foreword, introduction and participant list, the following articles are included: (1) "Teaching for Higher-Order Thinking in Mathematics: The Challenge for the Next Decade"; (2) "Interaction, Construction, and Knowledge: Alternative Perspectives for Mathematics Education"; (3) "Expertise in Instructional Lessons: an Example from Fractions"; (4) "Implications of Research on Pedagogical Expertise and Experience for Mathematics Teaching"; (5) "Content Determinants in Elementary School Mathematics"; (6) "Research and the Improvement of Mathematics Instruction: The Need for Observational Resources"; (7) "From Fragmentation to Synthesis: An Integrated Approach to Research on the Teaching of Mathematics"; (8) "Computer Usage in the Teaching of Mathematics: Issues That Need Answers"; (9) "Cross-Cultural Studies of Mathematics Teaching and Learning: Recent Findings and New Directions"; (10) "Can Teachers Be Professionals?"; (11) "Pervasive Themes and Some Departure Points for Research Into Effective Mathematics Teaching"; and (12) "An Agenda for Research on Teaching Mathematics". (PK)