The Research Agenda Conference on Algebra: Background and Issues
p. 1
References
p. 9
Past Research and Current Issues
p. 11
Past Research and Current Issues
p. 11
References
p. 24
Critical Considerations for the Future of Algebra Instruction or A Reaction To: """"Algebra: What Should We Teach and How Should We Teach It?""""
p. 25
The Early Learning of Algebra: A Structural Perspective
p. 33
A Question of Structure or A Reaction To: """"The Early Learning of Algebra: A Stru ctural Perspective""""
p. 57
Cognitive Obstacles Encountered in the Learning of Algebra
p. 60
References
p. 84
Different Cognitive Obstacles in A Technological Paradigm or A Reaction To: """"Cognitive Obstacles Encountered in the Learning of Algebra""""1
p. 87
Cognitive Studies of Algebra Problem Solving and Learning
p. 93
Robust Performance in Algebra: the Role of the Problem Representation
p. 120
Artificial Intelligence, Advanced Technology, and Learning and Teaching Algebra
p. 135
Intelligent Tutoring Systems: First Steps and Future Directions or A Reaction To: """"Artificial Intelligence, Advanced Technology, and Learning and Teaching Algebra""""
p. 162
Linking Representations in the Symbol Systems of Algebra
p. 167
Critical Issues in Current Representation System Theory or A Reaction To: """"Linking Representations in the Symbol Systems of Algebra""""1
p. 195
School Algebra for the Year 2000
p. 199
Toward Algebra in the Year 2000 or A Reaction To: """"School Algebra for the Year 2000""""
p. 214
A Research Agenda
p. 220
An Agenda for Research on the Learning and Teaching of Algebra
p. 220
Conclusion
p. 237
The Research Agenda in Algebra: A Mathematics Education Perspective
p. 238
The Research Agenda in Algebra: A Cognitive Science Perspective
p. 247
The Research Agenda in Algebra: A Curriculum Development Perspective
p. 257
Theoretical Considerations
p. 266
Research Studies in How Humans Think About Algebra
p. 266
References
p. 274
Eight Reasons for Explicit Theories in Mathematics Education
p. 275
Contexts for Research on the Teaching and Learning of Algebra
p. 278
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