ERIC Number: ED300234
Record Type: RIE
Publication Date: 1988-May
Multiple Representations of Mathematical Reasoning. A RAND Note.
McArthur, David; And Others
Described is the notion of multiple alternative representations of mathematical reasoning, particularly as they relate to algebraic notation and the potential of computers to change representations. Features of a desirable notation for algebraic problem solving are described. This is followed by a description of the RAND Corporation's intelligent algebra tutor and the specific tools it contains that support multiple representations: a boxes-and-weights tool and goal commands. These tools supply students with important learning opportunities. Finally, comments are made about continuing research in this area, and the importance of testing different representational systems in real educational contexts. In addition, theoretical work must be directed toward deriving a general classification scheme for representations. (MNS)
Descriptors: Algebra, Computer Graphics, Computer Oriented Programs, Educational Technology, Instructional Innovation, Mathematical Models, Mathematics Instruction, Secondary Education, Secondary School Mathematics, Symbols (Mathematics)
The RAND Corporation, Publications Department, 1700 Main Street, P.O. Box 2138, Santa Monica, CA 90406-2138 ($4.00; 25% off 25 or more copies).
Publication Type: Reports - Descriptive
Education Level: N/A
Audience: Teachers; Researchers; Practitioners
Sponsor: National Science Foundation, Washington, DC.
Authoring Institution: Rand Corp., Santa Monica, CA.
Note: Figures may not reproduce well.