ERIC Number: ED328407
Record Type: RIE
Publication Date: 1989-Jul
Algebraic Thinking Tools: Supports for Modeling Situations and Solving Problems in Kids' Worlds.
McArthur, David; And Others
This Note describes several versions of an intelligent tutor for basic algebra that have been developed at the RAND Corporation. The versions of the tutor were built around several core components, including an algebra expert system and a student modeling component that can make inferences about misconceptions underlying students' errors. The different versions help students learn distinct kinds of mathematical reasoning skills. The first discussion concerns the equation-solving tutor, which focuses on the acquisition of relatively low-level symbol manipulation skills. Next, the model-building tutor which helps students acquire important mathematical reasoning skills that are not part of most algebra curricula, including the ability to formulate a mathematical model of real-world situations and to test mathematical hypotheses, is discussed. This document concludes with a discussion of the implications of the tutors for curriculum change. The pedagogical approach implicit in the tutors diverges from most classroom teaching principals. An "embedded" and "global-before-local" practice is advocated. (Author/CW)
Descriptors: Algebra, Computer Assisted Instruction, Computer Software, Equations (Mathematics), Mathematics Education, Mathematics Skills, Models, Program Descriptions, Secondary Education, Secondary School Mathematics, Tutorial Programs
Rand Corporation, 1700 Main Street, P.O. Box 2138, Santa Monica, CA 90406-2138 ($4.00).
Publication Type: Reports - Descriptive
Education Level: N/A
Sponsor: National Science Foundation, Washington, DC.
Authoring Institution: Rand Corp., Santa Monica, CA.