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Explicitly Teaching for Transfer: Effects on the Mathematical Problem‐Solving Performance of Students with Mathematics Disabilities
Author(s) -
Fuchs Lynn S.,
Fuchs Douglas,
Hamlett Carol L.,
Appleton Amanda C.
Publication year - 2002
Publication title -
learning disabilities research and practice
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.018
H-Index - 21
eISSN - 1540-5826
pISSN - 0938-8982
DOI - 10.1111/1540-5826.00036
Subject(s) - mathematics education , control (management) , learning disability , computer assisted instruction , mathematical problem , psychology , teaching method , computer science , developmental psychology , artificial intelligence
The purpose of this study was to explore methods to enhance mathematical problem solving for students with mathematics disabilities (MD). A small‐group problem‐solving tutoring treatment incorporated explicit instruction on problem‐solution rules and on transfer. The transfer component was designed to increase awareness of the connections between novel and familiar problems by broadening the categories by which students group problems requiring the same solution methods and by prompting students to search novel problems for these broad categories. To create a stringent test of efficacy, we incorporated a computer‐assisted practice condition, which provided students with direct practice on real‐world problem‐solving tasks. We randomly assigned 40 students to problem‐solving tutoring, computer‐assisted practice, problem‐solving tutoring plus computer‐assisted practice, or control, and pre‐ and posttested students on three problem‐solving tasks. On story problems and transfer story problems, tutoring (with or without computer‐assisted practice) effected reliably stronger growth compared to control; effects on real‐world problem solving, although moderate to large, were not statistically significant. Computer‐assisted practice added little value beyond tutoring but, alone, yielded moderate effects on two measures.