Text editing of algebraic word problems

Abstract Three studies in which 10th-grade students were required to classify algebraic word problems in terms of whether a problem contained sufficient, missing, or irrelevant information for solution are reported. Performance on this task (text editing) correlated with recall memory for algebraic word problems and discrimination of whether problems are similar or different. Text editing scores also correlated with tests of general mathematical ability, even after allowance was made for contributions from verbal ability. In order to succeed on text editing a student must be able to identify what information within a problem is necessary and sufficient for solution. Because the task requires an understanding of problem structure, text editing can be taken as a measure of schematic knowledge.

[1]  Renae Low,et al.  DETECTION OF MISSING AND IRRELEVANT INFORMATION WITHIN ALGEBRAIC STORY PROBLEMS , 1989 .

[2]  Dorothea P. Simon,et al.  Expert and Novice Performance in Solving Physics Problems , 1980, Science.

[3]  Richard E. Mayer,et al.  Frequency norms and structural analysis of algebra story problems into families, categories, and templates , 1981 .

[4]  Paul J. Feltovich,et al.  Categorization and Representation of Physics Problems by Experts and Novices , 1981, Cogn. Sci..

[5]  L. Aiken Language Factors In Learning Mathematics , 1972 .

[6]  Richard E. Mayer,et al.  Memory for algebra story problems. , 1982 .

[7]  K. Denise Muth,et al.  Solving Arithmetic Word Problems: Role of Reading and Computational Skills , 1984 .

[8]  D. Herrmann,et al.  Problem perception and knowledge structure in expert and novice mathematical problem solvers. , 1982 .

[9]  J. Sweller,et al.  Effects of schema acquisition and rule automation on mathematical problem-solving transfer. , 1987 .

[10]  John R. Anderson,et al.  Discrimination of operator schemata in problem solving: Learning from examples , 1985, Cognitive Psychology.

[11]  J. Sweller,et al.  The Use of Worked Examples as a Substitute for Problem Solving in Learning Algebra , 1985 .

[12]  Edward A. Silver,et al.  Teaching and Learning Mathematical Problem Solving : Multiple Research Perspectives , 1985 .

[13]  Edward A. Silver,et al.  Recall of Mathematical Problem Information: Solving Related Problems. , 1981 .

[14]  Edward A. Silver,et al.  STUDENT PERCEPTIONS OF RELATEDNESS AMONG MATHEMATICAL VERBAL PROBLEMS , 1979 .