Focusing attention to deep structure in math problems: Effects on elementary education students with and without attentional deficits

The purpose of this study was to examine the effects of actively categorizing math problems on the math problem solving performance of students with and without attention deficit disorder (ADD). To this purpose, 52 fifth and sixth grade students were involved in actively categorizing or noncategorizing (control) tasks followed by two problem solving activities. The results of this study indicated that students more frequently organize math problems by categories based on deeper structures (i.e., concepts or operations) when they were informed of the features to look for than students who organized math problems on their own. However, those students who actively organized the math problems and formed categories on their own had higher accuracy in an assessment of generality in a subsequent problem solving task than students who were earlier given categories. These effects were similar for both groups and provided generality to prior research on recall performance to assessing problem solving.

[1]  V. Douglas,et al.  Problem solving in hyperactive, normal, and reading-disabled boys , 1982, Journal of abnormal child psychology.

[2]  Jose Mestre Hierarchical Problem Solving as a Means of Promoting Expertise. , 1988 .

[3]  J. Mestre,et al.  The relation between problem categorization and problem solving among experts and novices , 1989, Memory & cognition.

[4]  Olejnik,et al.  Measures of Effect Size for Comparative Studies: Applications, Interpretations, and Limitations. , 2000, Contemporary educational psychology.

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

[6]  G. August Production deficiencies in free recall: A comparison of hyperactive, learning-disabled, and normal children , 1987, Journal of abnormal child psychology.

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

[8]  Dc Washington Diagnostic and Statistical Manual of Mental Disorders, 4th Ed. , 1994 .

[9]  G. Keppel,et al.  Design and Analysis: A Researcher's Handbook , 1976 .

[10]  Y. B. Lee,et al.  Mathematical Outcomes of Attention-Deficit Hyperactivity Disorder , 1994, Journal of learning disabilities.

[11]  A. Ardila,et al.  Executive dysfunctions in children with attention deficit hyperactivity disorder. , 1998, The International journal of neuroscience.

[12]  R. Ulrich,et al.  Normative data on Revised Conners Parent and Teacher Rating Scales , 1978, Journal of abnormal child psychology.

[13]  B. Tabachnick,et al.  Using Multivariate Statistics , 1983 .

[14]  R. W. Jones,et al.  Behaviors analogous to frontal lobe dysfunction in children with attention deficit hyperactivity disorder , 1989 .

[15]  S. Zentall Attentional Cuing In Spelling Tasks For Hyperactive And Comparison Regular Classroom Children , 1989 .

[16]  J. Hiebert Conceptual and procedural knowledge : the case of mathematics , 1987 .

[17]  R. Heaton Wisconsin Card Sorting Test manual , 1993 .

[18]  Sydney S. Zentall,et al.  Research on the Educational Implications of Attention Deficit Hyperactivity Disorder , 1993 .

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

[20]  Mike U. Smith Expertise, Mental Representations, and Problem-Solving Success: A Study of the Categorizations of Classical Genetics Problems by Biology Faculty, Genetic Counselors, and Students. , 1988 .

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

[22]  B. Axelrod,et al.  Age-related performance on the wisconsin card sorting, similarities, and controlled oral word association tests , 1992 .

[23]  Vadim Andreevich Krutet︠s︡kiĭ The Psychology of Mathematical Abilities in Schoolchildren , 1976 .

[24]  S. Zentall,et al.  Behavioral comparisons of liked and disliked hyperactive children in play contexts and the behavioral accommodations by their classmates. , 1990, Journal of consulting and clinical psychology.

[25]  G. Chelune,et al.  Frontal lobe disinhibition in attention deficit disorder , 1986, Child psychiatry and human development.

[26]  J. Torgesen,et al.  Memory Processes in Reading Disabled Children , 1985, Journal of learning disabilities.

[27]  G. Glass,et al.  Statistical methods in education and psychology , 1970 .