Developing Addition with Regrouping Competence among Second Grade Students with Mathematics Difficulties

Abstract The purpose of this study was to investigate the effectiveness of using the concrete-representational-abstract (CRA) teaching sequence with integrated strategy instruction for developing addition with regrouping competence among students with learning difficulties in mathematics. A total of 16 lessons were provided to 24 students during a six-week summer program. Students who received CRA with integrated strategy instruction outperformed comparison students on both computation and fluency. The two groups performed similarly on word problems and a discrimination/review measure. Based on these results, practical implications and suggestions for future study are provided.

[1]  Brian R. Bryant,et al.  Introduction to the Special Series: Mathematics and Learning Disabilities , 2008 .

[2]  W. Barbaresi,et al.  Math learning disorder: incidence in a population-based birth cohort, 1976-82, Rochester, Minn. , 2005, Ambulatory pediatrics : the official journal of the Ambulatory Pediatric Association.

[3]  Karen C. Fuson Issues in place-value and multidigit addition and subtraction learning and teaching. , 1990 .

[4]  C. D. Mercer,et al.  Teaching Multiplication to Second Graders in Inclusive Settings. , 1998 .

[5]  Robert Wall Emerson,et al.  Computational Fluency Performance Profile of High School Students With Mathematics Disabilities , 2007 .

[6]  Margaret M. Flores Teaching Subtraction With Regrouping to Students Experiencing Difficulty in Mathematics , 2009 .

[7]  S. Miller,et al.  Using Evidence‐Based Practices to Build Mathematics Competence Related to Conceptual, Procedural, and Declarative Knowledge , 2007 .

[8]  Catherine L. Whalen The Use of Unrelated Instructive Feedback When Teaching in a Small Group Instructional Arrangement. , 1996 .

[9]  Susan P. Miller,et al.  Designing and Implementing Mathematics Instruction for Students with Diverse Learning Needs , 2005 .

[10]  Automatization of Mathematics Skills via Computer-Assisted Instruction among Students with Mild Mental Handicaps. , 1992 .

[11]  K. Smolkowski,et al.  Preventing Early Mathematics Difficulties: The Feasibility of a Rigorous Kindergarten Mathematics Curriculum , 2008 .

[12]  Mary K. Hoard,et al.  Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability. , 2004, Journal of experimental child psychology.

[13]  Cecil D. Mercer,et al.  Teaching Algebra to Students with Learning Difficulties: An Investigation of an Explicit Instruction Model , 2003 .

[14]  Mark H. Ashcraft,et al.  Mental addition in third, fourth, and sixth graders , 1982 .

[15]  Paul J. Riccomini Identification and Remediation of Systematic Error Patterns in Subtraction , 2005 .

[16]  C. D. Mercer,et al.  Using Data to Learn about Concrete-Semiconcrete-Abstract Instruction for Students with Math Disabilities. , 1993 .

[17]  David M. Podell,et al.  CAI and the development of automaticity in mathematics skills in students with and without mild mental handicaps , 1994 .

[18]  J. Elkins,et al.  Lack of Automaticity in the Basic Addition Facts as a Characteristic of Arithmetic Learning Problems and Instructional Needs , 1999 .

[19]  S. Miller,et al.  Teaching Multiplication to Middle School Students with Mental Retardation. , 1998 .

[20]  Cecil D. Mercer,et al.  The Effects of Concrete to Semiconcrete to Abstract Instruction in the Acquisition and Retention of Fraction Concepts and Skills. , 1998 .

[21]  J. Hiebert,et al.  Links between teaching and learning place value with understanding in first grade. , 1992 .

[22]  J. Hiebert,et al.  Instructional Tasks, Classroom Discourse, and Students’ Learning in Second-Grade Arithmetic , 1993 .

[23]  K. H. Lee,et al.  Teaching mathematics to students with mild-to-moderate mental retardation: a review of the literature. , 2001, Mental retardation.

[24]  Charles A. Hughes,et al.  Effects of a Problem-Solving Strategy on the Introductory Algebra Performance of Secondary Students With Learning Disabilities , 2000 .

[25]  James Hiebert,et al.  Instruction, Understanding, and Skill in Multidigit Addition and Subtraction , 1996 .

[26]  M. Montague,et al.  Self-Regulation Strategies to Improve Mathematical Problem Solving for Students with Learning Disabilities , 2008 .

[27]  Nelly Tournaki,et al.  The Differential Effects of Teaching Addition Through Strategy Instruction Versus Drill and Practice to Students With and Without Learning Disabilities , 2003, Journal of learning disabilities.

[28]  Russell Gersten,et al.  Mathematics Intervention for First- and Second-Grade Students With Mathematics Difficulties , 2008 .

[29]  D. Geary Mathematics and Learning Disabilities , 2004, Journal of learning disabilities.

[30]  Diane J. Briars,et al.  USING A BASE-TEN BLOCKS LEARNING/ TEACHING APPROACH FOR FIRST- AND SECOND-GRADE PLACE-VALUE AND MULTIDIGIT ADDITION AND SUBTRACTION , 1990 .

[31]  A. Meta-analysis Mathematics Interventions for Children with Special Educational Needs , 2003 .

[32]  Chaitanya Ramineni,et al.  Predicting First–Grade Math Achievement from Developmental Number Sense Trajectories , 2007 .

[33]  Susan P. Miller,et al.  Fraction Instruction for Students with Mathematics Disabilities: Comparing Two Teaching Sequences , 2003 .

[34]  Diane Pedrotty Bryant,et al.  Characteristic Behaviors of Students with LD Who Have Teacher-Identified Math Weaknesses , 2000, Journal of learning disabilities.

[35]  Charles Funkhouser,et al.  Developing Number Sense and Basic Computational Skills in Students with Special Needs , 1995 .