A Comparison of Two Instructional Approaches on Mathematical Word Problem Solving by Students with Learning Problems


Book Description

This study examined the differential effects of two instructional strategies, an explicit schema-based problem solving strategy (SBI) and a traditional general heuristic instructional strategy (TI), on the acquisition, maintenance, and generalization of mathematical word problem solving. In addition, this study examined students' self-perceptions regarding mathematics problem solving before and after instruction and their satisfaction with respect to using the assigned problem solving strategy. Twenty-two middle school students with learning disabilities and problems in mathematics were randomly assigned to treatment conditions (SBI and TI). A repeated measure with control group design was employed to compare the effects of two instructional strategies. On the measure of word problem solving performance, results indicated that the SBI group significantly outperformed the TI group on the posttest, maintenance test (administered 1 to 2 weeks later), and follow-up test (administered 3 weeks to 3 months later). The SBI group also significantly outperformed the TI group on solving transfer problems (i.e., structurally similar but more complex) following the assigned strategy instruction. In addition, the performance of the SBI group on the posttest, maintenance, and follow-up tests surpassed a normative sample of 6th graders. On the measure of students' self-perception and satisfaction, results indicated that the SBI group, especially, liked the schema-based problem solving strategy and liked to solve word problems more than they did prior to the intervention. Implications for practice are discussed.




Math Instruction for Students with Learning Problems


Book Description

Math Instruction for Students with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes an entirely new chapter on measurement and data analysis.




Instructional Practices with and without Empirical Validity


Book Description

It is important for Stakeholders to be aware of both practices supported as effective as well as ineffective for students with learning and behavioral disabilities, in order to provide instruction that results in improved learner outcomes in critical areas of education.




Teaching Mathematics to Middle School Students with Learning Difficulties


Book Description

A highly practical resource for special educators and classroom teachers, this book provides specific instructional guidance illustrated with vignettes, examples, and sample lesson plans. Every chapter is grounded in research and addresses the nuts and bolts of teaching math to students who are not adequately prepared for the challenging middle school curriculum. Presented are a range of methods for helping struggling learners build their understanding of foundational concepts, master basic skills, and develop self-directed problem-solving strategies. While focusing on classroom instruction, the book also includes guidelines for developing high-quality middle school mathematics programs and evaluating their effectiveness.




The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties


Book Description

Mathematics plays an important part in every person’s life, so why isn’t everyone good at it? The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties brings together commissioned pieces by a range of hand-picked influential, international authors from a variety of disciplines, all of whom share a high public profile. More than fifty experts write about mathematics learning difficulties and disabilities from a range of perspectives and answer questions such as: What are mathematics learning difficulties and disabilities? What are the key skills and concepts for learning mathematics? How will IT help, now and in the future? What is the role of language and vocabulary? How should we teach mathematics? By posing notoriously difficult questions such as these and studying the answers The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties is the authoritative volume and is essential reading for academics in the field of mathematics. It is an incredibly important contribution to the study of dyscalculia and mathematical difficulties in children and young adults.




Math Instruction for Students with Learning Difficulties


Book Description

This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction.




Handbook of Learning Disabilities


Book Description

Widely regarded as the standard reference in the field, this comprehensive handbook presents state-of-the-art knowledge about the nature and classification of learning disabilities (LD), their causes, and how individuals with these difficulties can be identified and helped to succeed. Best practices are described for supporting student performance in language arts, math, and other content areas. Contributors also identify general principles of effective instruction and review issues in service delivery within response-to-intervention (RTI) frameworks. The book critically examines the concepts and methods that guide LD research and highlights important directions for future investigation. New to This Edition: *Incorporates key advances in identifying and remediating LD, with particular attention to the role of RTI. *Chapters on social cognitive, behavioral genetic, and neurobiological aspects. *Chapters on adolescents and adults with LD. *Chapters on spelling instruction, history instruction, and classroom technology applications. *Chapter synthesizing 21st-century advances in LD research methods, plus chapters on advanced statistical models, single-case designs, and meta-analysis.




Intensifying Mathematics Interventions for Struggling Students


Book Description

"This book, Intensive Mathematics Interventions, provides a thorough background knowledge about mathematics difficulties across the grade span. Even more valuable to educators-this book provides user friendly guidance on how to address all of the elements of mathematics difficulties from preschool to secondary grades. Each topic provides clear guidance to support decision making about intensive instruction including examples, ideas, practices, and suggestions. You will learn about the characteristics of students with math difficulties, how to use date to progress monitor them, how to intensify interventions, specific evidence-based practices for addressing early numeracy, time and money, whole numbers, rational numbers, word problem solving strategies, algebra and even technology"--




Teaching Elementary Mathematics to Struggling Learners


Book Description

Packed with effective instructional strategies, this book explores why certain K-5 students struggle with math and provides a framework for helping these learners succeed. The authors present empirically validated practices for supporting students with disabilities and others experiencing difficulties in specific areas of math, including problem solving, early numeracy, whole-number operations, fractions, geometry, and algebra. Concrete examples, easy-to-implement lesson-planning ideas, and connections to state standards, in particular the Common Core standards, enhance the book's utility. Also provided is invaluable guidance on planning and delivering multi-tiered instruction and intervention.