The Effect of Behavior Within a Word-problem Intervention for Students with Mathematical Difficulties


Book Description

Students with or at-risk for challenging behaviors (e.g., students with emotional and behavioral disorders [EBD]) represent a group of children who often experience difficulty with both behavior and academics. Researchers and educators have designed interventions to improve the conduct for students with challenging behaviors, however, few mathematics interventions are specifically designed to support students with challenging behaviors. One mathematics intervention with a strong evidence base for use with students with learning disabilities is using schemas to solve word problems. Notably, researchers also have identified schema-based instruction as an effective intervention to solve word-problems for students with EBD. While a promising intervention, little is known about the effectiveness of a word-problem intervention relative to student behavior. That is, do behavioral profiles collected before the start of intervention predict response to intervention? This study sought to compare the behavioral profiles of students with and without mathematics difficulty (MD) and investigate the efficacy of a randomized control trial of a word-problem intervention for students with MD. Results of the present study indicated that students with MD demonstrate higher externalizing and internalizing behaviors than students without MD. Additionally, students in the word-problem intervention groups outperformed their peers in a no-treatment comparison group on all outcome measures, but most notably, on double-digit word problems with an effect size of 1.01. While students with high externalizing scores in the treatment condition performed significantly lower on a double-digit word-problem outcome measure than students without high externalizing scores, their externalizing score was not necessarily predictive of their word-problem gains. When comparing students with and without high internalizing scores in the treatment group, there was no statistical difference. Findings from this study establish a need to continue to study the link between mathematics difficulties and behavioral challenges.




Effects of a Mathematics Word Problems Intervention for English Learner Students with Mathematics Difficulty


Book Description

The primary aim of this dissertation study was to determine whether English language learners (ELs) who received word-problem intervention (e.g., Pirate Math) demonstrated statistical differences in word-problem solving performance compared to their non-English language learner peers (non-ELs). My study (i.e., the present study) is part of a parent study funded by the Institute for Education Sciences (Powell, Berry & Barnes, 2020) designed to test the efficacy of a word-problem intervention (e.g., Pirate Math) for students with or at-risk for mathematics difficulties (MD) and to understand the role of algebraic reasoning within a word-problem intervention. Participants were third-grade students from the local school district. I analyzed data from two cohorts of the parent study (i.e., 2016-2017 and 2017-2018). In previous research, Pirate Math has successfully improved the word-problem solving performance of students in second and third grade (Fuchs, Powell, et al., 2014; Fuchs, Zumeta, et al., 2010; Powell, Berry, et al., 2019. While schema tutoring is a promising intervention, the efficacy of Pirate Math for third-grade students in the process of learning a new language and experience MD (i.e., Els with MD) is less known. With this dissertation study, I contribute to the growing body of research that examines the effects of randomized-controlled trials on a particular subgroup of students (i.e., EL students with or at-risk for MD). The school district determined EL status using an English proficiency test. In the parent study, the research team screened students on a word-problem measure (Jordan & Hanich, 2000), and using a cut-off score of 25th percentile, identified students as experiencing MD and regarded them eligible for the study. The research team randomly assigned eligible students to Pirate Math intervention or business-as-usual comparison group (BaU). Using one outcome measure of word problems (Texas Word Problems by Powell & Berry, 2015), I hypothesized that at posttest, the Pirate Math students would outperform the BaU students on the outcome measure. Using regression, I conducted a moderation analysis to examine whether language status moderates the intervention's effectiveness for ELs and non-ELs. Given that ELs perform at lower rates in mathematics, a significant need exists to understand ELs' performance on word problems and how it differs from the performance of their native English-speaking peers. In the concluding chapter, I discuss the study’s findings, implications for practice, and recommendations for future research




Response to Intervention in Math


Book Description

Provides educators with instructions on applying response-to-intervention (RTI) while teaching and planning curriculum for students with learning disabilities.




Making Sense of Word Problems


Book Description

Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.




Conceptual Model-Based Problem Solving


Book Description

Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students’ conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you. • The conceptual model-based problem solving (COMPS) program emphasizes mathematical modeling and algebraic representation of mathematical relations in equations, which are in line with the new Common Core. • “Through building most fundamental concepts pertinent to additive and multiplicative reasoning and making the connection between concrete and abstract modeling, students were prepared to go above and beyond concrete level of operation and be able to use mathematical models to solve more complex real-world problems. As the connection is made between the concrete model (or students’ existing knowledge scheme) and the symbolic mathematical algorithm, the abstract mathematical models are no longer “alien” to the students.” As Ms. Karen Combs, Director of Elementary Education of Lafayette School Corporation in Indiana, testified: “It really worked with our kids!” • “One hallmark of mathematical understanding is the ability to justify,... why a particular mathematical statement is true or where a mathematical rule comes from” (http://illustrativemathematics.org/standards). Through making connections between mathematical ideas, the COMPS program makes explicit the reasoning behind math, which has the potential to promote a powerful transfer of knowledge by applying the learned conception to solve other problems in new contexts. • Dr. Yan Ping Xin’s book contains essential tools for teachers to help students with learning disabilities or difficulties close the gap in mathematics word problem solving. I have witnessed many struggling students use these strategies to solve word problems and gain confidence as learners of mathematics. This book is a valuable resource for general and special education teachers of mathematics. - Casey Hord, PhD, University of Cincinnati




Handbook of Research in Emotional and Behavioral Disorders


Book Description

Brinig together leading reserachers, this book integrates current knowledge on emotional and behavioral disorders in the school setting. Reviewed are a range of evidence-based approaches to identifying, assessing, and intervening with this difficult-to-teach population. School practitioners and educators gain essential tools for developing and evaluating programs to improve student behvior, boost self-control and social skills, and maximize academic achievement. Findings on early intervention and prevention are presented, and inplications for policy discussed. Broad in coverage, the volume also empasizes the importance of interdisciplinary collaboration in service provision and delineates best-practice guidelines for research.




Connecting the NCTM Process Standards and the CCSSM Practices


Book Description

Since their release in 2010, the Common Core State Standards Initiative (CCSSI) has had a profound impact on educational reform. The adoption of these standards represents an opportunity to support teachers in the common goal of helping students achieve a high-quality education. The Common Core State Standards for Mathematics will affect almost every K-12 student and the majority of the US’s teachers over the next decade. Although the CCSSM was created through a top-down approach, spearheaded by the National Governors Association and the Council of Chief State School officers, the primary audience and the ultimate users of the standards are classroom teachers. The focus of this book is on the Standards of Mathematical Practice outlined in the CCSSM. Although the CCSSM features these standards prominently, they are not described in detail and are not integrated into CCSSM's Standards for Mathematical Content. As a result, they are easy to overlook or ignore. The ideas in the Standards for Mathematical Practice are not new but linked to previous practices and standards articulated by other groups, including the National Council of Teachers of Mathematics (NCTM). For example, problem solving and reasoning are at the core of all practices outlined in CCSSM, just as they have been at the core of NCTM's vision for mathematics education since the publication of An Agenda for Action in 1980. Subsequent NCTM curriculum recommendations, emphasized and elaborated the role and place of mathematical processes and practices. The Standards of Mathematical Process outlined in CCSSM, and explored in greater detail in this book, reaffirm the significance of habits of mind, mathematical processes, and proficiency as crucial aspects of learning mathematics. Although the terms and emphasis may be new to teachers, the main ideas have existed a long time and remain unchanged. Intended for classroom teachers, this book makes explicit connections between these related ideas and the CCSSM Standards for Mathematical Practice. By connecting the CCSSM to previous standards and practices, the book serves as a valuable guide for teachers and administrators in implementing the CCSSM to make mathematics education the best and most effective for all students.




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.




The Effects of Comprehension Intervention on Mathematics Problem Solving for Students with Mathematics Disability


Book Description

The purpose of this study was to examine the effectiveness of a mathematics problem solving intervention strategies for 3rd grade students identified as having a Mathematics Disability and students who are English Learners. The intervention targeted specific proposition within word problems as a means to enhance solution accuracy. Three instructional interventions explicitly directed students' attention to different propositions within word problems through writing out and paraphrasing. Two studies were conducted over two academic school years. In Study 1, intervention was directed to seventy (n = 70) students operationally identified as having Math Disabilities (md), whereas Study 2 was direct to seventy-two (n = 72) students who were English Learners. Results from both studies provide support for the effectiveness of interventions that directs students to restate/paraphrase components (propositions) of mathematics word problems relative to the control conditions. Results from Study 1 indicated that restating and paraphrasing components of a word problem that primarily includes the irrelevant information had the greatest impact on mathematical problem solving accuracy. Results in Study 2 indicated that identifying, restating, and paraphrasing all the necessary information had the greatest impact on mathematical problem solving accuracy. [The dissertation citations contained here are published with the permission of ProQuest llc. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com/en-US/products/dissertations/individuals.shtml.].




Learning Disabilities


Book Description

Learning Disabilities focuses on both the characteristics of students with learning disabilities as well as classroom tested instructional strategies. By utilizing the author's 20+ years of experience of working with children and adolescents who have learning disabilities, this text presents the latest research and information for every major developmental area. Accurate in content dealing with characteristics associated with learning disabilities, this practical guide also offers insight into educational concerns from a teacher's perspective, as well as the relevant scholarship. This edition continues to offer detailed coverage of the best educational ideas, the latest scholarship, and the issues still open to debate in the dynamic, challenging, and demanding field of learning disabilities. Building on the success of previous editions, the fourth edition now also addresses the hot topic of Brain Compatible Instruction.