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Book Solving Math Word Problems

Download or read book Solving Math Word Problems written by Asha K. Jitendra and published by Pro-Ed. This book was released on 2007 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a detailed-scripted program using Schema-Based Instruction (SBI), designed as a framework for instructional implementation. It is primarily for school practitioners (e.g., special and general education teachers, school psychologists, etc.) teaching critical word problem solving skills to students with disabilities, grades 1-8.

Book The Effects of Schema based Intervention on the Mathematical Word Problem Solving Skills of Middle School Students with Learning Disabilities

Download or read book The Effects of Schema based Intervention on the Mathematical Word Problem Solving Skills of Middle School Students with Learning Disabilities written by Kyong-Eun Na and published by . This book was released on 2009 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: A schema-based instruction allows students to approach a mathematics problem by focusing on the underlying semantic or problem structure, thus facilitating conceptual understanding and adequate skills. The purpose of this study was to examine the effectiveness of schema-based intervention on the mathematical word problem solving skills of middle school students with learning disabilities in grades 6 and 7. A nonconcurrent multiple baseline design was used for the study. Four middle school students with learning disabilities participated in pre-experimental (i.e., introduction, screening test, and Mathematics Interest Inventory sessions) and experimental (i.e., baseline, intervention, post-intervention test with generalization test, and maintenance test) sessions over a 13-week period. Participants were randomly assigned to a priori baseline durations (i.e., 6, 9, 12, 17 days) (Watson & Workman, 1981). During the intervention phase, students received 12 sessions of individual 30-35 minute schema-based intervention for 6 days (i.e., 2 sessions per day). Students participated in guided and independent practice and were encouraged to ask questions as they worked to master the material taught in each intervention session. During the postintervention phase, the four students' accuracy performance was evaluated by six untimed achievement or generalization tests. The achievement and generalization tests contained a total of 10 one-step multiplication and division word problems. All of the students achieved scores greater than a pre-determined criterion level of 70% accuracy on the six consecutive tests. Two weeks after termination of the post intervention phase, each student's accuracy performance on the achievement and generalization tests was examined during the follow-up maintenance phase. Findings revealed that the four students' performance substantially improved after they received the intervention. All four students achieved scores that exceeded the criterion level (70% accuracy) on the achievement tests during the post intervention phase. These findings provide empirical evidence that schema-based intervention is effective in teaching middle school students with learning disabilities to solve multiplication and division word problems. Limitations of the research and implications for practice and future research are discussed.

Book Schemas in Problem Solving

    Book Details:
  • Author : Sandra P. Marshall
  • Publisher : Cambridge University Press
  • Release : 1995-06-30
  • ISBN : 0521430720
  • Pages : 440 pages

Download or read book Schemas in Problem Solving written by Sandra P. Marshall and published by Cambridge University Press. This book was released on 1995-06-30 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Schemas in Problem Solving introduces a new approach to the study of learning, instruction, and assessment. Focusing on the area of arithmetic story problems, Marshall shows how instruction can lead to more meaningful learning by emphasizing the ways students acquire and store knowledge in memory. She identifies major knowledge structures called schemas, describes instruction designed around theses structures, and assesses the strengths and weaknesses in the knowledge that the students demonstrate following instruction. To evaluate the success of her approach, Marshall describes traditional experiments and computer simulations of student performance.

Book Conceptual Model Based Problem Solving

Download or read book Conceptual Model Based Problem Solving written by Yan Ping Xin and published by Springer Science & Business Media. This book was released on 2013-02-11 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Book Instructional Practices with and without Empirical Validity

Download or read book Instructional Practices with and without Empirical Validity written by Bryan G. Cook and published by Emerald Group Publishing. This book was released on 2016-07-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Implementing Schema Based Instruction in the Elementary Classroom

Download or read book Implementing Schema Based Instruction in the Elementary Classroom written by Claire B. Lim and published by . This book was released on 2015 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving mathematical word problems is an ongoing problem for students with both reading and math learning disabilities (Powell, 2011). As more and more students with learning disabilities are included in the general education classroom, teachers must differentiate instruction to benefit all learners. The current strategies emphasized in textbooks are misleading and too general for students who struggle (Jitendra, 2008). Schema-based instruction is an alternative problem solving strategy, which requires students to identify the underlying structure (schema) which each word problem belongs, to translate important information to a diagram, and then to solve the problem. This project uses cognitive theory as a theoretical framework and analyzes the effects of schema-based instruction on students with learning disabilities and their general education peers. Enhancement materials for implementing schema-based instruction were created so that teachers in a small, urban, parochial school could meet the mathematical needs of a diverse population of students. The key features of the enhancement materials include descriptions of each schema, directions for delivering explicit instruction, example and practice word problems, and student reference materials/manipulatives.

Book Teaching Students with Moderate and Severe Disabilities

Download or read book Teaching Students with Moderate and Severe Disabilities written by Diane M. Browder and published by Guilford Press. This book was released on 2011-07-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been replaced by Teaching Students with Moderate and Severe Disabilities, Second Edition, 978-1-4625-4238-3.

Book Response to Intervention in Math

Download or read book Response to Intervention in Math written by Paul J. Riccomini and published by Corwin Press. This book was released on 2010 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides educators with instructions on applying response-to-intervention (RTI) while teaching and planning curriculum for students with learning disabilities.

Book Elementary and Middle School Mathematics

Download or read book Elementary and Middle School Mathematics written by John A. Van de Walle and published by Pearson Education. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help teachers develop a real understanding of the mathematics they will teach and the most effective methods of teaching the various mathematics topics. This text reflects the NCTM and Common Core State Standards and the benefits of problem-based mathematics instruction. It is structured for maximum flexibility, offering 23 chapters that may be mixed and matched to fit any course or teaching approach. This comprehensive, practical text offers readers a strong theoretical perspective reflecting the most current research on how students learn mathematics, ways to best teach it, and many problem-based activities to engage students. An important reference to consult throughout a teaching career, Van de Walle, Karp and Bay-William's book helps teachers and their preK-8 students find the excitement that happens when mathematics makes sense.

Book Mathematics Word Problem Solving  An Investigation Into Schema Based Instruction in a Computer Mediated Setting and a Teacher Mediated Setting with Mathematically Low Performing Students

Download or read book Mathematics Word Problem Solving An Investigation Into Schema Based Instruction in a Computer Mediated Setting and a Teacher Mediated Setting with Mathematically Low Performing Students written by Jayne Leh and published by . This book was released on 2011 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Substantial evidence indicates that teacher-delivered schema-based instruction (SBI) facilitates significant increases in mathematics word problem solving (WPS) skills for diverse students; however research is unclear whether technology affordances facilitate superior gains in computer-mediated (CM) instruction in mathematics WPS when compared to teacher-mediated (TM) instruction particularly for low-performing students. This study investigated the differential effects of CM-SBI compared to TMSBI on mathematics WPS performance of mathematically low-achieving third-grade students using two commercially available packages (i.e., GO Solve Word Problems computer software [Tom Snyder Productions, 2005] and Solving Math Word Problems: Teaching Students with Learning Disabilities Using Schema-Based Instruction [Pro-Ed, 2007]). In addition, teacher and student satisfaction with strategy instruction and program materials were examined. Twenty-five students from one school district were randomly assigned to either a CM condition or a TM condition. Both conditions employed SBI that guided students to identify the problem type, and map the problem features using diagrams. Further, both conditions employed key instructional design principles and mathematics problem solving instructional features identified in the literature as effective for teaching students with disabilities (e.g., schematic diagrams, worked examples, visual representations, modeling). Intervention in both conditions consisted of 15 instructional sessions spanning six school weeks and session times remained constant between conditions. A pretest-posttest-delayed posttest repeated measures design (2 Group x 3 Times) with random assignment evaluates WPS gains of the two conditions using criterion-referenced WPS pretest, posttest and maintenance tests. Overall, results indicated that students in both conditions made significant gains in WPS performance and maintained gains after four weeks with no significant differences between conditions. Results suggest that SBI was effective at increasing and maintaining student skills in WPS performance regardless of instructional mode. Results also revealed no significant difference between conditions on student satisfaction or motivation and the teachers' preference for the TM curriculum over the computer software was indicated. Results suggest that the most important variable in terms of student gains in WPS acquisition and maintenance for mathematically low-performing students in CM settings is the strategy implemented (e.g., SBI that employs key instructional design features). Implications, limitations and recommendations for future research are discussed.

Book Assessing Higher Order Thinking in Mathematics

Download or read book Assessing Higher Order Thinking in Mathematics written by Gerald Kulm and published by Advancement of Science. This book was released on 1990-01-01 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the elementary and secondary grades, this book explores current theory, research, practice, and policy in the assessment of higher order thinking in mathematics. The chapter authors combine current knowledge and research on mathematics learning and testing to provide examples of innovative test items for classroom use and state assessment programs, and present information on new assessment technologies, including computer-based approaches. Special coverage includes: * both background information and theoretical perspectives and examples of research on alternative assessment strategies; * a broad perspective on assessing higher-order thinking, including problem solving, consistent with recent work such as the NCTM Standards documents; * a discussion of how the recent changes not only in teaching and learning but in our world view of mathematics education imply the need for new approaches to assessment; and * information on assessment in the context of technology (calculators and computers) with illustrations of both practical and long-term issues.

Book The Oxford Handbook of Numerical Cognition

Download or read book The Oxford Handbook of Numerical Cognition written by Roi Cohen Kadosh and published by Oxford Library of Psychology. This book was released on 2015 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.

Book Teaching Mathematics to Middle School Students with Learning Difficulties

Download or read book Teaching Mathematics to Middle School Students with Learning Difficulties written by Marjorie Montague and published by Guilford Press. This book was released on 2006-06-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book International Handbook of Mathematical Learning Difficulties

Download or read book International Handbook of Mathematical Learning Difficulties written by Annemarie Fritz and published by Springer. This book was released on 2019-01-30 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Book Cognitive Foundations for Improving Mathematical Learning

Download or read book Cognitive Foundations for Improving Mathematical Learning written by David C. Geary and published by Academic Press. This book was released on 2019-01-03 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties