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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 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 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 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 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 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 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 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

Book Item Generation for Test Development

Download or read book Item Generation for Test Development written by S. H. Irvine and published by Psychology Press. This book was released on 2002 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work covers topics such as: the psychometric and cognitive theory of item generation; construct-oriented approaches to item generation; implementation; and applications of item-generative principles.

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 Learning to Solve Problems

Download or read book Learning to Solve Problems written by David H. Jonassen and published by John Wiley & Sons. This book was released on 2004-05-03 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning to Solve Problems is a much-needed book thatdescribes models for designing interactive learning environments tosupport how to learn and solve different kinds of problems. Using aresearch-based approach, author David H. Jonassen?a recognizedexpert in the field?shows how to design instruction to supportthree kinds of problems: story problems, troubleshooting, and caseand policy analysis problems. Filled with models and job aids, thisbook describes different approaches for representing problems tolearners and includes information about technology-based tools thatcan help learners mentally represent problems for themselves.Jonassen also explores methods for associating different solutionsto problems and discusses various processes for reflecting on theproblem solving process. Learning to Solve Problems alsoincludes three methods for assessing problem-solvingskills?performance assessment, component skills; and argumentation.

Book How Students Learn

    Book Details:
  • Author : National Research Council
  • Publisher : National Academies Press
  • Release : 2005-01-23
  • ISBN : 0309074339
  • Pages : 633 pages

Download or read book How Students Learn written by National Research Council and published by National Academies Press. This book was released on 2005-01-23 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you get a fourth-grader excited about history? How do you even begin to persuade high school students that mathematical functions are relevant to their everyday lives? In this volume, practical questions that confront every classroom teacher are addressed using the latest exciting research on cognition, teaching, and learning. How Students Learn: History, Mathematics, and Science in the Classroom builds on the discoveries detailed in the bestselling How People Learn. Now, these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in teaching history, science, and math topics at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. The book explores the importance of balancing students' knowledge of historical fact against their understanding of concepts, such as change and cause, and their skills in assessing historical accounts. It discusses how to build straightforward science experiments into true understanding of scientific principles. And it shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. How Students Learn offers a highly useful blend of principle and practice. It will be important not only to teachers, administrators, curriculum designers, and teacher educators, but also to parents and the larger community concerned about children's education.

Book The Cambridge Handbook of Cognition and Education

Download or read book The Cambridge Handbook of Cognition and Education written by John Dunlosky and published by Cambridge University Press. This book was released on 2019-02-07 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.

Book Math Problem Solving in Action

Download or read book Math Problem Solving in Action written by Nicki Newton and published by Routledge. This book was released on 2017-02-10 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new book from popular math consultant and bestselling author Dr. Nicki Newton, you’ll learn how to help students become more effective and confident problem solvers. Problem solving is a necessary skill for the 21st century but can be overwhelming for both teachers and students. Dr. Newton shows how to make word problems more engaging and relatable, how to scaffold them and help students with math language, how to implement collaborative groups for problem solving, how to assess student progress, and much more. Topics include: Incorporating problem solving throughout the math block, connecting problems to students’ real lives, and teaching students to persevere; Unpacking word problems across the curriculum and making them more comprehensible to students; Scaffolding word problems so that students can organize all the pieces in doable ways; Helping students navigate the complex language in a word problem; Showing students how to reason about, model, and discuss word problems; Using fun mini-lessons to engage students in the premise of a word problem; Implementing collaborative structures, such as math literature circles, to engage students in problem solving; Getting the whole school involved in a problem-solving challenge to promote schoolwide effort and engagement; and Incorporating assessment to see where students are and help them get to the next level. Each chapter offers examples, charts, and tools that you can use immediately. The book also features an action plan so that you can confidently move forward and implement the book’s ideas in your own classroom. Free accompanying resources are provided on the author's website, www.drnickinewton.com.

Book Schema based Instruction and Assessment of Math Word Problem Solving

Download or read book Schema based Instruction and Assessment of Math Word Problem Solving written by Zhi-Jun Wu and published by . This book was released on 1990 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Teaching Students with Learning Problems

Download or read book Teaching Students with Learning Problems written by Cecil D Mercer and published by . This book was released on 2013-09-20 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logically organized, comprehensive, and thoroughly applied, the eighth edition of Teaching Students with Learning Problems contains the resources teachers need to make informed decisions concerning their students with learning or behavior problems. No text on the market offers this many classroom-tested strategies, including activities and games. Unique in its coverage the materials and computer software most appropriate for students with learning problems in every content area, this top-selling text continues to be the most practical and well-researched resource for classroom teachers.