Improving Mathematical Problem Solving In Grades 4 Through 8

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Intensifying Mathematics Interventions for Struggling Students

Author : Diane Pedrotty Bryant
Publisher : Guilford Publications
ISBN 13 : 1462546196
Total Pages : 226 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis Intensifying Mathematics Interventions for Struggling Students by : Diane Pedrotty Bryant

Download or read book Intensifying Mathematics Interventions for Struggling Students written by Diane Pedrotty Bryant and published by Guilford Publications. This book was released on 2021-07-05 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

Author : Bradley S. Witzel
Publisher : Guilford Publications
ISBN 13 : 1462523129
Total Pages : 193 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis Teaching Elementary Mathematics to Struggling Learners by : Bradley S. Witzel

Download or read book Teaching Elementary Mathematics to Struggling Learners written by Bradley S. Witzel and published by Guilford Publications. This book was released on 2016-01-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Math Problem Solving for Grades 4 Through 8

Author : James L. Overholt
Publisher : Allyn & Bacon
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.X/5 ( download)

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Book Synopsis Math Problem Solving for Grades 4 Through 8 by : James L. Overholt

Download or read book Math Problem Solving for Grades 4 Through 8 written by James L. Overholt and published by Allyn & Bacon. This book was released on 1984 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cognitive Foundations for Improving Mathematical Learning

Author : David C. Geary
Publisher : Academic Press
ISBN 13 : 0128159529
Total Pages : 378 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Cognitive Foundations for Improving Mathematical Learning by : David C. Geary

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 2019-01-08 with total page 378 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.

Teaching Math to Multilingual Students, Grades K-8

Author : Kathryn B. Chval
Publisher : Corwin Press
ISBN 13 : 1071810839
Total Pages : 317 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Teaching Math to Multilingual Students, Grades K-8 by : Kathryn B. Chval

Download or read book Teaching Math to Multilingual Students, Grades K-8 written by Kathryn B. Chval and published by Corwin Press. This book was released on 2021-01-07 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.

Illuminating and Advancing the Path for Mathematical Writing Research

Author : Colonnese, Madelyn W.
Publisher : IGI Global
ISBN 13 : 166846540X
Total Pages : 410 pages
Book Rating : 4.6/5 (684 download)

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Book Synopsis Illuminating and Advancing the Path for Mathematical Writing Research by : Colonnese, Madelyn W.

Download or read book Illuminating and Advancing the Path for Mathematical Writing Research written by Colonnese, Madelyn W. and published by IGI Global. This book was released on 2023-11-20 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical writing is essential for students’ math learning, but it’s often underutilized due to unclear guidelines. Mathematical writing is a mode of communication that provides teachers access to their students’ thinking and, importantly, offers students an opportunity to deepen their mathematical understanding, engage in mathematical reasoning, and learn a fundamental way to communicate mathematically. Notably, one needs to be able to judiciously combine mathematical symbols, representations, and text. However, more research is needed to exemplify the qualities of mathematical writing, develop implementation methods, and support teachers. Illuminating and Advancing the Path for Mathematical Writing Research, is a necessary comprehensive resource designed to enhance mathematical writing and promote equitable learning. This research book provides a comprehensive understanding of the current state of mathematical writing and illuminates various perspectives on moving the teaching and learning of k-12 mathematical writing forward. Mathematical writing is an important yet underutilized component of mathematical discourse, and this book offers further insight into understanding what it means to write mathematically for mathematics educators and researchers. It informs with research-based implementation strategies and creates purposeful professional learning opportunities. Ultimately, k-12 students will benefit from a more informed field because they will have access to a vital mode of mathematical reasoning and communication.

Handbook of Effective Inclusive Elementary Schools

Author : James McLeskey
Publisher : Routledge
ISBN 13 : 100045620X
Total Pages : 574 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Handbook of Effective Inclusive Elementary Schools by : James McLeskey

Download or read book Handbook of Effective Inclusive Elementary Schools written by James McLeskey and published by Routledge. This book was released on 2021-10-26 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its Second Edition, this seminal handbook offers a comprehensive exploration of how students with disabilities might be provided classrooms and schools that are both inclusive and effective. With an enhanced focus on the elementary level, this new edition provides readers with a richer, more holistic understanding of how inclusive settings operate in K-5, featuring expanded chapters on principal engagement, teacher preparation, district-level support, school-based improvement practices, and more. Fully revised and updated to reflect changes in the field, each chapter synthesizes the research, explores if and how this knowledge is currently used in schools, and addresses the implications for practice and directions for future research.

Mine the Gap for Mathematical Understanding, Grades K-2

Author : John SanGiovanni
Publisher : Corwin Press
ISBN 13 : 1506382290
Total Pages : 385 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Mine the Gap for Mathematical Understanding, Grades K-2 by : John SanGiovanni

Download or read book Mine the Gap for Mathematical Understanding, Grades K-2 written by John SanGiovanni and published by Corwin Press. This book was released on 2016-10-31 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our young learners’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.

Building Thinking Classrooms in Mathematics, Grades K-12

Author : Peter Liljedahl
Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Classroom-Ready Rich Math Tasks, Grades 4-5

Author : Beth McCord Kobett
Publisher : Corwin Press
ISBN 13 : 1071841068
Total Pages : 348 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Classroom-Ready Rich Math Tasks, Grades 4-5 by : Beth McCord Kobett

Download or read book Classroom-Ready Rich Math Tasks, Grades 4-5 written by Beth McCord Kobett and published by Corwin Press. This book was released on 2021-04-14 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 4-5 details more than 50 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible.

Follow the Science to School: Evidence-based Practices for Elementary Education

Author : Barbara Davidson
Publisher : John Catt
ISBN 13 : 1915361184
Total Pages : 120 pages
Book Rating : 4.9/5 (153 download)

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Book Synopsis Follow the Science to School: Evidence-based Practices for Elementary Education by : Barbara Davidson

Download or read book Follow the Science to School: Evidence-based Practices for Elementary Education written by Barbara Davidson and published by John Catt. This book was released on 2022-03-21 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Follow the science.” How often have you picked up an education book to read how, according to the authors, the system is broken, failing, and flailing—but their ideas for fixing it will bring about a miraculous transformation? That’s not the approach of this volume. Sure, the editors believe that our system of education could achieve significantly better results. But they also recognize that schools have gotten better over time. One explanation is the progress schools have made in “following the science”. Especially in early reading and math instruction, scholars know more now about what works than we did in the past, and more schools are putting that knowledge into practice. Now, in the wake of a horrific pandemic, even the best elementary schools are struggling to help their students get their momentum back again. In this book, the editors share high-quality syntheses of evidence and insights from leading educators, academics, and other experts. And they communicate those findings in user-friendly language, with an understanding of the real-world complexities of schools and classrooms.

Mathematical Problem Solving

Author : ALAN H. SCHOENFELD
Publisher : Elsevier
ISBN 13 : 1483295486
Total Pages : 426 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Teaching Mathematics Today 2nd Edition

Author : Erin Lehmann
Publisher : Teacher Created Materials
ISBN 13 : 1425895832
Total Pages : 242 pages
Book Rating : 4.4/5 (258 download)

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Book Synopsis Teaching Mathematics Today 2nd Edition by : Erin Lehmann

Download or read book Teaching Mathematics Today 2nd Edition written by Erin Lehmann and published by Teacher Created Materials. This book was released on 2015-04-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is a must-read for today's mathematics teachers offering research-based strategies and best practices that are critical and highly effective in mathematics instruction. This invaluable resource provides practical suggestions, resources, and templates to support the areas of classroom management, instructional planning, content and practice standard implementation, assessment, and differentiation, as well as methods to build students' conceptual understanding. It also guides teachers in using the Professional Learning Community model effectively in order to support professional growth and student achievement. With a focus on student thinking and learning, this book is an essential guide for all educators.

Making Every Maths Lesson Count

Author : Emma McCrea
Publisher : Crown House Publishing Ltd
ISBN 13 : 1785834215
Total Pages : 171 pages
Book Rating : 4.7/5 (858 download)

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Book Synopsis Making Every Maths Lesson Count by : Emma McCrea

Download or read book Making Every Maths Lesson Count written by Emma McCrea and published by Crown House Publishing Ltd. This book was released on 2019-05-01 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Making Every Maths Lesson Count: Six principles to support great maths teaching, experienced maths teacher and lecturer Emma McCrea takes away the guesswork as she sums up the key components of effective maths teaching. Maths classrooms are incredibly complex places. At any given time, the factors influencing the effectiveness of your teaching are boundless and this can lead to relying on intuition as to what might work best. This book aims to signpost a route through this complexity. Writing in the practical, engaging style of the award-winning Making Every Lesson Count, Emma McCrea helps teachers to move beyond trial and error by sharing evidence-informed tips and suggestions on how they can nudge the impact of their teaching in the right direction. Making Every Maths Lesson Count is underpinned by six pedagogical principles challenge, explanation, modelling, practice, feedback and questioning and presents 52 high-impact strategies designed to streamline teacher workload and ramp up the level of challenge in the maths classroom. The book draws out the key findings from the latest research on memory, learning and motivation and each chapter features numerous worked examples to demonstrate the theory in action, together with a concluding series of questions that will help maths practitioners relate the content to their own classroom practice. Furthermore, Emma's writing offers clarity around the language of maths teaching and learning, and also delves into the finer points of how to identify and address any misconceptions that students may hold. Written for new and experienced practitioners alike, this gimmick-free guide provides sensible solutions to perennial problems and inspires a rich, challenging and evidence-based approach to the teaching of maths. Suitable for maths teachers of students aged 11 to 18 years, and for primary school maths specialists.

Artificial Intelligence in Education

Author : Ig Ibert Bittencourt
Publisher : Springer Nature
ISBN 13 : 3030522407
Total Pages : 458 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Artificial Intelligence in Education by : Ig Ibert Bittencourt

Download or read book Artificial Intelligence in Education written by Ig Ibert Bittencourt and published by Springer Nature. This book was released on 2020-07-04 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set LNAI 12163 and 12164 constitutes the refereed proceedings of the 21th International Conference on Artificial Intelligence in Education, AIED 2020, held in Ifrane, Morocco, in July 2020.* The 49 full papers presented together with 66 short, 4 industry & innovation, 4 doctoral consortium, and 4 workshop papers were carefully reviewed and selected from 214 submissions. The conference provides opportunities for the cross-fertilization of approaches, techniques and ideas from the many fields that comprise AIED, including computer science, cognitive and learning sciences, education, game design, psychology, sociology, linguistics as well as many domain-specific areas. *The conference was held virtually due to the COVID-19 pandemic.

Building Number Sense Through the Common Core

Author : Bradley S. Witzel
Publisher : Corwin Press
ISBN 13 : 1452283915
Total Pages : 201 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Building Number Sense Through the Common Core by : Bradley S. Witzel

Download or read book Building Number Sense Through the Common Core written by Bradley S. Witzel and published by Corwin Press. This book was released on 2012-11-08 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Build a lasting foundation for math proficiency right from the start The "math" is on the wall: unless our youngest mathematicians have a solid understanding of number sense, they have little hope of mastering the higher math that lies ahead. This essential resource helps you identify where K-3 students are likely to struggle, and then intervene with smart, targeted instruction. The authors provide: Teaching strategies that build number sense skills, including quantity and cardinality, fact fluency, and more Adaptations for students with specific needs, based on an RTI approach Guidance on measuring number sense through assessments User-friendly charts, tables, and sample math problems

Teaching for Mastery

Author : Mark McCourt
Publisher : John Catt
ISBN 13 : 1398383562
Total Pages : 271 pages
Book Rating : 4.3/5 (983 download)

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Book Synopsis Teaching for Mastery by : Mark McCourt

Download or read book Teaching for Mastery written by Mark McCourt and published by John Catt. This book was released on 2019-06-28 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many models of schooling; some work, some don't. Mastery is an entire model of schooling with over 100 years of provenance, its impact has been researched for decades, with many of the world's greatest education minds testing and refining the approach. It's one of the models of schooling that actually works. In this book, Mark McCourt examines the history of a teaching for mastery approach, from its early beginnings to the modern day when cognitive scientists have been able to bring further evidence to the debate, demonstrating why a model that was first proposed in the 1910s has the incredible impact on both pupil attainment and attitudes to learning that it has had all around the world over many decades. Drawing on examples from cross disciplines, the story of mastery is one that all educators can engage with. Mark also draws on his own subject, mathematics, to further exemplify the approach and to give practical examples of pedagogies and didactics that teachers can deploy immediately in their own classroom.