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Author: Margaret Schwan Smith
Publisher: Teachers College Press
ISBN: 9780807745298
Category : Education
Languages : en
Pages : 168
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Book Description
Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Author: Margaret Schwan Smith
Publisher: Teachers College Press
ISBN: 9780807745298
Category : Education
Languages : en
Pages : 168
Get Book Here
Book Description
Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Author: Margaret Schwan Smith
Publisher: Teachers College Press
ISBN: 9780807745311
Category : Education
Languages : en
Pages : 166
Get Book Here
Book Description
Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53
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Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Author: Mary Kay Stein
Publisher: Teachers College Press
ISBN: 0807775207
Category : Education
Languages : en
Pages : 298
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Book Description
Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. Author Mary Kay Stein and her colleagues at the QUASAR Project at the University of Pittsburgh present prevalent cases of mathematics instruction drawn from their research of nearly 500 classroom lessons. The Mathematical Tasks Framework, developed by the authors and explained thoroughly in the book, offers teachers and teacher educators the means to evaluate instructional decisions, the choice of materials, and learning outcomes, and the case studies afford readers the opportunity to ground these ideas in actual classroom practice. Readers will gain insight about how to foster a challenging, cognitively rich, and exciting classroom climate that propels students toward a richer understanding of mathematics. “If every teacher and teacher educator took the opportunity to study and discuss these cases, students everywhere would know and value mathematics as the national standards have envisioned.” —Susan Loucks-Horsley, Director of Professional Development for the National Institute for Science Education “The power of case discussions can be fully realized using this book as a tool. Equally important, teachers will be highly motivated because they see their own practice mirrored in the cases.” —Carne Barnett, WestEd, San Francisco, CA
Author: Robert J. Marzano
Publisher: Solution Tree Press
ISBN: 0985890215
Category : Education
Languages : en
Pages : 411
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Book Description
Discover how to weave an in-depth understanding of the Common Core into successful classroom practice with this two-part resource. You’ll learn how to power the standards with guided assessment and measure student progress in a way that accurately reflects learning. Included are hundreds of ready-to-use, research-based proficiency scales for both English language arts and mathematics.
Author: Daniela Lucangeli
Publisher: Routledge
ISBN: 0429752431
Category : Psychology
Languages : en
Pages : 192
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Book Description
This accessible book provides evidence-based guidelines on dyscalculia, offering a thorough explanation of the science behind the disorder. It combines this theoretical framework with practical recommendations, offering interventions for managing the condition at home and school and avoiding potential behavioural consequences. Written in a straightforward style, this book provides a concise summary of relevant research to empower the reader to take an informed and positive approach to dyscalculia and those who live with it. The internationally based team of contributors examine the different models that explain the construct of dyscalculia, looking at definitions and theories alongside signs, symptoms and diagnosis. Chapters also explore how to communicate diagnosis to peers, possible cultural differences and sensitivities when related to mathematics education and dyscalculia and the importance of maintaining a proactive attitude when working with children with dyscalculia. Understanding Dyscalculia is essential reading for parents and practitioners in clinical and educational psychology, education professionals and students and researchers of special educational needs, educational psychology and counselling psychology.
Author: Yeping Li
Publisher: Springer Science & Business Media
ISBN: 1441977074
Category : Education
Languages : en
Pages : 374
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Book Description
Accumulated research findings in past decades have led to the common knowledge that teachers’ professional knowledge is essential to effective classroom instruction. However, there is still very limited understanding about the nature of teachers’ expertise in mathematics instruction. Expertise in Mathematics Instruction addresses this need clearly and concisely. In particular, it examines all aspects of emphases employed to characterize the nature of expertise in mathematics instruction from both researchers’ and practitioners’ perspectives. Moreover, with research contributions from both the East and the West, this book also examines ideas pertinent to fostering and demonstrating expertise in mathematics instruction within different system contexts. This book will raise questions and issues for mathematics education researchers to guide a critical examination of what can be learned from other education systems. Expertise in Mathematics Instruction builds on its theoretical and methodological approach with contributions from international experts in the field. Additionally, a review of related research from mathematics education serves as an introduction to the new research in both Eastern and Western settings. Concluding this resource is a reflection on the benefits of this international collaboration and possible research directions for the future. The final chapter cohesively joins traditional and current research for action. Expertise in Mathematics Instruction is of interest to researchers in mathematics education, mathematics teacher educators, and mathematics educators.
Author: Wachira, Patrick
Publisher: IGI Global
ISBN: 1799814777
Category : Education
Languages : en
Pages : 325
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Book Description
Online learning has become an important vehicle for teacher and student learning. When well designed, online environments can be very powerful in a way that is consistent with the goals of inquiry, experimentation, investigation, reasoning, and problem solving so learners can develop a deep understanding of a subject. Some subjects, however, are not well suited for this type of learning due to the need for small group collaborating and hands-on problem solving. The Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education provides innovative insights into technology applications and tools used in teaching mathematics online and provides examples of online learning environments and platforms that are suitable for meeting math education goals of inquiry, investigation, reasoning, and problem solving. The content within this publication examines access to education, professional development, and web-based learning. It is designed for teachers, curriculum developers, instructional designers, educational software developers, IT consultants, higher education faculty, policymakers, administrators, researchers, academicians, and students.
Author: Helene J. Sherman
Publisher: Waveland Press
ISBN: 147863913X
Category : Education
Languages : en
Pages : 280
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Book Description
Highly regarded by instructors in past editions for its sequencing of topics and extensive set of exercises, the latest edition of Abstract Algebra retains its concrete approach with its gentle introduction to basic background material and its gradual increase in the level of sophistication as the student progresses through the book. Abstract concepts are introduced only after a careful study of important examples. Beachy and Blair’s clear narrative presentation responds to the needs of inexperienced students who stumble over proof writing, who understand definitions and theorems but cannot do the problems, and who want more examples that tie into their previous experience. The authors introduce chapters by indicating why the material is important and, at the same time, relating the new material to things from the student’s background and linking the subject matter of the chapter to the broader picture. Building proficiency in learning mathematics by tailoring instruction to students’ specific misconceptions and learning needs is the backbone of this indispensable text, written for K–8 pre- and inservice teachers, as well tutors. An important theme is that long-term retention is based on a strong conceptual foundation of numeracy and on a well-designed learning environment. Each chapter deals with a different mathematics topic, including whole numbers, fractions, decimals, as well as time and money. Chapters also include examples of error patterns and specific, well-defined strategies and activities for diagnosis, prescription, and remediation. New to this edition is a chapter devoted to English language learners. The complexities of language barriers are delineated along with reasons that students struggle with learning English and mathematics at the same time. An audio file of common mathematics terms translated from English into most-often spoken languages by ELLs can be accessed at www.youareamathperson.com. Outstanding features: • Response to Intervention (RTI) model underpins discussions of differentiating instruction. • Mathematics content reflects components of the Common Core State Standards Initiative for Mathematics and the National Council of Teachers of Mathematics’ Principles and Standards for School Mathematics. • Case studies and student examples promote a sound understanding of learners’ varied cognitive, behavioral, and physical needs. • Discussion questions challenge readers to think more deeply about the application and utility of concepts related to the error patterns. • Step-by-step directions for interactive instructional classroom games and activities are provided to extend and enrich teaching and learning.
Author:
Publisher: Teachers College Press
ISBN: 9780807746332
Category : Education
Languages : en
Pages : 116
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Book Description
This book describes how middle school science teachers, in collaboration with a team of researchers, tried to improve their everyday assessment practices to enhance student learning. It discusses the challenges they faced, the differences among the teachers, and the personal nature of deep educational change. A product of CAPITAL (Classroom Assessment Project to Improve Teaching and Learning), a research effort supported by the National Science Foundation, this book: Uses classroom stories to show how teachers can use a variety of formative assessment techniques to answer questions they have about their teaching.; Provides real-life examples of teachers grappling with new practices at a personal level, in their own settings and in light of their own values and beliefs; Offers suggestions for designing professional development efforts that recognize the significant variation among teachers in how they go about changing their assessment practices ; Outlines principles and practices that must accompany change in the classroom if it is to be more than superficial.
