Designing Mathematics or Science Curriculum Programs

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Author :
Publisher : National Academies Press
ISBN 13 : 0309065275
Total Pages : 71 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Designing Mathematics or Science Curriculum Programs by : National Research Council

Download or read book Designing Mathematics or Science Curriculum Programs written by National Research Council and published by National Academies Press. This book was released on 1999-12-15 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the publication of the National Science Education Standards and the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards for School Mathematics, a clear set of goals and guidelines for achieving literacy in mathematics and science was established. Designing Mathematics or Science Curriculum Programs has been developed to help state- and district-level education leaders create coherent, multi-year curriculum programs that provide students with opportunities to learn both mathematics and science in a connected and cumulative way throughout their schooling. Researchers have confirmed that as U.S. students move through the grade levels, they slip further and further behind students of other nations in mathematics and science achievement. Experts now believe that U.S. student performance is hindered by the lack of coherence in the mathematics and science curricula in many American schools. By structuring curriculum programs that capitalize on what students have already learned, the new concepts and processes that they can learn will be richer, more complex, and at a higher level. Designing Mathematics or Science Curriculum Programs outlines: Components of effective mathematics and science programs. Criteria by which these components can be judged. A process for developing curriculum that is structured, focused, and coherent. Perhaps most important, this book emphasizes the need for designing curricula across the entire 13-year span that our children spend in elementary and secondary school as a way to improve the quality of education. Ultimately, it will help state and district educators use national and state standards to design or re-build mathematics and science curriculum programs that develop new ideas and skills based on earlier onesâ€"from lesson to lesson, unit to unit, year to year. Anyone responsible for designing or influencing mathematics or science curriculum programs will find this guide valuable.

Designing Professional Development for Teachers of Science and Mathematics

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Author :
Publisher : Corwin Press
ISBN 13 : 1452272557
Total Pages : 424 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Designing Professional Development for Teachers of Science and Mathematics by : Susan Loucks-Horsley

Download or read book Designing Professional Development for Teachers of Science and Mathematics written by Susan Loucks-Horsley and published by Corwin Press. This book was released on 2009-11-24 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic guide for designing robust science and mathematics professional development programs! This expanded edition of one of the most widely cited resources in the field of professional development for mathematics and science educators demonstrates how to design professional development experiences for teachers that lead to improved student learning. Presenting an updated professional development (PD) planning framework, the third edition of the bestseller reflects recent research on PD design, underscores how beliefs and local factors can influence PD design, illustrates a wide range of PD strategies, and emphasizes the importance of: Continuous program monitoring Combining strategies to address diverse needs Building cultures that sustain learning

Elementary Mathematics Curriculum Materials

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Author :
Publisher : Springer Nature
ISBN 13 : 3030385884
Total Pages : 329 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Elementary Mathematics Curriculum Materials by : Janine T. Remillard

Download or read book Elementary Mathematics Curriculum Materials written by Janine T. Remillard and published by Springer Nature. This book was released on 2020-03-16 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents comparative analyses of five elementary mathematics curriculum programs used in the U.S. from three different perspectives: the mathematical emphasis, the pedagogical approaches, and how authors communicate with teachers. These perspectives comprise a framework for examining what curriculum materials are comprised of, what is involved in reading and interpreting them, and how curriculum authors can and do support teachers in this process. Although the focus of the analysis is 5 programs used at a particular point in time, this framework extends beyond these specific programs and illuminates the complexity of curriculum materials and their role in teaching in general. Our analysis of the mathematical emphasis considers how the mathematics content is presented in each program, in terms of sequencing, the nature of mathematical tasks (cognitive demand and ongoing practice), and the way representations are used. Our analysis of the pedagogical approach examines explicit and implicit messages about how students should interact with mathematics, one another, the teacher, and the textbook around these mathematical ideas, as well as the role of the teacher. In order to examine how curriculum authors support teachers, we analyze how they communicate with teachers and what they communicate about, including the underlying mathematics, noticing student thinking, and rationale for design elements. The volume includes a chapter on curriculum design decisions based on interviews with curriculum authors.

Designing Professional Development for Teachers of Science and Mathematics

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Author :
Publisher : Corwin Press
ISBN 13 : 0761946861
Total Pages : 408 pages
Book Rating : 4.7/5 (619 download)

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Book Synopsis Designing Professional Development for Teachers of Science and Mathematics by : Susan Loucks-Horsley

Download or read book Designing Professional Development for Teachers of Science and Mathematics written by Susan Loucks-Horsley and published by Corwin Press. This book was released on 2003-02-14 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This New Edition collects and brings together in one place what has been learned from professional developers efforts across the country in order to make the framework, principles, and strategies of the first edition come to life. This edition deepens our understanding of professional development through further research and new resources. The original purpose of this book to put a competent and caring teacher in every classroom has yet to be fulfilled and is more urgent now than ever. The authors provide one-stop shopping for busy practitioners that incorporates the most up-to-date research gleaned from the broadest possible research base as well as robust and rich descriptions of effective professional development programmes. It incorporates the growing knowledge base about learning, teaching, the nature of science and mathematics, professional development, and change. The authors scanned the field of professional development in mathematics and science over the last five years, noting what has changed and what has not, dissected the original framework, updated examples, incorporate what authors have learned as well as advances in the field. This essential primer offers a framework that considers key inputs and combines strategies uniquely tailored to their environment and goals; summarizes key knowledge and best practices; provides guidance on assessing one′s context; describes strategies that go beyond most common workshops and institutes; provides real-life examples of how elements of the framework were used to create professional development initiatives; offers references and resources for further exploration and inquiry. Highlights of the Second Edition include: - New design framework that incorporates standards, student learning data, and evaluation techniques - More guidance for assessing context using data - More strategies for professional development, including lesson study, aligning and selecting curriculum, and demonstration lessons. - Stronger real-life examples, including new uses of technology and data-driven designs An essential resource for educators who design, conduct, and support professional development for teachers of mathematics and science, including staff developers, principals, teacher leaders, curriculum supervisors, and leadership teams. College and university faculty in education, science, and mathematics will also find this to be a useful compendium of ideas for improving mathematics and science education.

Handbook of Research Design in Mathematics and Science Education

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1135705836
Total Pages : 995 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Handbook of Research Design in Mathematics and Science Education by : Anthony Edward Kelly

Download or read book Handbook of Research Design in Mathematics and Science Education written by Anthony Edward Kelly and published by Taylor & Francis. This book was released on 2012-10-12 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that: * have been pioneered recently by mathematics and science educators; * have distinctive characteristics when they are used in projects that focus on mathematics and science education; and * have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction. The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research. The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad. A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/ This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.

Learning and Understanding

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Publisher : National Academies Press
ISBN 13 : 030917080X
Total Pages : 588 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Learning and Understanding by : National Research Council

Download or read book Learning and Understanding written by National Research Council and published by National Academies Press. This book was released on 2002-08-06 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.

Course and Curriculum Improvement Projects: Mathematics, Science, Social Sciences

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Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Course and Curriculum Improvement Projects: Mathematics, Science, Social Sciences by : National Science Foundation (U.S.)

Download or read book Course and Curriculum Improvement Projects: Mathematics, Science, Social Sciences written by National Science Foundation (U.S.) and published by . This book was released on 1970 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selecting Instructional Materials

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Publisher : National Academies Press
ISBN 13 : 030906533X
Total Pages : 136 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Selecting Instructional Materials by : National Research Council

Download or read book Selecting Instructional Materials written by National Research Council and published by National Academies Press. This book was released on 1999-12-17 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The National Science Education Standards set broad content goals for teaching grades K-12. For science teaching programs to achieve these goalsâ€"indeed, for science teaching to be most effectiveâ€"teachers and students need textbooks, lab kits, videos, and other materials that are clear, accurate, and help students achieve the goals set by the standards. Selecting Instructional Materials provides a rigorously field-tested procedure to help education decisionmakers evaluate and choose materials for the science classroom. The recommended procedure is unique, adaptable to local needs, and realistic given the time and money limitations typical to school districts. This volume includes a guide outlining the entire process for school district facilitators, and provides review instruments for each step. It critically reviews the current selection process for science teaching materialsâ€"in the 20 states where the state board of education sets forth a recommended list and in the 30 states where materials are selected entirely by local decisionmakers. Selecting Instructional Materials explores how purchasing decisions are influenced by parent attitudes, political considerations, and the marketing skills of those who produce and sell science teaching materials. It will be indispensable to state and local education decisionmakers, science program administrators and teachers, and science education advocates.

Science Curriculum Topic Study

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Author :
Publisher : Corwin Press
ISBN 13 : 1412908922
Total Pages : 321 pages
Book Rating : 4.4/5 (129 download)

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Book Synopsis Science Curriculum Topic Study by : Page Keeley

Download or read book Science Curriculum Topic Study written by Page Keeley and published by Corwin Press. This book was released on 2005-02-23 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: ′Without question, this book will be of great value to the profession of science teaching. Given today′s educational landscape of standards and high-stakes testing, curriculum topic study is an essential piece of the puzzle′ - Cary Sneider, Vice President for Educator Programs, Museum of Science, Boston Discover the "missing link" between science standards, teacher practice, and improved student achievement! Becoming an accomplished science teacher not only requires a thorough understanding of science content, but also a familiarity with science standards and research on student learning. However, a comprehensive strategy for translating standards and research into instructional, practice has been lacking since the advent of standards-based education reform. Science Curriculum Topic Study provides a systematic professional development strategy that links science standards and research to curriculum, instruction, and assessment. Developed by author Page Keeley of the Maine Mathematics and Science Alliance, the Curriculum Topic Study (CTS) process can help teachers align curriculum, instruction, and assessment with specific, research-based ideas and skills. The CTS process will help teachers: - Improve their understanding of science content - Clarify a hierarchy of content and skills in a learning goal from state or local standards - Define formative and summative assessment goals and strategies - Learn to recognize and address learning difficulties - Increase opportunities for students of all backgrounds to achieve science literacy - Design or utilize instructional materials effectively Containing 147 separate curriculum topic study guides arranged in eleven categories that represent the major domains of science, this book provides the tools to both positively impact student learning and develop the knowledge and skills that distinguish expert science teachers from novices.

Improving Indicators of the Quality of Science and Mathematics Education in Grades K-12

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Publisher : National Academies Press
ISBN 13 : 0309037409
Total Pages : 231 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Improving Indicators of the Quality of Science and Mathematics Education in Grades K-12 by : National Research Council

Download or read book Improving Indicators of the Quality of Science and Mathematics Education in Grades K-12 written by National Research Council and published by National Academies Press. This book was released on 1988-02-01 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a carefully developed monitoring system to track the progress of mathematics and science education, particularly the effects of ongoing efforts to improve students' scientific knowledge and mathematics competency. It describes an improved series of indicators to assess student learning, curriculum quality, teaching effectiveness, student behavior, and financial and leadership support for mathematics and science education. Of special interest is a critical review of current testing methods and their use in probing higher-order skills and evaluating educational quality.

Attracting Science and Mathematics Ph.D.s to Secondary School Education

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Publisher : National Academies Press
ISBN 13 : 0309183588
Total Pages : 176 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Attracting Science and Mathematics Ph.D.s to Secondary School Education by : Center for Education

Download or read book Attracting Science and Mathematics Ph.D.s to Secondary School Education written by Center for Education and published by National Academies Press. This book was released on 2000-08-16 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The National Research Council conducted a study to identify a set of incentives that state governments and local school districts can use to attract Ph.D. scientists and mathematicians to secondary school teaching positions. This project investigated the career ambitions of Ph.D.s in the physical and life sciences through focus groups and a national survey to determine the kinds of work conditions and compensation packages that would induce them to take positions teaching physics, chemistry, biology, and various electives in public high schools or positions developing secondary school science and mathematics curricula. The study conducted interviews with Ph.D.s who are already teaching in secondary schools to ascertain information from their experiences, with local school district administrators to assess what they are realistically willing to offer Ph.D. scientists to attract them, and with higher education administrators to explore programmatic changes they would need to institute to provide Ph.D.s with skills tailored to secondary school teaching. These investigations led to this report which describes the incentives local school districts could use in establishing pilot programs in this area.

Understanding by Design

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Publisher : ASCD
ISBN 13 : 1416600353
Total Pages : 383 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Understanding by Design by : Grant P. Wiggins

Download or read book Understanding by Design written by Grant P. Wiggins and published by ASCD. This book was released on 2005 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is understanding and how does it differ from knowledge? How can we determine the big ideas worth understanding? Why is understanding an important teaching goal, and how do we know when students have attained it? How can we create a rigorous and engaging curriculum that focuses on understanding and leads to improved student performance in today's high-stakes, standards-based environment? Authors Grant Wiggins and Jay McTighe answer these and many other questions in this second edition of Understanding by Design. Drawing on feedback from thousands of educators around the world who have used the UbD framework since its introduction in 1998, the authors have greatly revised and expanded their original work to guide educators across the K-16 spectrum in the design of curriculum, assessment, and instruction. With an improved UbD Template at its core, the book explains the rationale of backward design and explores in greater depth the meaning of such key ideas as essential questions and transfer tasks. Readers will learn why the familiar coverage- and activity-based approaches to curriculum design fall short, and how a focus on the six facets of understanding can enrich student learning. With an expanded array of practical strategies, tools, and examples from all subject areas, the book demonstrates how the research-based principles of Understanding by Design apply to district frameworks as well as to individual units of curriculum. Combining provocative ideas, thoughtful analysis, and tested approaches, this new edition of Understanding by Design offers teacher-designers a clear path to the creation of curriculum that ensures better learning and a more stimulating experience for students and teachers alike.

Guide to Implementing the Next Generation Science Standards

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Publisher : National Academies Press
ISBN 13 : 0309305152
Total Pages : 114 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Guide to Implementing the Next Generation Science Standards by : National Research Council

Download or read book Guide to Implementing the Next Generation Science Standards written by National Research Council and published by National Academies Press. This book was released on 2015-03-27 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Framework for K-12 Science Education and Next Generation Science Standards (NGSS) describe a new vision for science learning and teaching that is catalyzing improvements in science classrooms across the United States. Achieving this new vision will require time, resources, and ongoing commitment from state, district, and school leaders, as well as classroom teachers. Successful implementation of the NGSS will ensure that all K-12 students have high-quality opportunities to learn science. Guide to Implementing the Next Generation Science Standards provides guidance to district and school leaders and teachers charged with developing a plan and implementing the NGSS as they change their curriculum, instruction, professional learning, policies, and assessment to align with the new standards. For each of these elements, this report lays out recommendations for action around key issues and cautions about potential pitfalls. Coordinating changes in these aspects of the education system is challenging. As a foundation for that process, Guide to Implementing the Next Generation Science Standards identifies some overarching principles that should guide the planning and implementation process. The new standards present a vision of science and engineering learning designed to bring these subjects alive for all students, emphasizing the satisfaction of pursuing compelling questions and the joy of discovery and invention. Achieving this vision in all science classrooms will be a major undertaking and will require changes to many aspects of science education. Guide to Implementing the Next Generation Science Standards will be a valuable resource for states, districts, and schools charged with planning and implementing changes, to help them achieve the goal of teaching science for the 21st century.

A Framework for K-12 Science Education

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Publisher : National Academies Press
ISBN 13 : 0309214459
Total Pages : 400 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis A Framework for K-12 Science Education by : National Research Council

Download or read book A Framework for K-12 Science Education written by National Research Council and published by National Academies Press. This book was released on 2012-02-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments.

Designing Professional Development for Teachers of Science and Mathematics

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Author :
Publisher :
ISBN 13 : 9781452219103
Total Pages : 405 pages
Book Rating : 4.2/5 (191 download)

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Book Synopsis Designing Professional Development for Teachers of Science and Mathematics by :

Download or read book Designing Professional Development for Teachers of Science and Mathematics written by and published by . This book was released on 2010 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This expanded edition of one of the most widely cited resources in the field of professional learning for mathematics and science educators demonstrates how to design professional development for teachers that is directly linked to improving student learning. Presenting an updated professional development (PD) planning framework, the third edition of the bestseller incorporates current research on PD design, underscores how beliefs and local factors can influence design, illustrates a wide range of PD strategies, and emphasizes the importance of continuous program monitoring, combining strategies to address diverse needs, and building cultures that sustain learning."--Back cover.

Amplifying the Curriculum

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Publisher : Teachers College Press
ISBN 13 : 0807776858
Total Pages : 257 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Amplifying the Curriculum by : Aída Walqui

Download or read book Amplifying the Curriculum written by Aída Walqui and published by Teachers College Press. This book was released on 2019 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an ambitious model for how educators can design high-quality, challenging, and supportive learning opportunities for English Learners and other students identified to be in need of language and literacy support. Starting with the premise that conceptual, analytic, and language practices develop simultaneously as students engage in disciplinary learning, the authors argue for instruction that amplifies—rather than simplifies—expectations, concepts, texts, and learning tasks. The authors offer clear guidance for designing lessons and units and provide examples that demonstrate the approach in various subject areas, including math, science, English, and social studies. This practical resource will guide teachers through the coherent design of tasks, lessons, and units of study that invite English Learners (and all students) to engage in productive, meaningful, and intellectually engaging activity. “This book offers the most detailed guide available for designing instruction for students categorized as ELLs. Theoretically grounded and informed by years of implementation and study, this work is without equal in the field. I recommend the book enthusiastically as required reading in all teacher preparation programs.” —Guadalupe Valdés, Bonnie Katz Tenenbaum Professor of Education, Stanford Graduate School of Education “Reflecting its title, this book is an amplification of what it means to provide the best learning opportunities for English Language learners. Drawing on classroom-based research, Amplifying the Curriculum offers many practical examples of intellectually engaging units and tasks. This innovative book belongs on the bookshelves of all teachers.” —Pauline Gibbons, UNSW Sydney “This timely book is a call to educators across the nation to integrate language, literacy, and disciplinary knowledge to improve the education of our new American students.” —Tatyana Kleyn, The City College of New York

Science Curriculum Topic Study

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Author :
Publisher : Corwin
ISBN 13 : 1071800051
Total Pages : 353 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Science Curriculum Topic Study by : Page Keeley

Download or read book Science Curriculum Topic Study written by Page Keeley and published by Corwin. This book was released on 2019-10-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making scientific literacy happen within the new vision of science teaching and learning. Engage students in using and applying disciplinary content, scientific and engineering practices, and crosscutting concepts within curricular topics, and they will develop a scientifically-based and coherent view of the natural and designed world. The latest edition of this best-seller will help you make the shifts needed to reflect current practices in curriculum, instruction, and assessment. The book includes: • An increased emphasis on STEM • 103 separate curriculum topic study guides • Connections to content knowledge, curricular and instructional implications, concepts and specific ideas, research on student learning, K-12 articulation, and assessment