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Book Mathematics and Democracy

    Book Details:
  • Author : Steven J. Brams
  • Publisher : Princeton University Press
  • Release : 2009-12-02
  • ISBN : 1400835593
  • Pages : 390 pages

Download or read book Mathematics and Democracy written by Steven J. Brams and published by Princeton University Press. This book was released on 2009-12-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.

Book Mathematics Learning in Early Childhood

Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Book Designing Mathematics or Science Curriculum Programs

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.

Book Research Methods in Learning Design and Technology

Download or read book Research Methods in Learning Design and Technology written by Enilda Romero-Hall and published by Routledge. This book was released on 2020-10-19 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research Methods in Learning Design and Technology explores the many forms, both new and established, that research takes within the field of instructional design and technology (IDT). Chapters by experienced IDT researchers address methodologies such as meta-analysis, social media research, user experience design research, eye-tracking research, and phenomenology, situating each approach within the broader context of how IDT research has evolved and continues to evolve over time. This comprehensive, up-to-date volume familiarizes graduate students, faculty, and instructional design practitioners with the full spectrum of approaches available for investigating the new and changing educational landscapes. The book also discusses the history and prospective future of research methodologies in the IDT field.

Book Thinking Physics for Teaching

Download or read book Thinking Physics for Teaching written by C. Bernardini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research in Physics Education has to do with the search of solutions to the complex problem of how to improve the learning and teaching of physics. The complexity of the problem lies in the different fields of knowledge that need to be considered in the research. In fact, besides the disciplinary knowledge in physics (which must be considered from the conceptual, the historical, and the epistemological framework), one has to take into account some basic knowledge in the context of psychology and the cognitive sciences (for the general and contextual aspects of learning) and some basic knowledge in education and comunication (for what concerns teaching skills and strategies). Looking back at the historical development of the research one may recognize that the complexity of the endeavour was not clear at first but became clear in its development, which shifted the focus of the research in the course of time from physics to learning to teaching. We may say that the research started, more than 30 years ago, with a focus on disciplinary knowledge. Physicists in different parts of the western world, after research work in some field of physics, decided to concentrate on the didactical comunication of physical knowledge.

Book Faster Isn t Smarter

Download or read book Faster Isn t Smarter written by Cathy L. Seeley and published by Math Solutions. This book was released on 2009 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nctm Past President Cathy L. Seeley shares her messages on today's most relevant topics and issues in education. Based on Cathy L. Seeley's award-winning nctm President's Messages, and including dozens of new messages, this must-have k-12 resource offers straight talk and common sense about some of today's most important, thought-provoking issues in education. With topics ranging from the impact of rising expectations and the trap of timed tests to the role of technology and the phenomenon of jumping on bandwagons, this book provides a base for lively discussion among elementary, middle, and high school teachers; leaders; policy makers; and families. This book contains 41 messages included in three sections: (1) School Mathematics for the 21st Century: Elementary and Secondary Mathematics in America; (2) Great Ideas Whose Time Has Come (and Gone?): Mathematics Issues Facing Schools and Districts; and (3) Real Students and Real Teachers: Mathematics in Today's Classroom. This book also contains the following: (1) Foreword by Marilyn Burns; (2) Introduction; (3) How to Use This Book; (4) Afterword: The Sum of the Parts Is Greater than Some of the Parts; (5) Acknowledgments; (6) Readings and References; (7) Index; and (8) About the Author.

Book Teaching by Design in Elementary Mathematics  Grades K   1

Download or read book Teaching by Design in Elementary Mathematics Grades K 1 written by Jennifer Stepanek and published by Corwin Press. This book was released on 2010-11-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen your mathematics lessons through collaborative planning Teaching by Design in Elementary Mathematics is a series of comprehensive professional development guides that help teachers investigate how students learn. Grounded in the latest research, this book is one of three volumes focused on grade-appropriate number and operations topics aligned with the Common Core State Standards. The capstone activity of each book guides the group through the co-creation and implementation of a prototype lesson. The teacher teams then evaluate the impact of the lesson on student learning and work together to revise it for maximum effectiveness. Through the process, teachers develop: Deeper content knowledge of important mathematical concepts Improved understanding of how students learn these mathematical ideas A stronger foundation for developing effective lessons and improving instruction Enhanced collaboration skills Each volume includes a large assortment of reproducible handouts as well as built-in facilitation notes. Teachers will also find helpful resources that address the issue of finding time for school-based professional development and teacher collaboration.

Book Design in Five

    Book Details:
  • Author : Nicole Dimich
  • Publisher : Solution Tree Press
  • Release : 2014-09-11
  • ISBN : 1936764962
  • Pages : 230 pages

Download or read book Design in Five written by Nicole Dimich and published by Solution Tree Press. This book was released on 2014-09-11 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully engage learners in your classroom. Discover how to create high-quality assessments using a five-phase design protocol. Explore types and traits of quality assessment, and learn how to develop assessments that are innovative, effective, and engaging. Evaluate whether your current assessments meet the design criteria, and discover how to use this process collaboratively with your team.

Book Why Nobody Believes the Numbers

Download or read book Why Nobody Believes the Numbers written by Al Lewis and published by John Wiley & Sons. This book was released on 2012-06-11 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why Nobody Believes the Numbers introduces a unique viewpoint to population health outcomes measurement: Results/ROIs should be presented as they are, not as we wish they would be. This viewpoint contrasts sharply with vendor/promoter/consultant claims along two very important dimensions: (1) Why Nobody Believes presents outcomes/ROIs achievable right here on this very planet... (2) ...calculated using actual data rather than controlled substances. Indeed, nowhere in healthcare is it possible to find such sharply contrasting worldviews, methodologies, and grips on reality. Why Nobody Believes the Numbers includes 12 case studies of vendors, carriers, and consultants who were apparently playing hooky the day their teacher covered fifth-grade math, as told by an author whose argument style can be so persuasive that he was once able to convince a resort to sell him a timeshare. The book's lesson: no need to believe what your vendor tells you -- instead you can estimate your own savings using “ingredients you already have in your kitchen.” Don't be intimidated just because you lack a PhD in biostatistics, or even a Masters, Bachelor's, high-school equivalency diploma or up-to-date inspection sticker. Why Nobody Believes the Numbers explains how to determine if the ROIs are real...and why they usually aren't. You'll learn how to: Figure out whether you are "moving the needle" or just crediting a program with changes that would have happened anyway Judge whether the ROIs your vendors report are plausible or even arithmetically possible Synthesize all these insights into RFPs and contracts that truly hold vendors accountable for results

Book DIY Project Based Learning for Math and Science

Download or read book DIY Project Based Learning for Math and Science written by Heather Wolpert-Gawron and published by Routledge. This book was released on 2016-02-05 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you interested in using Project Based Learning to revamp your lessons, but aren’t sure how to get started? In DIY Project Based Learning for Math and Science, award-winning teacher and Edutopia blogger Heather Wolpert-Gawron makes it fun and easy! Project Based Learning encourages students and teachers alike to abandon their dusty textbooks, and instead embrace a form of curriculum design focused on student engagement, innovation, and creative problem-solving. A leading name in this field, Heather Wolpert-Gawron shares some of her most popular units for Math and Science in this exciting new collection. This book is an essential resource for teachers looking to: Create their own project-based learning units. Engage student in their education by grounding lessons in real-world problems and encouraging them to develop creative solutions. Incorporate role-playing into everyday learning. Develop real-world lessons to get students to understand the life-long relevance of what they are learning. Assess multiple skills and subject areas in an integrated way. Collaborate with teachers across subject areas. Test authentic skills and set authentic goals for their students to grow as individuals. Part I of the book features five full units, complete with student samples, targeted rubrics, a checklist to keep students on track, and even "Homework Hints." Part II is a mix-and-match section of tools you can use to create your own PBL-aligned lessons. The tools are available as eResources on our website, www.routledge.com/9781138891609, so you can print and use them in your classroom immediately.

Book Mathematics Framework for California Public Schools

Download or read book Mathematics Framework for California Public Schools written by California. Curriculum Development and Supplemental Materials Commission and published by . This book was released on 1999 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Teaching by Design in Elementary Mathematics  Grades 2   3

Download or read book Teaching by Design in Elementary Mathematics Grades 2 3 written by Jennifer Stepanek and published by Corwin Press. This book was released on 2010-11-19 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen your mathematics lessons through collaborative planning Teaching by Design in Elementary Mathematics is a series of comprehensive professional development guides that help teachers investigate how students learn. Grounded in the latest research, this book is one of three volumes focused on grade-appropriate number and operations topics aligned with the Common Core State Standards. The capstone activity of each book guides the group through the co-creation and implementation of a prototype lesson. The teacher teams then evaluate the impact of the lesson on student learning and work together to revise it for maximum effectiveness. Through the process, teachers develop: Deeper content knowledge of important mathematical concepts Improved understanding of how students learn these mathematical ideas A stronger foundation for developing effective lessons and improving instruction Enhanced collaboration skills Each volume includes a large assortment of reproducible handouts as well as built-in facilitation notes. Teachers will also find helpful resources that address the issue of finding time for school-based professional development and teacher collaboration.

Book Perspectives on Mathematical Practices

Download or read book Perspectives on Mathematical Practices written by Bart van Kerkhove and published by Springer Science & Business Media. This book was released on 2007-06-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.

Book Mathematical Proficiency for All Students  Toward a Strategic Research and Development Program in Mathematics Education

Download or read book Mathematical Proficiency for All Students Toward a Strategic Research and Development Program in Mathematics Education written by Deborah Loewenberg and published by Rand Corporation. This book was released on 2003-04-15 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear need exists for substantial improvement in mathematics proficiency in U.S. schools. The RAND Mathematics Study Panel was convened to inform the U.S. Department of Education's Office of Educational Research and Improvement on ways to improve the quality and usability of education research and development (R&D). The panel identified three areas for focused R&D: development of teachers' mathematical knowledge used in teaching; teaching and learning of skills needed for mathematical thinking and problem-solving; and teaching and learning of algebra from kindergarten through the 12th grade.

Book Helping Children Learn Mathematics

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Teaching by Design in Elementary Mathematics  Grades 4   5

Download or read book Teaching by Design in Elementary Mathematics Grades 4 5 written by Melinda Leong and published by Corwin Press. This book was released on 2010-12-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen your mathematics lessons through collaborative planning Teaching by Design in Elementary Mathematics is a series of comprehensive professional development guides that help teachers investigate how students learn. Grounded in the latest research, this book is one of three volumes focused on grade-appropriate number and operations topics aligned with the Common Core State Standards. The capstone activity of each book guides the group through the co-creation and implementation of a prototype lesson. The teacher teams then evaluate the impact of the lesson on student learning and work together to revise it for maximum effectiveness. Through the process, teachers develop: Deeper content knowledge of important mathematical concepts Improved understanding of how students learn these mathematical ideas A stronger foundation for developing effective lessons and improving instruction Enhanced collaboration skills Each volume includes a large assortment of reproducible handouts as well as built-in facilitation notes. Teachers will also find helpful resources that address the issue of finding time for school-based professional development and teacher collaboration.

Book Designing Mathematics or Science Curriculum Programs

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 1999-11-15 with total page 70 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.