Mathematics at Work

Mathematics at Work PDF Author: Holbrook Lynedon Horton
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 750

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Book Description
The fourth edition retains the original purpose which has made this book such a large success through every one of its previous editions: to effectively help its readers solve a wide array of mathematical problems specifically related to mechanical work. Aside from its unique compilation of mathematical problems, this book is renowned for its ability to duplicate, as far as possible, personal instruction. Its usefulness as a self-learning guide for the mathematics of mechanical problems is therefore unexcelled. Distinctive Features -The entire text has been carefully reviewed and edited where necessary for greater clarity and accuracy. -Includes new problem materials. -At the request of many users, it now includes trigonometric and common logarithm tables.

Mathematics at Work

Mathematics at Work PDF Author: Holbrook Lynedon Horton
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 750

Get Book Here

Book Description
The fourth edition retains the original purpose which has made this book such a large success through every one of its previous editions: to effectively help its readers solve a wide array of mathematical problems specifically related to mechanical work. Aside from its unique compilation of mathematical problems, this book is renowned for its ability to duplicate, as far as possible, personal instruction. Its usefulness as a self-learning guide for the mathematics of mechanical problems is therefore unexcelled. Distinctive Features -The entire text has been carefully reviewed and edited where necessary for greater clarity and accuracy. -Includes new problem materials. -At the request of many users, it now includes trigonometric and common logarithm tables.

Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12 PDF Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362958
Category : Education
Languages : en
Pages : 208

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Book Description
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Mathematics Instruction and Tasks in a PLC at Work

Mathematics Instruction and Tasks in a PLC at Work PDF Author: Timothy D. Kanold
Publisher:
ISBN: 9781958590669
Category : Mathematics
Languages : en
Pages : 0

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Book Description
"Mathematics Instruction and Tasks in a PLC at Work®, Second Edition by Mona Toncheff, Timothy D. Kanold, Sarah Schuhl, Bill Barnes, Jennifer Deinhart, Jessica Kanold-McIntyre, and Matthew R. Larson provides guidance for K-12 teachers to reflect on current lesson-design practices, compare those practices against high-quality standards of mathematics lesson design, and develop and use effective lessons that engage students within the mathematics classroom. Part of the Every Student Can Learn Mathematics series, it offers a comprehensive professional learning community (PLC) approach to sustaining deep change in mathematics achievement. The PLC at Work process is one of the best models that schools or districts can use to build a more equitable learning experience for students. Using the four critical questions of a PLC, teams will provide every mathematics student with common learning experiences, opportunities for sustained perseverance, and robust formative feedback. In this second edition, teachers will access new and updated tools to maximize their lesson-planning strategies in mathematics within the PLC framework"--

Mathematics Teachers at Work

Mathematics Teachers at Work PDF Author: Janine T. Remillard
Publisher: Routledge
ISBN: 1135855625
Category : Education
Languages : en
Pages : 499

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Book Description
This book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.

Categories for the Working Mathematician

Categories for the Working Mathematician PDF Author: Saunders Mac Lane
Publisher: Springer Science & Business Media
ISBN: 1475747217
Category : Mathematics
Languages : en
Pages : 320

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Book Description
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

Education for Mathematics in the Workplace

Education for Mathematics in the Workplace PDF Author: A. Bessot
Publisher: Springer Science & Business Media
ISBN: 0306472260
Category : Education
Languages : en
Pages : 278

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Book Description
This timely volume raises issues concerning the nature of school mathematics and mathematics at work, and the challenges of teaching valuable mathematics in school and providing appropriate training for a variety of careers. It offers lively commentaries on important `hot' topics: transferring knowledge and skill across contexts; ‘authentic mathematics’; comparability of different types of assessment; and analyses of research methods.

Professional Learning Communities at Work

Professional Learning Communities at Work PDF Author: Richard DuFour
Publisher: Solution Tree
ISBN: 9781879639607
Category : Education
Languages : en
Pages : 0

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Book Description
Provides specific information on how to transform schools into results-oriented professional learning communities, describing the best practices that have been used by schools nationwide.

A Journey in Mathematics Education Research

A Journey in Mathematics Education Research PDF Author: Erna Yackel
Publisher: Springer Science & Business Media
ISBN: 9048197295
Category : Education
Languages : en
Pages : 255

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Book Description
Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.

Writing to Learn Mathematics

Writing to Learn Mathematics PDF Author: Joan Countryman
Publisher: Heinemann Educational Books
ISBN:
Category : Education
Languages : en
Pages : 116

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Book Description
Explains how writing can be integrated into primary and secondary mathematics, and suggests topics and methods, including journals, learning logs, and letters.

Mathematics Coaching and Collaboration in a PLC at Work(tm)

Mathematics Coaching and Collaboration in a PLC at Work(tm) PDF Author: Timothy D. Kanold
Publisher: Every Student Can Learn Mathem
ISBN: 9781943874347
Category : Education
Languages : en
Pages : 0

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Book Description
Part of the Every Student Can Learn Mathematics series Build a mathematics teaching community that promotes learning for K-12 educators and students. This user-friendly resource is divided into two parts, each covering actionable team strategies in teaching mathematics in a PLC at Work(TM). First you'll discover how to coach highly effective mathematics teams within your professional learning community. Then you'll learn how to utilize collaboration and lesson-design elements within your math curriculum for teacher team reflection, assessment data analysis, and action. Learn to lead math teacher teams and foster effective collaborative teaching strategies: Build a collaborative math learning culture that engages and promotes learning for students and staff members. Optimize coaching and foster equity and belonging, to encourage collaboration on instruction and math assessment. Engage in mathematics lesson study, to help teams learn from one another and reflect on effective strategies in teaching mathematics. Develop norms, SMART goals for teachers, agendas, and a plan for working effectively as a collaborative team in a PLC at Work(TM). Address all parts of your math curriculum, from math instruction to math interventions. Contents: Preface Introduction Part 1: Develop PLC Structures for Effective Teacher Team Engagement, Transparency, and Action Chapter 1: Five Inspirational PLC Leadership Practices Chapter 2: Five Leadership Strategies for Effective Collaboration in Mathematics Part 2: Use Common Assessments and Lesson-Design Elements for Teacher Team Reflection, Data Analysis, and Subsequent Action Chapter 3: How to Create and Nurture a Culture of Change, Growth, Reflection, and Improvement in Your Mathematics Program Chapter 4: How to Lead a Culture of Transparency and Learning with Mathematics Assessments Chapter 5: How to Lead in a Culture of Transparency and Learning with Mathematics Instruction Chapter 6: How to Lead a Culture of Collective Responsibility Epilogue Appendix A References and Resources Books in the Every Student Can Learn Mathematics series: Mathematics Assessment and Intervention in a PLC at Work(TM) Mathematics Instruction and Tasks in a PLC at Work(TM) Mathematics Homework and Grading in a PLC at Work(TM) Mathematics Coaching and Collaboration in a PLC at Work(TM)