Search results for: principles-to-actions

Principles to Actions

Author : National Council of Teachers of Mathematics
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This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Principles to Actions

Author :
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This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Enhancing Your Practice with the Research Behind Principles to Actions

Author : Denise Mewborn
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This book summarizes and synthesizes the research behind each of the guiding principles and essential elements of Principles to Actions : Ensuring Mathematical Success for All, and offers examples of what the principles and elements might look like in classroom practice. It is intended to be used by preservice teachers, in-service teachers, instructional coaches, administrators, professional developers, and math teacher educators. --

The Five Practices in Practice Elementary

Author : Margaret (Peg) Smith
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"Neither a love of students nor a love of mathematics can sustain the work of math education on its own. We work with math students, a composite of their mathematical ideas and their identities as people. The five practices for orchestrating productive mathematical discussions, and these ideas for putting those practices into practice, offer the actions that can develop and sustain the belief that both math and students matter." From the Foreword by Dan Meyer, Chief Academic Officer, Desmos Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your elementary classrooms and learn to apply them with confidence. This follow-up to the modern classic, Five Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in Grades K-5 classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions. The chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through • Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion—before class begins • Video excerpts from real elementary classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students’ ideas, and successful approaches for selecting, sequencing, and connecting students’ ideas during instruction • "Pause and Consider" prompts that help you reflect on an issue—and, in some cases, draw on your own classroom experience—prior to reading more about it • "Linking To Your Own Instruction" sections help you implement the five practices with confidence in your own instruction The book and companion website provide an array of resources including planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom.

We Reason We Prove for ALL Mathematics

Author : Fran Arbaugh
File Size : 86.74 MB
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Sharpen concrete teaching strategies that empower students to reason-and-prove What does reasoning-and-proving instruction look like and how can teachers support students’ capacity to reason-and-prove? Designed as a learning tool for mathematics teachers in grades 6-12, this book transcends all mathematical content areas with a variety of activities for teachers that include Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work Modifying curriculum materials and evaluating learning environments to better support students to reason-and-prove No other book tackles reasoning-and-proving with such breath, depth, and practical applicability.

Your Mathematics Standards Companion High School

Author : Frederick L. Dillon
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Transforming the standards into learning outcomes just got a lot easier This expansion of the popular Common Core Mathematics Companions provides a Cross-Referencing Index for states implementing their own specific mathematics standards. This index allows you to see in an instant which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to for standards-based teaching ideas. Beyond that? It’s the same great go-to guide for guide for teaching, planning, assessing, collaborating, and designing powerful high school mathematics curriculum, in any state or district.

On Your Feet Guide Modifying Mathematical Tasks

Author : Margaret (Peg) S Smith
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All On-Your-Feet Guide orders receive FREE SHIPPING! Use code SHIPOYFG at check out. Students learn what mathematics is and how one does it through their classroom instruction and the mathematical tasks they explore. Student learning is greatest when students have regular opportunities to engage with high-level or cognitively challenging tasks that engage students in thinking, reasoning, and problem solving and are essential to developing students' conceptual understanding of mathematics. How do you help students develop the capacity to think, reason, and problem solve, but your curricular resources don't have many high-level, cognitively demanding tasks? Learn to modify existing tasks for higher-level thinking! This On-Your-Feet-Guide provides: - 8 Key Strategies for modifying low-level procedural tasks and transforming them into high-level thinking tasks. - Examples across grades K-12 - Opportunities to practice modifying tasks and reflect on how the modified versions better meet students' learning needs - Helpful hints to set your tasks up for ultimate success. On-Your-Feet Guides (OYFGs) provide you with the ultimate "cheat sheet" to implement effective change in your classroom while in the moment of teaching. Designed for accessibility, and providing step-by-step guidance, the OYFGs are written by experts who take research-based practices and make them doable for the busy teacher. Each On-Your-Feet Guide is laminated, 8.5"x11" tri-fold (6 pages), and 3-hole punched. Use On-Your-Feet Guides - When you know the "what" but need help with the "how" - As a quick reference to support a practice you learned in a PD workshop or book - To learn how to implement foundational practices - When you want to help your students learn a specific strategy, routine, or approach, but aren't sure how to do it yourself

The Common Core Mathematics Companion The Standards Decoded High School

Author : Frederick L. Dillon
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When it comes to math, standards-aligned is achievement-aligned… Since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical math ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. The authors lay out the pieces of an in-depth explanation, showing the mathematical progression of each conceptual category, how standards connect within and across domains, and what teachers and students should be doing every day to foster deep learning.

Elementary and Middle School Mathematics Access Card

Author : John A Van de Walle
File Size : 61.66 MB
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NOTE: Used books, rentals, and purchases made outside of PearsonIf purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase." ""This access code card provides access to the Enhanced Pearson eText."" "Help all Pre-K-8 learners make sense of math Written by leaders in the field, "Elementary and Middle School Mathematics" "Teaching Developmentally" helps teacher candidates develop a real understanding of the mathematics they will teach and the most effective methods of teaching Pre-K-8 math topics. This text reflects the Common Core State Standards and NCTM's "Principles to Actions, "as well as current research. Emphasis is placed on teaching math conceptually, in a problem-based, developmentally appropriate manner that supports the learning needs of all students. Pause and Reflect prompts and Activities engage pre-service teachers as they bolster their own knowledge of the math. Classroom videos and examples of real student work allow teacher candidates to "visualize" good mathematics instruction and assessment. An important reference to consult throughout a teaching career, this book helps teachers and their students experience the excitement that happens when math makes sense. The Enhanced Pearson eText features embedded video, assessments, and clickable Activity Sheets and Blackline Masters. Improve mastery and retention with the Enhanced Pearson eText* This access code card provides access to the new Enhanced Pearson eText, a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad(R) and Android(R) tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText for 40-65% less than a print bound book. *"The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads.""*The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7" or 10" tablet, or iPad iOS 5.0 or later."" "

The Five Practices in Practice High School

Author : Margaret (Peg) Smith
File Size : 43.67 MB
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Take a deep dive into the five practices for faciliting productive mathematical discussons Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your high school classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. · Video excerpts vividly illustrate the five practices in action in real high school classrooms · Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion · Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans, completed monitoring tools, and mathematical tasks.

Fundamental Principles of the Metaphysic of Morals

Author : Immanuel Kant
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Ancient Greek philosophy was divided into three sciences: physics, ethics, and logic. This division is perfectly suitable to the nature of the thing; and the only improvement that can be made in it is to add the principle on which it is based, so that we may both satisfy ourselves of its completeness, and also be able to determine correctly the necessary subdivisions. All rational knowledge is either material or formal: the former considers some object, the latter is concerned only with the form of the understanding and of the reason itself, and with the universal laws of thought in general without distinction of its objects. Formal philosophy is called logic. Material philosophy, however, has to do with determinate objects and the laws to which they are subject, is again twofold; for these laws are either laws of nature or of freedom. The science of the former is physics, that of the latter, ethics; they are also called natural philosophy and moral philosophy respectively.

From Principles to Practice

Author : Onora O'Neill
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Knowledge aims to fit the world, and action to change it. In this collection of essays, Onora O'Neill explores the relationship between these concepts and shows that principles are not enough for ethical thought or action: we also need to understand how practical judgement identifies ways of enacting them and of changing the way things are. Both ethical and technical judgement are supported, she contends, by bringing to bear multiple considerations, ranging from ethical principles to real-world constraints, and while we will never find practical algorithms - let alone ethical algorithms - that resolve moral and political issues, good practical judgement can bring abstract principles to bear in situations that call for action. Her essays thus challenge claims that all inquiry must use either the empirical methods of scientific inquiry or the interpretive methods of the humanities. They will appeal to a range of readers in moral and political philosophy.

The Next Step

Author : James Freemyer
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This book is written on the behalf of mathematics teachers who have been asked to teach more conceptually while simultaneously motivating more students of all ability levels to willingly embrace further upper level mathematics content and courses. This is a BIG ASK! Math teachers are being expected to overhaul their current teaching approach. Can teachers be expected to embrace this crusade alone, isolated in a classroom? Principals are charged with leading the way. They must provide the opportunities and resources necessary for effective teacher collaboration. After reading this book, a principal will comprehend the enormity of task each mathematics teachers faces and learn what must be done to help. School leaders will be able to design a growth plan based on a plethora of collaborative approaches. Mathematics teachers will experience the assistance they have desperately needed.

The Five Practices in Practice Elementary On Your Feet Guide to Orchestrating Mathematics Discussions The Five Practices in Practice

Author :
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Elementary and Middle School Mathematics Teaching Developmentally Enhanced Pearson Etext with Loose Leaf Version Access Card Package

Author : John A. Van de Walle
File Size : 52.7 MB
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NOTE: Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. This package includes the Enhanced Pearson eText and the loose-leaf version. Help all Pre-K-8 learners make sense of math Written by leaders in the field, Elementary and Middle School Mathematics:Teaching Developmentally helps teacher candidates develop a real understanding of the mathematics they will teach and the most effective methods of teaching Pre-K-8 math topics. This text reflects the Common Core State Standards and NCTM's Principles to Actions, as well as current research. Emphasis is placed on teaching math conceptually, in a problem-based, developmentally appropriate manner that supports the learning needs of all students. Pause and Reflect prompts and Activities engage pre-service teachers as they bolster their own knowledge of the math. Classroom videos and examples of real student work allow teacher candidates to visualize good mathematics instruction and assessment. An important reference to consult throughout a teaching career, this book helps teachers and their students experience the excitement that happens when math makes sense. The Enhanced Pearson eText features embedded video, assessments, and clickable Activity Sheets and Blackline Masters. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText along with all the benefits of print for 40% to 50% less than a print bound book. * The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7" or 10" tablet, or iPad iOS 5.0 or later. 0134046951 / 9780134046952 Elementary and Middle School Mathematics: Teaching Developmentally, Enhanced Pearson eText with Loose-Leaf Version -- Access Card Package Package consists of: 0133768937 / 9780133768930 Elementary and Middle School Mathematics: Teaching Developmentally, Loose-Leaf Version 0133999025 / 9780133999020 Elementary and Middle School Mathematics: Teaching Developmentally, Enhanced Pearson eText -- Access Card

Elementary and Middle School Mathematics

Author : John A. Van de Walle
File Size : 82.60 MB
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Guide teachers to help all PreK-8 learners make sense of mathematics. Elementary and Middle School Mathematics: Teaching Developmentally illustrates how children learn mathematics, and then shows pre-service teachers the most effective methods of teaching PreK-8 math through hands-on, problem-based activities. As teacher candidates engage with the activities, they boost their own knowledge of the math and learn concrete, developmentally appropriate ways to incorporate problem-based tasks in their classrooms. Examples of real student work and new common challenges and misconception tables allow readers to visualize good mathematics instruction and assessment that supports and challenges all learners. An important reference to consult throughout a teaching career, this book reflects the Common Core State Standards and NCTM’s Principles to Actions, as well as current research and coverage of the latest teaching technology. -- Provided by publisher.

Perfecting Human Actions

Author : John Michael Rziha
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During the last few centuries, a practical dichotomy between God and humans has developed within moral theory. As a result, moral theory tends to focus only on humans where human autonomy is foundational or only on God where divine commands capriciously rule. However, the moral theology of Thomas Aquinas overcomes this dichotomy. For Thomas, humans reach their perfection by participating in God's wisdom and love. Perfecting Human Actions explores the ways humans participate in eternal law--God's wisdom that guides and moves all things to their proper action. The book begins with a thoughtful examination of the philosophic recovery of the notion of participation in Thomistic metaphysics. It then explains Thomas's theological understanding of the notion of participation to show how humans are related to God. It is discovered that when performing human actions, humans participate in the eternal law in two ways: as moved and governed by it, and cognitively. In reference to participation as moved and governed, humans are directed by God to their proper end of eternal happiness. This mode of participation can be increased by perfecting the natural inclinations through virtue, grace, and the gifts of the Holy Spirit. In reference to cognitive participation, humans as rational creatures can know their proper end and how to attain it. Through this knowledge of moral truths, the intellect participates in the eternal law. Cognitive participation is perfected by the intellectual virtues (especially faith) and the gifts of the Holy Spirit (especially wisdom). The book concludes by showing how the notion of human participation in the eternal law is a much better foundation for moral theory than the contemporary notion of autonomy. ABOUT THE AUTHOR: John Rziha is associate professor of theology at Benedictine College. PRAISE FOR THE BOOK: "[A] competent and indeed masterful study. . . . Rziha's book is to be welcomed as not just an important, but indeed an overdue contribution to the contemporary recovery of Aquinas's moral theory. More importantly, this study is of surpassing importance in advancing the correct understanding of the relationship between human freedom and natural law. . . . Rziha's lucidly written and well-documented study displays all the characteristics of a competent and learned interpretation of the thought of the doctor communis according to the highest standards of current Aquinas scholarship."--Reinhard Hutter, Thomist "Rziha explores at length the two modes by which human participate in God's eternal law: as moved and governed by it and as having knowledge of it. . . . [T]his book proves to be something of a comprehensive course in Thomistic thought. This project is supported by extensive and meticulous footnote reverences to texts of Aquinas." --Janine Marie Idziak, Speculum

Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age

Author : Niess, Margaret
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The digital age provides ample opportunities for enhanced learning experiences for students; however, it can also present challenges for educators who must adapt to and implement new technologies in the classroom. The Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age is a critical reference source featuring the latest research on the development of educators’ knowledge for the integration of technologies to improve classroom instruction. Investigating emerging pedagogies for preservice and in-service teachers, this publication is ideal for professionals, researchers, and educational designers interested in the implementation of technology in the mathematics classroom.

Arguing with Numbers

Author : James Wynn
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As discrete fields of inquiry, rhetoric and mathematics have long been considered antithetical to each other. That is, if mathematics explains or describes the phenomena it studies with certainty, persuasion is not needed. This volume calls into question the view that mathematics is free of rhetoric. Through nine studies of the intersections between these two disciplines, Arguing with Numbers shows that mathematics is in fact deeply rhetorical. Using rhetoric as a lens to analyze mathematically based arguments in public policy, political and economic theory, and even literature, the essays in this volume reveal how mathematics influences the values and beliefs with which we assess the world and make decisions and how our worldviews influence the kinds of mathematical instruments we construct and accept. In addition, contributors examine how concepts of rhetoric—such as analogy and visuality—have been employed in mathematical and scientific reasoning, including in the theorems of mathematical physicists and the geometrical diagramming of natural scientists. Challenging academic orthodoxy, these scholars reject a math-equals-truth reduction in favor of a more constructivist theory of mathematics as dynamic, evolving, and powerfully persuasive. By bringing these disparate lines of inquiry into conversation with one another, Arguing with Numbers provides inspiration to students, established scholars, and anyone inside or outside rhetorical studies who might be interested in exploring the intersections between the two disciplines. In addition to the editors, the contributors to this volume are Catherine Chaput, Crystal Broch Colombini, Nathan Crick, Michael Dreher, Jeanne Fahnestock, Andrew C. Jones, Joseph Little, and Edward Schiappa.

Instructional Leadership in the Content Areas

Author : Jo Beth Jimerson
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Co-published with University Council for Educational Administration (UCEA), this textbook prepares aspiring educational leaders for the important and challenging task of supporting instruction in their schools. Instructional Leadership in the Content Areas equips leaders—who might not have content backgrounds that align with those of the teachers they supervise—with research-based practices and knowledge specific to a range of subject areas. Presenting over 20 problems-based cases at the elementary, middle, and high school levels and across seven areas of content, this book deepens knowledge of exemplary instruction, improves feedback dialogues, and helps leaders work effectively alongside teachers and instructional specialists. Rich with activities, resources, and discussion questions, this casebook provides a broad overview of instructional leadership and the tools for school leaders to improve and support classroom practices across all content areas in intentional ways that support career-long professional growth. Case facilitation notes are available here: www.routledge.com/9781138578845