Rough Draft Math

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Rough Draft Math

Amanda Jansen
Rough Draft Math Book PDF

Author : Amanda Jansen
Publisher : Taylor & Francis
Page : 224 pages
File Size : 43,7 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839125

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Rough Draft Math by Amanda Jansen Pdf

Talking and writing about unfinished ideas is vital to learning mathematics, but most students only speak up when they think they have the right answer - especially middle school and high school students. Amanda Jansen and her collaborating teachers have developed a breakthrough approach to address this challenge. Rough Draft Math: Revising to Learn, Jansen shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they problem-solve rather than talking only to perform right answers. Creating a Community of Learners: As part of the rough draft framework, a class of students becomes an equitable and inclusive community of thinkers, one where students feel safe to engage in discourse while developing mathematical competency and confidence Practical Application of Innovative Ideas: This book includes specific teaching techniques and a range of classroom vignettes showing rough draft math in action within a student-centered teaching approach. Children can develop solutions at their own pace and share thought processes behind their conclusions Classroom Tested: Jansen has developed the concept of rough draft math in collaboration with a diverse group of dynamic and reflective teachers. Rough Draft Math' provides a blueprint for educators to allow free-thinking discussion while maintaining the mathematical learning goalsRough Draft Math, Jansen shows how to create an energetic classroom culture where students readily participate and share their evolving understanding while engaging in math talk, collaborative problem solving, and ongoing revision of ideas. '

Building Thinking Classrooms in Mathematics, Grades K-12

Peter Liljedahl
Building Thinking Classrooms in Mathematics Grades K 12 Book PDF

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 52,9 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374840

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Rough Draft Math

Amanda Jansen
Rough Draft Math Book PDF

Author : Amanda Jansen
Publisher : Unknown
Page : 227 pages
File Size : 49,8 Mb
Release : 2020
Category : Classroom environment
ISBN : 9781625312068

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Rough Draft Math by Amanda Jansen Pdf

"Most upper-elementary, middle, and secondary students talk to perform right answers in math class, meaning most older students hardly talk at all in math class and don't learn much math because we talk to learn. In Rough Draft Math, Amanda Jansen shares the power of infusing math class with the spirit of revision. She shares the work she and teacher-collaborators have done to teach students how to share their rough ideas, knowing they can change them later"--

Joyful Math

Deanna Pecaski McLennan
Joyful Math Book PDF

Author : Deanna Pecaski McLennan
Publisher : Taylor & Francis
Page : 273 pages
File Size : 43,6 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003841630

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Joyful Math by Deanna Pecaski McLennan Pdf

If you've ever wished that learning math could be more joyful and playful for young learners, you're not alone. In Joyful Math: Invitations to Play and Explore in the Early Childhood Classroom, kindergarten teacher Deanna Pecaski McLennan opens her classroom doors to share the practical, yet innovative ways she integrates mathematical play throughout the school day. Each chapter of this easy-to-navigate, photo-filled book focuses on specific strategies, activities and examples of mathematical play within literacy, art, and outdoor explorations. Inside Joyful Mathyou'll find: A photo guide, including suggested tools and materials, to setting up a classroom environment and space that fosters mathematical curiosity and joy Dozens of open-ended and teacher-guided mathematical activities that are simple to set up and full of mathematical possibility Practical tips for including mathematical play across the day Suggestions and examples of ways to document and share children's learning experiences with families and communities Joyful Math will inspire educators to make space for joy and play in early childhood mathematics and give them the tools to make this vision a reality.

3D Math Primer for Graphics and Game Development, 2nd Edition

Fletcher Dunn,Ian Parberry
3D Math Primer for Graphics and Game Development 2nd Edition Book PDF

Author : Fletcher Dunn,Ian Parberry
Publisher : CRC Press
Page : 848 pages
File Size : 48,9 Mb
Release : 2011-11-02
Category : Computers
ISBN : 9781568817231

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3D Math Primer for Graphics and Game Development, 2nd Edition by Fletcher Dunn,Ian Parberry Pdf

This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

The Formative 5

Francis (Skip) Fennell,Beth McCord Kobett,Jonathan A. Wray
The Formative 5 Book PDF

Author : Francis (Skip) Fennell,Beth McCord Kobett,Jonathan A. Wray
Publisher : Corwin Press
Page : 200 pages
File Size : 49,7 Mb
Release : 2016-12-15
Category : Education
ISBN : 9781506375182

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The Formative 5 by Francis (Skip) Fennell,Beth McCord Kobett,Jonathan A. Wray Pdf

"This highly practical and readable book gets right down into the detail of what good formative assessment looks like in math classrooms, and shows how teachers can make this a part of their regular planning and instruction." —Dylan Wiliam, Emeritus Professor of Educational Assessment, University College Imagine how it would feel to not worry about how to plan, teach, and check for student mathematical understandings and related proficiencies. Imagine if this important process felt like a natural, every day, part of your lesson preparation instead of an extra thing to do. This must-have resource shows the way. NCTM Past President, Francis "Skip" Fennell, and nationally-recognized mathematics educators Beth McCord Kobett and Jonathan (Jon) Wray, offer five of the most impactful, proven assessment techniques—Observations, Interviews, "Show Me," Hinge Questions, and Exit Tasks— you can implement, every day. Tried and tested by teachers just like you, you’ll find that this palette of classroom-based techniques will truly assess learning and inform teaching. Research and classroom practice indicates that formative assessment is poorly understood. This book gives you a concise, research-based, classroom-dedicated plan with lots of tools, activities, classroom vignettes, and student work to guide your daily use of these techniques – The Formative 5. Both within and between lessons, K-8 teachers of mathematics will learn to Think and go beyond assessment of learning, focusing on assessment for learning Directly connect assessment to planning and teaching Engineer effective classroom questioning, discussions, and learning tasks Provide success criteria and feedback that moves students forward Integrate the Standards for Mathematical Practice Activate student self-assessors who take ownership of their learning Includes a book study guide, tools and templates, and a companion website with downloadables and multi-media examples of student discussion in the classroom. The Formative 5 will help you build your mathematics-related formative assessment capacity through daily use of these five key techniques, leading to regularly monitored and improved learning opportunities for your students. Now Available: The On-Your-Feet Guide to The Formative 5

What Is Mathematics, Really?

Reuben Hersh
What Is Mathematics Really Book PDF

Author : Reuben Hersh
Publisher : Oxford University Press
Page : 368 pages
File Size : 53,5 Mb
Release : 1997-08-21
Category : Mathematics
ISBN : 9780198027362

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What Is Mathematics, Really? by Reuben Hersh Pdf

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

Productive Math Struggle

John J. SanGiovanni,Susie Katt,Kevin J. Dykema
Productive Math Struggle Book PDF

Author : John J. SanGiovanni,Susie Katt,Kevin J. Dykema
Publisher : Corwin
Page : 217 pages
File Size : 41,6 Mb
Release : 2020-03-09
Category : Education
ISBN : 9781544369433

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Productive Math Struggle by John J. SanGiovanni,Susie Katt,Kevin J. Dykema Pdf

All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work

Why Rural Schools Matter

Mara Casey Tieken
Why Rural Schools Matter Book PDF

Author : Mara Casey Tieken
Publisher : UNC Press Books
Page : 247 pages
File Size : 46,6 Mb
Release : 2014
Category : Education
ISBN : 9781469618487

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Why Rural Schools Matter by Mara Casey Tieken Pdf

Why Rural Schools Matter

Becoming the Math Teacher You Wish You'd Had

Tracy Johnston Zager
Becoming the Math Teacher You Wish You d Had Book PDF

Author : Tracy Johnston Zager
Publisher : Taylor & Francis
Page : 393 pages
File Size : 43,5 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839514

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Becoming the Math Teacher You Wish You'd Had by Tracy Johnston Zager Pdf

Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

A Programmer's Introduction to Mathematics

Jeremy Kun
A Programmer s Introduction to Mathematics Book PDF

Author : Jeremy Kun
Publisher : Unknown
Page : 400 pages
File Size : 43,7 Mb
Release : 2020-05-17
Category : Electronic
ISBN : 9798625373425

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A Programmer's Introduction to Mathematics by Jeremy Kun Pdf

A Programmer's Introduction to Mathematics uses your familiarity with ideas from programming and software to teach mathematics. You'll learn about the central objects and theorems of mathematics, including graphs, calculus, linear algebra, eigenvalues, optimization, and more. You'll also be immersed in the often unspoken cultural attitudes of mathematics, learning both how to read and write proofs while understanding why mathematics is the way it is. Between each technical chapter is an essay describing a different aspect of mathematical culture, and discussions of the insights and meta-insights that constitute mathematical intuition. As you learn, we'll use new mathematical ideas to create wondrous programs, from cryptographic schemes to neural networks to hyperbolic tessellations. Each chapter also contains a set of exercises that have you actively explore mathematical topics on your own. In short, this book will teach you to engage with mathematics. A Programmer's Introduction to Mathematics is written by Jeremy Kun, who has been writing about math and programming for 10 years on his blog "Math Intersect Programming." As of 2020, he works in datacenter optimization at Google.The second edition includes revisions to most chapters, some reorganized content and rewritten proofs, and the addition of three appendices.

An Introduction to Mathematics

Alfred North Whitehead
An Introduction to Mathematics Book PDF

Author : Alfred North Whitehead
Publisher : Courier Dover Publications
Page : 176 pages
File Size : 49,8 Mb
Release : 2017-05-04
Category : Mathematics
ISBN : 9780486821382

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An Introduction to Mathematics by Alfred North Whitehead Pdf

Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.

The Art of Machine Learning

Norman Matloff
The Art of Machine Learning Book PDF

Author : Norman Matloff
Publisher : No Starch Press
Page : 271 pages
File Size : 41,7 Mb
Release : 2024-01-09
Category : Computers
ISBN : 9781718502109

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The Art of Machine Learning by Norman Matloff Pdf

Learn to expertly apply a range of machine learning methods to real data with this practical guide. Packed with real datasets and practical examples, The Art of Machine Learning will help you develop an intuitive understanding of how and why ML methods work, without the need for advanced math. As you work through the book, you’ll learn how to implement a range of powerful ML techniques, starting with the k-Nearest Neighbors (k-NN) method and random forests, and moving on to gradient boosting, support vector machines (SVMs), neural networks, and more. With the aid of real datasets, you’ll delve into regression models through the use of a bike-sharing dataset, explore decision trees by leveraging New York City taxi data, and dissect parametric methods with baseball player stats. You’ll also find expert tips for avoiding common problems, like handling “dirty” or unbalanced data, and how to troubleshoot pitfalls. You’ll also explore: How to deal with large datasets and techniques for dimension reduction Details on how the Bias-Variance Trade-off plays out in specific ML methods Models based on linear relationships, including ridge and LASSO regression Real-world image and text classification and how to handle time series data Machine learning is an art that requires careful tuning and tweaking. With The Art of Machine Learning as your guide, you’ll master the underlying principles of ML that will empower you to effectively use these models, rather than simply provide a few stock actions with limited practical use. Requirements: A basic understanding of graphs and charts and familiarity with the R programming language

First Steps in Mathematics

Sue Willis,Wendy Devlin,Lorraine Jacob
First Steps in Mathematics Book PDF

Author : Sue Willis,Wendy Devlin,Lorraine Jacob
Publisher : First Steps
Page : 128 pages
File Size : 50,8 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 0975998684

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First Steps in Mathematics by Sue Willis,Wendy Devlin,Lorraine Jacob Pdf

Provides teachers with a range of practical tools to improve the mathematical learning for all students

The Alloy of Law

Brandon Sanderson
The Alloy of Law Book PDF

Author : Brandon Sanderson
Publisher : Tor Books
Page : 420 pages
File Size : 45,6 Mb
Release : 2011-11-08
Category : Fiction
ISBN : 9781429994897

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The Alloy of Law by Brandon Sanderson Pdf

From #1 New York Times bestselling author Brandon Sanderson, the Mistborn series is a heist story of political intrigue and magical, martial-arts action. Three hundred years after the events of the Mistborn trilogy, Kelsier and Vin have passed into the realm of history and myth, and the world of Scadrial is on the verge of modernity. In the frontier lands known as the Roughs, the old magics are a crucial tool for those who establish order and justice. One such is Waxillium Ladrian, a rare Twinborn, who can Push on metals with his Allomancy and use Feruchemy to become lighter or heavier at will. After twenty years in the Roughs, tragedy has driven Wax back to the metropolis of Elendel. Now he must reluctantly put away his guns and assume the duties of the head of a noble house. But when a gang of Allomancers turn to train robbery and kidnapping, Wax will soon learn that the mansions and elegant tree-lined streets of the city can be more dangerous than the dusty plains of the Roughs. Other Tor books by Brandon Sanderson The Cosmere The Stormlight Archive The Way of Kings Words of Radiance Edgedancer (novella) Oathbringer Dawnshard (novella) Rhythm of War The Mistborn Saga The Original Trilogy Mistborn The Well of Ascension The Hero of Ages Wax and Wayne The Alloy of Law Shadows of Self The Bands of Mourning The Lost Metal Other Cosmere novels Elantris Warbreaker Tress of the Emerald Sea Yumi and the Nightmare Painter The Sunlit Man Collection Arcanum Unbounded: The Cosmere Collection The Alcatraz vs. the Evil Librarians series Alcatraz vs. the Evil Librarians The Scrivener's Bones The Knights of Crystallia The Shattered Lens The Dark Talent Bastille vs. the Evil Librarians (with Janci Patterson) Other novels The Rithmatist Legion: The Many Lives of Stephen Leeds The Frugal Wizard’s Handbook for Surviving Medieval England Other books by Brandon Sanderson The Reckoners Steelheart Firefight Calamity Skyward Skyward Starsight Cytonic Skyward Flight (with Janci Patterson) Defiant At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.