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"This book makes the five practices accessible for high school
mathematics teachers. Teachers will see themselves and their
classrooms throughout the book. High school mathematics departments
and teams can use this book as a framework for engaging
professional collaboration. I am particularly excited that this
book situates the five practices as ambitious and equitable
practices." Robert Q. Berry, III NCTM President 2018-2020 Samuel
Braley Gray Professor of Mathematics Education, University of
Virginia Take a deeper dive into understanding the five
practices-anticipating, monitoring, selecting, sequencing, and
connecting-for facilitating productive mathematical conversations
in your high school classrooms and learn to apply them with
confidence. This follow-up to the modern classic, 5 Practices for
Orchestrating Productive Mathematics Discussions, shows the five
practices in action in high school 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 high school 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,
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.
The same five practices teachers know and love for planning and
managing powerful conversations in mathematics classrooms, updated
with current research and new insights on anticipating, lesson
planning, and lessons learned from teachers, coaches, and school
leaders. This framework for orchestrating mathematically productive
discussions is rooted in student thinking to launch meaningful
discussions in which important mathematical ideas are brought to
the surface, contradictions are exposed, and understandings are
developed or consolidated. Learn the 5 practices for facilitating
effective inquiry-oriented classrooms: Anticipating what students
will do and what strategies they will use in solving a problem
Monitoring their work as they approach the problem in class
Selecting students whose strategies are worth discussing in class
Sequencing those students' presentations to maximize their
potential to increase students' learning Connecting the strategies
and ideas in a way that helps students understand the mathematics
learned
Take a deep dive into the five practices for facilitating
productive mathematical discussions Take a deeper dive into
understanding the five practices-anticipating, monitoring,
selecting, sequencing, and connecting-for facilitating productive
mathematical conversations in your middle school 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 middle school
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 middle school 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. "This books takes 5 Practices for Orchestrating
Productive Mathematics Discussions to the next level as readers
experience what these practices look like in real mathematics
classrooms in middle school. The authors specifically address the
challenges one might face in implementing the classrooms by
providing recommendations and concrete examples to avoid these
challenges. This book is a must read for teachers who want to
amplify their classroom implementation of the five practices."
Cathy Martin, Executive Director of Curriculum & Instruction
Denver Public Schools
"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.
All On-Your-Feet Guide orders receive FREE SHIPPING! Use code
SHIPOYFG at check out. This bundle includes The Five Practices in
Practice, Elementary and the new On-Your-Feet Guide to
Orchestrating Mathematical Discussions. Combined, this package
becomes your go-to resource for content study and easy in-class
implementation of The Five Practices in your elementary classroom.
The Five Practices in Practice, Middle School 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-inopportunities 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
ownclassroom 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. The On-Your-Feet Guide to Orchestrating Mathematical
Discussions This On-Your-Feet-Guide provides: * Key questions,
tools, and challenges for each practice to consider as you plan and
carry out your mathematics lesson * Special considerations and
helpful hints to think about as you troubleshoot your lessons and
assess your implementation of the practices * A focus on supporting
equity and identity Brief videos with additional commentary from
authors and teachers about each of the five practices 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 the 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
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
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