5 Principles of the Modern Mathematics Classroom

5 Principles of the Modern Mathematics Classroom

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  • Author: Gerald Aungst
  • Publisher:
  • ISBN: 9781483394817
  • Category :
  • Languages : en
  • Pages : 172

Students pursue problems they're curious about, not problems they're told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to- Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems- Put each chapter's principles into practice through a variety of strategies, activities, and by incorporating technology tools- Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces.


5 Principles of the Modern Mathematics Classroom

5 Principles of the Modern Mathematics Classroom

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  • Author: Gerald Aungst
  • Publisher: Corwin Press
  • ISBN: 1506322999
  • Category : Education
  • Languages : en
  • Pages : 141

Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces


The Five Practices in Practice [Elementary]

The Five Practices in Practice [Elementary]

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  • Author: Margaret (Peg) Smith
  • Publisher: Corwin Press
  • ISBN: 1544321147
  • Category : Education
  • Languages : en
  • Pages : 241

Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary 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 elementary 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 and completed monitoring tools, and mathematical tasks.


Principles to Actions

Principles to Actions

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  • Author: National Council of Teachers of Mathematics
  • Publisher: National Council of Teachers of Mathematics, Incorporated
  • ISBN: 9780873537742
  • Category : Curriculum planning
  • Languages : en
  • Pages : 139

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 of Mathematics

Principles of Mathematics

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  • Author: Bertrand Russell
  • Publisher:
  • ISBN: 0415487412
  • Category : Mathematics
  • Languages : en
  • Pages : 552

Mathematics.


Redesigning Learning Spaces

Redesigning Learning Spaces

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  • Author: Robert Dillon
  • Publisher: Corwin Press
  • ISBN: 1506318339
  • Category : Education
  • Languages : en
  • Pages : 58

Bring hope, joy, and positive energy back into the daily work of the classroom. In this book, learn to design brain-friendly learning environments that foster engagement, productivity, and achievement while allowing for seamless integration of educational technology. Discover how flexible, welcoming, and comfortable learning spaces can prepare students for the future. In this book you’ll: Find resources for redesigning spaces on a sustainable budget Support technology integration through blended and virtual learning Hear from teachers and schools whose successfully transformed spaces have increased student achievement


Principles and Standards for School Mathematics

Principles and Standards for School Mathematics

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  • Author:
  • Publisher:
  • ISBN: 9780873534840
  • Category : Mathematics
  • Languages : en
  • Pages : 20

This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.


Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12

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  • Author: John Hattie
  • Publisher: Corwin Press
  • ISBN: 1506362958
  • Category : Education
  • Languages : en
  • Pages : 209

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.


Deeper Learning With QR Codes and Augmented Reality

Deeper Learning With QR Codes and Augmented Reality

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  • Author: Monica Burns
  • Publisher: Corwin Press
  • ISBN: 1506331785
  • Category : Education
  • Languages : en
  • Pages : 104

Engaging, interactive learning—right in your students’ hands! What if your students’ mobile devices became an instructional asset rather than a distraction? Discover how free, scannable technology can enrich learning, while captivating students. Best of all, these technologies are easy to quickly implement within your classroom. Learn about QR codes and Augmented Reality (AR) Reach each student with new, hands-on learning opportunities Embrace the ACES Framework for teaching with scannable technologies: Access, Curate, Engage, and Share Promote self-directed learning and showcase students’ creations Leverage technology to connect classroom activities with students’ families and the broader community


Building Thinking Classrooms in Mathematics, Grades K-12

Building Thinking Classrooms in Mathematics, Grades K-12

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  • Author: Peter Liljedahl
  • Publisher: Corwin Press
  • ISBN: 1544374844
  • Category : Education
  • Languages : en
  • Pages : 454

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.