5 Principles Of The Modern Mathematics Classroom
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5 Principles Of The Modern Mathematics Classroom
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Author : Gerald Aungst
language : en
Publisher:
Release Date : 2016
5 Principles Of The Modern Mathematics Classroom written by Gerald Aungst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
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
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Author : Gerald Aungst
language : en
Publisher: Corwin Press
Release Date : 2015-10-09
5 Principles Of The Modern Mathematics Classroom written by Gerald Aungst and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-09 with Education categories.
Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts with challenges discovered in the real world, not a sequence of prescribed problems. In this groundbreaking book, Gerald Aungst offers five powerful principles for instilling a culture of learning in your classroom: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows how to: Embrace collaboration and purposeful chaos to engage students in productive struggle Put each chapter’s principles into practice using a variety of strategies, activities, and technology tools Introduce lasting changes in your classroom through a gradual shift in processes and behaviors
5 Principles Of The Modern Mathematics Classroom
DOWNLOAD
Author : Gerald Aungst
language : en
Publisher: Corwin Press
Release Date : 2015-10-09
5 Principles Of The Modern Mathematics Classroom written by Gerald Aungst and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-09 with Education categories.
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 Middle School
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Author : Margaret (Peg) Smith
language : en
Publisher: Corwin Press
Release Date : 2019-02-12
The Five Practices In Practice Middle School written by Margaret (Peg) Smith and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-12 with Education categories.
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 middle 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 middle 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 and completed monitoring tools, and mathematical tasks.
Mathematics Formative Assessment Volume 2
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Author : Page Keeley
language : en
Publisher: Corwin Press
Release Date : 2016-12-08
Mathematics Formative Assessment Volume 2 written by Page Keeley and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-08 with Education categories.
This one-of-a-kind resource helps you build a bridge between your students’ initial ideas and correct mathematical thinking. Includes an annotated reference guide.
Visible Learning For Mathematics Grades K 12
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Author : John Hattie
language : en
Publisher: Corwin Press
Release Date : 2016-09-15
Visible Learning For Mathematics Grades K 12 written by John Hattie and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-15 with Education categories.
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.
The Common Core Mathematics Companion The Standards Decoded High School
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Author : Frederick L. Dillon
language : en
Publisher: Corwin Press
Release Date : 2017-09-12
The Common Core Mathematics Companion The Standards Decoded High School written by Frederick L. Dillon and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-12 with Education categories.
Your User’s Guide to the Mathematics Standards When it comes to mathematics, standards aligned is achievement aligned... In the short time 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 mathematics ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. Page by page, the authors lay out the pieces of an in-depth explanation, including The mathematical progression of each conceptual category, starting with modeling as a unifying theme, and moving through number & quantity, algebra, functions, geometry, and statistics and probability, building from the 8th grade standards The mathematics embedded in each conceptual category for a deeper understanding of the content How standards connect within and across domains, and to previous grade standards, so teachers can better appreciate how they relate How standards connect with the standards for mathematical practice, with a focus on modeling as a unifying theme Example tasks, progressions of tasks, and descriptions of what teachers and students should be doing to foster deep learning The Common Core Mathematics Companion: The Standards Decoded, High School has what every high school teacher needs to provide students with the foundation for the concepts and skills they will be expected to know .
Every Math Learner Grades 6 12
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Author : Nanci N. Smith
language : en
Publisher: Corwin Press
Release Date : 2017-02-02
Every Math Learner Grades 6 12 written by Nanci N. Smith and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-02 with Education categories.
As a secondary mathematics teacher, you know that students are different and learn differently. And yet, when students enter your classroom, you somehow must teach these unique individuals deep mathematics content using rigorous standards. The curriculum is vast and the stakes are high. Is differentiation really the answer? How can you make it work? Nationally recognized math differentiation expert Nanci Smith debunks the myths, revealing what differentiation is and isn’t. In this engaging book Smith reveals a practical approach to teaching for real learning differences. You’ll gain insights into an achievable, daily differentiation process for ALL students. Theory-lite and practice-heavy, this book shows how to maintain order and sanity while helping your students know, understand, and even enjoy doing mathematics. Classroom videos, teacher vignettes, ready-to-go lesson ideas and rich mathematics examples help you build a manageable framework of engaging, sense-making math. Busy secondary mathematics teachers, coaches, and teacher teams will learn to Provide practical structures for assessing how each of your students learns and processes mathematics concepts Design, implement, manage, and formatively assess and respond to learning in a differentiated classroom Plan specific, standards-aligned differentiated lessons, activities, and assessments Adjust current instructional materials and program resources to better meet students′ needs This book includes classroom videos, in-depth student work samples, student surveys, templates, before-and-after lesson demonstrations, examples of 5-day sequenced lessons, and a robust companion website with downloadables of all the tools in the books plus other resources for further planning. Every Math Learner, Grades 6-12 will help you know and understand your students as learners for daily differentiation that accelerates their mathematics comprehension. "This book is an excellent resource for teachers and administrators alike. It clearly explains key tenants of effective differentiation and through an interactive approach offers numerous practical examples of secondary mathematics differentiation. This book is a must read for any educator looking to reach all students." —Brad Weinhold, Ed.D., Assistant Principal, Overland High School
Mine The Gap For Mathematical Understanding Grades K 2
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Author : John SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2016-10-31
Mine The Gap For Mathematical Understanding Grades K 2 written by John SanGiovanni and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-31 with Education categories.
Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our young learners’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.
Psychology And Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Frontiers Media SA
Release Date : 2023-09-05
Psychology And Mathematics Education written by Gila Hanna and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-05 with Science categories.
Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).