Math Pathways and Pitfalls Place Value and Whole Number Operations with Algebra Readiness PDF Download
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Author: Carne Barnett-Clarke
Publisher:
ISBN: 9780914409595
Category : Arithmetic
Languages : en
Pages : 0
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Book Description
This volume of Math Pathways & PitfallsK-8 intervention curriculum helps students tackle stubborn pitfalls head-on and transform them into pathways for learning key standards for grades 2-3. The lessons in this book address place value and whole number operations interwoven with algebraic reasoning. In rigorous research studies, Math Pathways & Pitfallssignificantly increased student achievement for diverse students, including for English learners, in all grades tested. Math Pathways & Pitfallsintervention lessons and instructional strategies: Help students master key mathematical standards. Include concepts important for algebra readiness. Provide students with guided and independent practice. Support academic language development. Add value to any adopted curriculum. Prevent common pitfalls on homework and standardized assessments. This all-in-one book contains everything a teacher needs to teach Math Pathways & Pitfallswith ease and success: 21 complete lessons Teaching manual DVD video footage of Math Pathways & Pitfallsin action CD with black line masters of student handouts, classroom quizzes, answer keys, and resources Discussion Buildersclassroom poster Teacher professional development tasks, activities, and video footage
Author: Carne Barnett-Clarke
Publisher:
ISBN: 9780914409595
Category : Arithmetic
Languages : en
Pages : 0
Get Book Here
Book Description
This volume of Math Pathways & PitfallsK-8 intervention curriculum helps students tackle stubborn pitfalls head-on and transform them into pathways for learning key standards for grades 2-3. The lessons in this book address place value and whole number operations interwoven with algebraic reasoning. In rigorous research studies, Math Pathways & Pitfallssignificantly increased student achievement for diverse students, including for English learners, in all grades tested. Math Pathways & Pitfallsintervention lessons and instructional strategies: Help students master key mathematical standards. Include concepts important for algebra readiness. Provide students with guided and independent practice. Support academic language development. Add value to any adopted curriculum. Prevent common pitfalls on homework and standardized assessments. This all-in-one book contains everything a teacher needs to teach Math Pathways & Pitfallswith ease and success: 21 complete lessons Teaching manual DVD video footage of Math Pathways & Pitfallsin action CD with black line masters of student handouts, classroom quizzes, answer keys, and resources Discussion Buildersclassroom poster Teacher professional development tasks, activities, and video footage
Author: Lynn T. Goldsmith
Publisher: Allyn & Bacon
ISBN: 9780132101288
Category : Curriculum planning
Languages : en
Pages : 0
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Book Description
Offering an innovative framework, this book helps teachers learn how to use classroom artifacts to assess students' mathematical thinking and students' understanding of mathematical content. Teachers need to be able to diagnose what their students do and don't understand about mathematics. This book helps teachers become more analytic about their students' thinking by showing them how to use student artifacts to evaluate what is happening in the classroom. Focusing on elementary through middle grades, chapters investigate what classroom artifacts are, how to interpret them and ways to use these data to improve mathematics instruction.
Author: Andrew Hacker
Publisher: New Press, The
ISBN: 1620970694
Category : Education
Languages : en
Pages : 257
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Book Description
A New York Times–bestselling author looks at mathematics education in America—when it’s worthwhile, and when it’s not. Why do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? While Andrew Hacker has been a professor of mathematics himself, and extols the glories of the subject, he also questions some widely held assumptions in this thought-provoking and practical-minded book. Does advanced math really broaden our minds? Is mastery of azimuths and asymptotes needed for success in most jobs? Should the entire Common Core syllabus be required of every student? Hacker worries that our nation’s current frenzied emphasis on STEM is diverting attention from other pursuits and even subverting the spirit of the country. Here, he shows how mandating math for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics. Expanding upon the author’s viral New York Times op-ed, The Math Myth is sure to spark a heated and needed national conversation—not just about mathematics but about the kind of people and society we want to be. “Hacker’s accessible arguments offer plenty to think about and should serve as a clarion call to students, parents, and educators who decry the one-size-fits-all approach to schooling.” —Publishers Weekly, starred review
Author: Jo Boaler
Publisher: Penguin
ISBN: 9780670019526
Category : Education
Languages : en
Pages : 296
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Book Description
Discusses how to make mathematics for children enjoyable and why it is important for American children to succeed in mathematics and choose math-based career paths in the future.
Author: Jo Boaler
Publisher: John Wiley & Sons
ISBN: 1119358701
Category : Education
Languages : en
Pages : 260
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Book Description
Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the third-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Author: Michael McDowell
Publisher: Corwin Press
ISBN: 1506359000
Category : Education
Languages : en
Pages : 234
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Book Description
By designing projects that move students from surface to deep and transfer learning through PBL, they will become confident and competent learners. Discover how to make three shifts essential to improving PBL’s overall effect: Clarity: Students should be clear on what they are expected to learn, where they are in the process, and what next steps they need to take to get there. Challenge: Help students move from surface to deep and transfer learning. Culture: Empower them to use that knowledge to make a difference in theirs and the lives of others.
Author: Jo Boaler
Publisher: John Wiley & Sons
ISBN: 1118415531
Category : Education
Languages : en
Pages : 320
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Book Description
Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.
Author: Jo Boaler
Publisher: John Wiley & Sons
ISBN: 1119358809
Category : Education
Languages : en
Pages : 288
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Book Description
Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 081768154X
Category : Mathematics
Languages : en
Pages : 235
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Book Description
This unique approach to combinatorics is centered around unconventional, essay-type combinatorial examples, followed by a number of carefully selected, challenging problems and extensive discussions of their solutions. Topics encompass permutations and combinations, binomial coefficients and their applications, bijections, inclusions and exclusions, and generating functions. Each chapter features fully-worked problems, including many from Olympiads and other competitions, as well as a number of problems original to the authors; at the end of each chapter are further exercises to reinforce understanding, encourage creativity, and build a repertory of problem-solving techniques. The authors' previous text, "102 Combinatorial Problems," makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will interest seasoned mathematicians as well. "A Path to Combinatorics for Undergraduates" is a lively introduction not only to combinatorics, but to mathematical ingenuity, rigor, and the joy of solving puzzles.
Author: Gerald Aungst
Publisher: Corwin Press
ISBN: 1506322999
Category : Education
Languages : en
Pages : 141
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Book Description
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
