Common Mistakes In Teaching Elementary Math And How To Avoid Them
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Common Mistakes In Teaching Elementary Math And How To Avoid Them
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Author : Fuchang Liu
language : en
Publisher: Taylor & Francis
Release Date : 2017-03-27
Common Mistakes In Teaching Elementary Math And How To Avoid Them written by Fuchang Liu and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Education categories.
Learn the most effective ways to teach elementary math, no matter how much experience you have with the subject. In this book, Fuchang Liu takes you through many common mistakes in math instruction and explains the misunderstandings behind them. He points out practices that should be avoided, helping you to adjust your lessons so that all students can achieve success. You’ll discover how to... - Increase your confidence with core math principles and reasoning - Set your students on the path toward eventually developing more complex math skills - Improve student achievement by approaching problems in logical yet creative ways - Overcome common challenges faced by students and teachers - Teach problem solving for different learning styles Every chapter reconsiders well-established ways of teaching all areas of elementary math, from addition and subtraction to statistics and graphs. Helpful examples and tips are scattered throughout the book, offering revisions to the way these topics are often presented in the classroom. Also included are group study ideas for principals and instructional coaches so your school or district can work on the book together. With this practical guide, you’ll be ready to help students truly develop their math understanding.
The Math Teacher S Toolbox
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Author : Bobson Wong
language : en
Publisher: John Wiley & Sons
Release Date : 2020-06-04
The Math Teacher S Toolbox written by Bobson Wong and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-04 with Education categories.
Math teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom The Teacher’s Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors. The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy. This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with “math anxiety,” and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book: Explains the usefulness, application, and potential drawbacks of each instructional strategy Provides fresh activities for all classrooms Helps math teachers work with ELLs, advanced students, and students with learning differences Offers real-world guidance for working with parents, guardians, and co-teachers The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators.
Children S Errors In Mathematics
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Author : Alice Hansen
language : en
Publisher: Learning Matters
Release Date : 2017-07-29
Children S Errors In Mathematics written by Alice Hansen and has been published by Learning Matters this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-29 with Education categories.
This practical and popular guide to children’s common errors and misconceptions in primary mathematics is an essential tool for teachers and trainees. It supports them in planning for and tackling potential errors and enhances their understanding of the difficulties encountered in mathematical development. This fourth edition explores how a Growth Mindset approach works alongside an awareness of children′s errors and how mistakes themselves are powerful learning tools. This edition includes 50 new identifiable misconceptions children have of mathematics. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions. Key features: Linked to the new National Curriculum and covers every objective Provides an essential tool for planning primary mathematics lessons Explores how common misconceptions can be anticipated and addressed
Becoming The Math Teacher You Wish You D Had
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Author : Tracy Zager
language : en
Publisher: Stenhouse Publishers
Release Date : 2017
Becoming The Math Teacher You Wish You D Had written by Tracy Zager and has been published by Stenhouse Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Education categories.
Readers, be warned: you are about to fall in love. Tracy writes, "Good math teaching begins with us." With those six words, she invites you on a journey through this most magnificent book of stories and portraits...This book turns on its head the common misconception of mathematics as a black-and-white discipline and of being good at math as entailing ease, speed, and correctness. You will find it full of color, possibility, puzzles, and delight...Let yourself be drawn in. Elham Kazemi, professor, math education, University of Washington While mathematicians describe mathematics as playful, beautiful, creative, and captivating, many students describe math class as boring, stressful, useless, and humiliating. In Becoming the Math Teacher You Wish You'd Had, Tracy Zager helps teachers close this gap by making math class more like mathematics. Tracy spent years with highly skilled math teachers in a diverse range of settings and grades. You'll find this book jam-packed with new thinking from these vibrant classrooms. You'll grapple with big ideas: How is taking risks inherent to mathematics? How do mathematicians balance intuition and proof? How can teachers value both productive mistakes and precision? You'll also find dozens of practical teaching techniques you can try in your classroom right away--strategies to stimulate students to connect ideas; rich tasks that encourage students to wonder, generalize, conjecture, and persevere; routines to teach students how to collaborate. All teachers can move toward increasingly authentic, delightful, robust mathematics teaching and learning for themselves and their students. This important book helps us develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
Answers To Your Biggest Questions About Teaching Elementary Math
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Author : John J. SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2021-09-09
Answers To Your Biggest Questions About Teaching Elementary Math written by John J. 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 2021-09-09 with Education categories.
Your guide to grow and learn as a math teacher! Let’s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally “delivers knowledge” to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom: 1. How do I build a positive math community? 2. How do I structure, organize, and manage my math class? 3. How do I engage my students in math? 4. How do I help my students talk about math? 5. How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey?
Avoid Silly Mistakes In Mathematics
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Author : Rajesh Sarswat
language : en
Publisher: Independently Published
Release Date : 2017-03-16
Avoid Silly Mistakes In Mathematics written by Rajesh Sarswat and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-16 with Mathematics categories.
AVOID SILLY MISTAKES IN MATHEMATICS Learning math not only requires strong fundamentals but also a lot of practice, and making mistakes is part of that process. Making errors in math is a good thing, and can help the students to learn and explore math in a better way. However, repeating same mistakes again and again over an extended period will not benefit the students and will be harmful to their confidence. There are different types of silly errors that students make. Students should try to identify these mistakes with the help of techniques explained in this book and after that should make efforts to cut down and rectify these mistakes for getting good grades in schools. The Categories of silly mistakes are: 1. Careless or Casual Silly Mistakes 2. Calculation Errors 3. Conceptual Errors This book is an effort to guide students, teachers, and parents to take necessary measures to improve upon the habit of committing silly mistakes by students. The various techniques mentioned in this book if practiced or taught to students in the correct manner will help them reducing the quantum of stupid mistakes to a minimal and will further improve their confidence. The book also includes a collection of 100 most common silly mistakes committed by students in Arithmetic, Algebra, Trigonometry, Calculus and other branches of Mathematics across the globe in the age group of 10 to 18 years. After going through the book, students will also be able to learn about some of their misconceptions in Mathematics like: 1. 0 is even or odd? 2. Why 0/0 is not 1? 3. 0 is prime or composite? 4. Volume and Capacity of a container are not same, 5. Perimeter and Circumference of a 2-D figure are not same, 6. Pi is 22/7; still, it is irrational, 7. Why x to the power 0 is 1? 8. Why factorial 0 is 1? 9. What are the factors and multiples of 0? 10. All real numbers are polynomials. and much more ABOUT THE AUTHOR Rajesh Sarswat is presently working in a senior capacity in the Government of India. Despite the pressing bureaucratic compulsions he has to negotiate with on a daily basis, he pursues his keen interest in the field of Mathematics and has done a lot of research on various techniques and concepts on quick Mathematics. This book is the result of his extensive studies in this field for the last 20 years. He qualified in 13 All India Level Competitive Examinations, some of which are the toughest and the most gruesome, along with his research and writing work. His earlier book "Be a Human Calculator" became very popular among students due to the observation based calculation tricks explained in the book. The present book is his fourth book. Apart from writing on mathematical subjects, Rajesh also writes fiction and creative non-fiction. He is also having a passion for teaching mathematics and is a very popular teacher for his innovative and entertaining ways of presenting the subject. Rajesh lives in Ghaziabad, Uttar Pradesh, India with his wife and son.
Knowing And Teaching Elementary Mathematics
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Author : Liping Ma
language : en
Publisher: Routledge
Release Date : 2020-01-06
Knowing And Teaching Elementary Mathematics written by Liping Ma and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with Education categories.
The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples of the mathematics that can develop the thinking of elementary school children. Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. Along with the original studies of U.S. and Chinese teachers’ mathematical understanding, this 20th anniversary edition includes a new preface and a 2013 journal article by Ma, "A Critique of the Structure of U.S. Elementary School Mathematics" that describe differences in U.S. and Chinese elementary mathematics. These are augmented by a new series editor’s introduction and two key journal articles that frame and contextualize this seminal work.
Knowing And Teaching Elementary Mathematics
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Author : Liping Ma
language : en
Publisher: Routledge
Release Date : 2010-03-26
Knowing And Teaching Elementary Mathematics written by Liping Ma and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-26 with Education categories.
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
Schoolhouse Shams
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Author : Peter Downs
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2012-12-27
Schoolhouse Shams written by Peter Downs and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-27 with Education categories.
Written by a parent and school board member, who first embraced many of the ideas of the modern school reform movement, Schoolhouse Shams lays bare much of the mythology and misinformation that underpin many of the failed school reform policies of the last decade. Many of the top strategies of the highly publicized school reform movement already have been tried out in St. Louis with disastrous results. Along with demonstrating the failure of school reform prescriptions to improve education, the experience of St. Louis demonstrates that the ideological premise of the reform movement, that a focus on providing opportunities for private profit-taking will necessarily improve schools, is both wrong and conflicts with the ideals of democracy, accountability, and justice.
Strategies For Teaching Fractions
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Author : David B. Spangler
language : en
Publisher: Corwin Press
Release Date : 2011-08-17
Strategies For Teaching Fractions written by David B. Spangler and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-17 with Education categories.
"Analyzing student work for error patterns (such as on a diagnostic test) and then providing timely, specific, and meaningful intervention will decrease the probability that the errors will be repeated in the future. Taking into account academic research on how students learn, Spangler provides a practical intervention model and specific hands-on materials for teachers to use when working with the many students who struggle with fractions. The step-by-step intervention strategies illustrated in this book will result in improved student performance and improved student dispositions towards mathematics. It will contain the following elements: reproducibles for fully functional diagnostic tests practice pages for exercises keyed to the diagnostic tests and error patterns, and pages to practice alternative algorithms and estimation teacher resources for hands-on activities, game sheets and pieces, and more"--Provided by publisher.