Good Questions For Math Teaching Why Ask Them And What To Ask High School
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Good Questions for Math Teaching by Peter Sullivan,Pat Lilburn Pdf
Open-ended questions, coined ï¿1⁄2good questionsï¿1⁄2 by the authors, can prompt children to think creatively and critically. This useful book helps teachers define ï¿1⁄2good questions,ï¿1⁄2 offers teachers tips on how to create their own good questions, and presents a wide variety of sample questions that span 16 mathematical topics, including number, measurement, geometry, probability, and data.
Good Questions for Math Teaching by Lainie Schuster,Nancy Canavan Anderson Pdf
"Good Questions" - or open-ended questions - promote students' mathematical thinking, understanding, and proficiency. By asking careful, purposeful questions, teachers create dynamic learning environments, help students make sense of math, and unravel misconceptions. This valuable book includes a wide variety of good questions for classroom use and offers teachers tips on how to createopen-ended questions of their own.
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
Good Questions for Math Teaching: Why Ask Them and What to Ask, Grades K-5, Second Edition by Peter Sullivan,Pat Lilburn Pdf
Good Questions for Math Teaching What is a good question? How do I create a good question? How might I use a good question in my mathematics classroom? Not only does this powerful resource answer these questions, it also provides more than 300 examples of open-ended questions to support you in creating dynamic learning environments and helping students make sense of math. Designed as a supplement to your mathematics curriculum, the questions can be seamlessly embedded within lessons and units of study, used for warm-up routines and review, and incorporated into assessments. The second edition of this popular resource includes all-time favorite questions as well as new ones! Questions cover financial literacy; counting and place value; decimals; operations (addition, subtraction, multiplication, division); fractions (fraction models, comparing fractions, adding and subtracting fractions); geometry (two-dimensional and three-dimensional shapes); data analysis and probability, and measurement (weight, volume, area, time, length and perimeter).
Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf
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.
Answers to Your Biggest Questions About Teaching Elementary Math by John J. SanGiovanni,Susie Katt,Latrenda D. Knighten,Georgina Rivera Pdf
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?
In productive classrooms, teachers don't just teach students math and reading skills; they build emotionally and relationally healthy learning communities. Teachers create intellectual environments that produce not only technically competent students, but also caring, secure, actively literate human beings. Choice Words: How Our Language Affects Children's Learning shows how teachers can accomplish this by using their most powerful teaching tool: language.Throughout this book, author Peter Johnston provides examples of seemingly ordinary words, phrases, and uses of language that are pivotal in the orchestration of the classroom. Grounded in a study by accomplished literacy teachers, the book demonstrates how and what we say (and don't say) have surprising consequences for what children learn and for who they become as literate people. Students learn how to become strategic thinkers, not merely learning the literacy strategies, but adapting them to their lives outside of the classroom.In addition, Johnston examines the complex learning that teachers produce in classrooms that is hard to name and thus is not recognized by tests, by policy-makers, by the general public, and often by teachers themselves, yet is vitally important. This book will be enlightening for any teacher who wishes to be more conscious of the many ways their language helps children acquire literacy skills and view the world, their peers, and themselves in new ways.
Nctm Past President Cathy L. Seeley shares her messages on today's most relevant topics and issues in education. Based on Cathy L. Seeley's award-winning nctm President's Messages, and including dozens of new messages, this must-have k-12 resource offers straight talk and common sense about some of today's most important, thought-provoking issues in education. With topics ranging from the impact of rising expectations and the trap of timed tests to the role of technology and the phenomenon of jumping on bandwagons, this book provides a base for lively discussion among elementary, middle, and high school teachers; leaders; policy makers; and families. This book contains 41 messages included in three sections: (1) School Mathematics for the 21st Century: Elementary and Secondary Mathematics in America; (2) Great Ideas Whose Time Has Come (and Gone?): Mathematics Issues Facing Schools and Districts; and (3) Real Students and Real Teachers: Mathematics in Today's Classroom. This book also contains the following: (1) Foreword by Marilyn Burns; (2) Introduction; (3) How to Use This Book; (4) Afterword: The Sum of the Parts Is Greater than Some of the Parts; (5) Acknowledgments; (6) Readings and References; (7) Index; and (8) About the Author.
Guided Math Workshop by Laney Sammons,Donna Boucher Pdf
This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.
The Questioning Process: Its Role in Mathematics Learning by Mahesh Sharma Pdf
To be an effective teacher in mathematics, one should ask effective questions. This book teaches how to become a better teacher by asking "good" questions. Questions to inform, assess, conceptualize, to master and to become proficient in the learning process. Good questions help a teacher to create a cooperative and inquiring class. the examples selected are from Kindergarten to high school and beyond.
Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom.