Download or read book Building Thinking Classrooms in Mathematics Grades K 12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
Download or read book Adults Mathematical Thinking and Emotions written by Jeff Evans and published by Routledge. This book was released on 2002-01-04 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The crisis around teaching and learning of mathematics and its use in everyday life and work relate to a number of issues. These include: The doubtful transferability of school maths to real life contexts, the declining participation in A level and higher education maths courses, the apparent exclusion of some groups, such as women and the aversion of many people to maths. This book addresses these issues by considering a number of key problems in maths education and numeracy: *differences among social groups, especially those related to gender and social class *the inseparability of cognition and emotion in mathematical activity *the understanding of maths anxiety in traditional psychological, psychoanalytical and feminist theories *how adults' numerate thinking and performance must be understood in context. The author's findings have practical applications in education and training, such as clarifying problems of the transfer of learning, and of countering maths anxiety.
Download or read book Thnking Mathematically written by J Mason and published by Pearson Higher Ed. This book was released on 2011-01-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.
Download or read book Introduction to Mathematical Thinking written by Keith J. Devlin and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.
Download or read book Understanding Emotions in Mathematical Thinking and Learning written by Ulises Xolocotzin and published by Academic Press. This book was released on 2017-05-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. Covers methodologies in studying emotion in mathematical knowledge Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches Explores the role of anxiety in mathematical learning Synthesizes unifies the work of multiple sub-disciplines in one place
Download or read book Math Thinking Mats Grade 1 written by Carson-Dellosa Publishing and published by Carson-Dellosa Publishing. This book was released on 2016-03-07 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math Thinking Mats for grade 1 reinforces standards-based math skills and improves higher-level thinking skills. This hands-on resource appeals to students by providing grade-appropriate activities that range from adding robotic gears to comparing numbers on a carnival ride. --Teach standards-based math skills using a format that engages students. With 80 pages of high-interest math activities, the Ready to Go: Math Thinking Mats series challenges students with grade-specific math practice. Made from durable card stock and featuring perforated pages, these color-coded activities are easy to organize, making them ideal for learning stations and centers. This resource can also be used to engage early finishers, develop independent learning skills, and support cooperative learning. --Perfect for reinforcing essential math skills, the Ready to Go: Math Thinking Mats series provides a convenient way to meet your studentsÕ academic needs. With customizable, open-ended practice activities, you can adjust these hands-on learning activities for independent or small group learning. Complete with a write-on/wipe-away surface, the game mats are designed to make teaching and learning standards-based math a fun and successful experience.
Download or read book Primary CAME Thinking Maths Teachers Guide written by David Johnson and published by Nelson Thornes. This book was released on 2003-07 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This folder accompanies the Primary CAME professional development programme. The two-year programme is based on extensive research into how to promote the development of children's mathematical thinking skills. It explores not just what to teach Year 5 and 6 children but how and why.
Download or read book Thinkers written by and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thinking about Mathematics written by Stewart Shapiro and published by OUP Oxford. This book was released on 2000-07-13 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.
Download or read book Thinking Kids Math Grade K written by Brighter Child and published by Carson-Dellosa Publishing. This book was released on 2014-05-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Kids'(R) Math is a fun and hands-on approach to learning math! Increase your kindergartenerÕs critical thinking and problem solving skills with the colorful, interactive activities. Each activity supports early learning standards and uses a variety of manipulatives to encourage your child to connect with the math skills he or she is learning. In Thinking Kids Math, your child will learn about counting, sequencing, ordinal numbers, graphing, time, and money. Thinking Kids'(R) Math is a series of hands-on, manipulative math activities aligned to the Common Core State Standards. Each 192-page book consists of different types of grade-appropriate hands-on activities. This series was built on the idea that children learn math concepts best through hands-on experiences. These activities will provide hours of fun while encouraging Common Core Standards through active learning.
Download or read book Thinking Practices in Mathematics and Science Learning written by James G. Greeno and published by Routledge. This book was released on 2013-04-03 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term used in the title of this volume--thinking practices--evokes questions that the authors of the chapters within it begin to answer: What are thinking practices? What would schools and other learning settings look like if they were organized for the learning of thinking practices? Are thinking practices general, or do they differ by disciplines? If there are differences, what implications do those differences have for how we organize teaching and learning? How do perspectives on learning, cognition, and culture affect the kinds of learning experiences children and adults have? This volume describes advances that have been made toward answering these questions. These advances involve several agendas, including increasing interdisciplinary communication and collaboration; reconciling research on cognition with research on teaching, learning, and school culture; and strengthening the connections between research and school practice. The term thinking practices is symbolic of a combination of theoretical perspectives that have contributed to the volume editors' understanding of how people learn, how they organize their thinking inside and across disciplines, and how school learning might be better organized. By touring through some of the perspectives on thinking and learning that have evolved into school learning designs, Greeno and Goldman begin to establish a frame for what they are calling thinking practices. This volume is a significant contribution to a topic that they believe will continue to emerge as a coherent body of scientific and educational research and practice.
Download or read book Uncovering Student Thinking in Mathematics Grades K 5 written by Cheryl Rose Tobey and published by Corwin Press. This book was released on 2010-10-04 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides 25 easily administered assessments of learners' math knowledge that help teachers monitor learning in real time and improve all students' math skills.
Download or read book Very Special Maths written by Les Staves and published by Routledge. This book was released on 2018-07-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for those who work with pupils with severe and profound learning difficulties, this practical book uniquely describes content for a special curriculum in maths, and looks at how early ideas develop and become real knowledge, essential to daily function. Les Staves explains recent theories about the early development of understanding numbers, including a breakdown of the processes of learning to count which are largely neglected in the National Curriculum. He also outlines the ‘big ideas’ that are fundamental to the beginnings of mathematical thinking for children with severe and profound learning difficulties, which are vital to carrying out practical mathematical processes.
Download or read book Mathematical Thinking and Communication written by Mark Driscoll and published by Heinemann Educational Books. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language is deeply involved in learning mathematics as students both communicate and think about mathematical ideas. Because of this, teachers of English learners have particular challenges to overcome. Mathematical Thinking and Communication addresses perhaps the most significant challenge: providing access to mathematics for these students. For all students-and English learners in particular-access means finding effective, authentic ways to make language clear and thinking visible so they can reason more, speak more, and write more in mathematics. Based on extensive research and collaboration with teachers, coaches, and schools, Mark Driscoll, Johannah Nikula, and Jill Neumayer DePiper outline four principles for designing instruction that creates this kind of access: challenging tasks, multimodal representations, development of mathematical communication, and repeated structured practice. Starting from the perspective that English learners are capable of mathematical thinking (even as they are learning to express their ideas verbally), the authors highlight techniques for using gestures, drawings, models, manipulatives, and technology as tools for reasoning and communication. By embedding these visual representations into instruction-and encouraging their regular use-teachers support engagement in problem solving, facilitate mathematical dialogue, and notice evidence of students' thinking that propels them to create more engaging and equitable instruction. Enhanced by an extensive online collection of companion professional development resources, this book highlights classroom-ready strategies and routines for fostering mathematics success in all students and helping them recognize their potential.
Download or read book Modifying Your Thinking Classroom for Different Settings written by Peter Liljedahl and published by Corwin Press. This book was released on 2021-08-17 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This supplement explains how the practices outlined in the book "Building Thinking Classrooms in Mathematics" work in a classroom with social distancing or in settings that are not always face-to-face. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic. Includes updated toolkits and a recommended order for the implementation of the practices for each of the settings.
Download or read book Developing Mathematical Thinking written by Jonathan D. Katz and published by Rowman & Littlefield. This book was released on 2014-07-07 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this country we have done a poor job of helping students come to see the wonder, beauty and power of mathematics. Standards can be brought into the picture, but unless we think about what it means to truly engage students in mathematics we will continue to be unsuccessful. The goal of this book is to begin to change the way students experience mathematics in the middle and high school classrooms. In this book you will find a theoretical basis for this approach to teaching mathematics, multiple guides and questions for teachers to think about in relation to their everyday teaching, and over 30 examples of problems, lessons, tasks, and projects that been used effectively with urban students.
