Understanding Mathematics – 5

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Publisher : Vikas Publishing House
ISBN 13 : 9352592751
Total Pages : 236 pages
Book Rating : 4.3/5 (525 download)

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Book Synopsis Understanding Mathematics – 5 by : C. Sailaja, Smita Ratish, Lata Wishram

Download or read book Understanding Mathematics – 5 written by C. Sailaja, Smita Ratish, Lata Wishram and published by Vikas Publishing House. This book was released on with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Mathematics is a carefully written series of mathematics to help students encourage the study of mathematics in the best interactive form. It contains ample practice material, attractive illustrations and real-life examples for the students to relate the topics with their everyday life. Special care has been taken while teaching topics like geometry and probability to the students. Keeping in mind the development status and comprehension level of students, the text has been presented in a well graded manner.

APC Question Bank and Sample Papers in Mathematics for Class 12 - Arya Publishing Company

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Publisher : Arya Publishing Company
ISBN 13 : 8182964725
Total Pages : 464 pages
Book Rating : 4.1/5 (829 download)

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Book Synopsis APC Question Bank and Sample Papers in Mathematics for Class 12 - Arya Publishing Company by : M.L. Aggarwal

Download or read book APC Question Bank and Sample Papers in Mathematics for Class 12 - Arya Publishing Company written by M.L. Aggarwal and published by Arya Publishing Company. This book was released on with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Question Bank and Sample Papers in Mathematics for Class XII by Prof. M.L. Aggarwal has been written according to the changed style of question paper relevant for 2015 Board Examinations. The Salient Features of the book are: Latest Sample Papers issued by the CBSE for 2015 Examinations-with solutions Chapterwise Basic Concepts and Important Results Chapterwise Assignments for Practice (1 mark, 4 marks, 6 marks) Chapterwise Questions from Previous Years’ Board Papers Ten Sample Papers for Practice (4 Solved & 6 Unsolved) CBSE Examination Paper 2014 (Fully Solved) (Delhi and Outside Delhi)

Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5

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Publisher : National Council of Teachers of English
ISBN 13 : 9780873536301
Total Pages : 83 pages
Book Rating : 4.5/5 (363 download)

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Book Synopsis Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5 by : Carne Barnett-Clarke

Download or read book Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5 written by Carne Barnett-Clarke and published by National Council of Teachers of English. This book was released on 2010 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? How are rational numbers related to irrational numbers, which your students will study in later grades? How much do you know… and how much do you need to know? Helping your upper elementary school students develop a robust understanding of rational numbers requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about rational numbers. It is organised around four big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to rational numbers, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

Understanding Mathematics for Young Children

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Publisher : SAGE
ISBN 13 : 152641001X
Total Pages : 337 pages
Book Rating : 4.5/5 (264 download)

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Book Synopsis Understanding Mathematics for Young Children by : Derek Haylock

Download or read book Understanding Mathematics for Young Children written by Derek Haylock and published by SAGE. This book was released on 2017-02-08 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Having a deep understanding of the mathematical ideas and concepts taught in the classroom is vital as a nursery or primary school teacher. In order for children to get to grips with these concepts, trainee teachers need to be aware of how they come to interpret and understand them. Now in its 5th edition, this essential book helps trainee teachers develop their own knowledge of key mathematical ideas and concepts for the nursery and primary classroom. Now focusing specifically on ages 3-7, it also supports trainees with several age-appropriate classroom activities. As well as updates to further reading suggestions and research focuses, this revised edition includes new content on: Mastery in learning mathematics Simple fractions Roman numerals Money as a form of measurement

Understanding Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215069
Total Pages : 269 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Understanding Analysis by : Stephen Abbott

Download or read book Understanding Analysis written by Stephen Abbott and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.

Knowing and Teaching Elementary Mathematics

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Publisher : Routledge
ISBN 13 : 1135149496
Total Pages : 290 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Knowing and Teaching Elementary Mathematics by : Liping Ma

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Formative 5

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Publisher : Corwin Press
ISBN 13 : 1506375189
Total Pages : 200 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis The Formative 5 by : Francis (Skip) Fennell

Download or read book The Formative 5 written by Francis (Skip) Fennell and published by Corwin Press. This book was released on 2016-12-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This highly practical and readable book gets right down into the detail of what good formative assessment looks like in math classrooms, and shows how teachers can make this a part of their regular planning and instruction." —Dylan Wiliam, Emeritus Professor of Educational Assessment, University College Imagine how it would feel to not worry about how to plan, teach, and check for student mathematical understandings and related proficiencies. Imagine if this important process felt like a natural, every day, part of your lesson preparation instead of an extra thing to do. This must-have resource shows the way. NCTM Past President, Francis "Skip" Fennell, and nationally-recognized mathematics educators Beth McCord Kobett and Jonathan (Jon) Wray, offer five of the most impactful, proven assessment techniques—Observations, Interviews, "Show Me," Hinge Questions, and Exit Tasks— you can implement, every day. Tried and tested by teachers just like you, you’ll find that this palette of classroom-based techniques will truly assess learning and inform teaching. Research and classroom practice indicates that formative assessment is poorly understood. This book gives you a concise, research-based, classroom-dedicated plan with lots of tools, activities, classroom vignettes, and student work to guide your daily use of these techniques – The Formative 5. Both within and between lessons, K-8 teachers of mathematics will learn to Think and go beyond assessment of learning, focusing on assessment for learning Directly connect assessment to planning and teaching Engineer effective classroom questioning, discussions, and learning tasks Provide success criteria and feedback that moves students forward Integrate the Standards for Mathematical Practice Activate student self-assessors who take ownership of their learning Includes a book study guide, tools and templates, and a companion website with downloadables and multi-media examples of student discussion in the classroom. The Formative 5 will help you build your mathematics-related formative assessment capacity through daily use of these five key techniques, leading to regularly monitored and improved learning opportunities for your students. Now Available: The On-Your-Feet Guide to The Formative 5

Man vs Maths

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Publisher : Aurum
ISBN 13 : 178131621X
Total Pages : 224 pages
Book Rating : 4.7/5 (813 download)

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Book Synopsis Man vs Maths by : Timothy Revell

Download or read book Man vs Maths written by Timothy Revell and published by Aurum. This book was released on 2016-09-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Could we solve queuing with an equation? How do algorithms control our news? What is the secret behind encryption codes? Mathematics is inescapable. Wherever you go, whatever you do, however you live your life, mathematics plays a role. From controlling a city’s traffic to finding love, spending money online to building a skyscraper, the mathematics at play in our world is fascinating. Yet despite its ubiquity, for many of us, how the maths of today really works remains complex. Timothy Revell distils these complexities in this essential guide to modern-day mathematics. Along the way we discover how social media trends work, why the universe has a favourite number and what this means for you. Man vs Maths shows you how understanding a little more mathematics can help improve your life.

Mine the Gap for Mathematical Understanding, Grades 3-5

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Publisher : Corwin Press
ISBN 13 : 1506375502
Total Pages : 384 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Mine the Gap for Mathematical Understanding, Grades 3-5 by : John SanGiovanni

Download or read book Mine the Gap for Mathematical Understanding, Grades 3-5 written by John SanGiovanni and published by Corwin Press. This book was released on 2016-09-16 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 students’ 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 180 high-quality tasks aligned to the standards and big ideas of Grades 3-5 mathematics, including addition and subtraction of multi-digit whole numbers, multiplication and division of single and multi-digit whole numbers, foundational fraction concepts, foundational decimal concepts, and operations with fractions and decimals. 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 task what 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.

How Students Learn

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Publisher : National Academies Press
ISBN 13 : 0309074339
Total Pages : 633 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis How Students Learn by : National Research Council

Download or read book How Students Learn written by National Research Council and published by National Academies Press. This book was released on 2005-01-23 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you get a fourth-grader excited about history? How do you even begin to persuade high school students that mathematical functions are relevant to their everyday lives? In this volume, practical questions that confront every classroom teacher are addressed using the latest exciting research on cognition, teaching, and learning. How Students Learn: History, Mathematics, and Science in the Classroom builds on the discoveries detailed in the bestselling How People Learn. Now, these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in teaching history, science, and math topics at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. The book explores the importance of balancing students' knowledge of historical fact against their understanding of concepts, such as change and cause, and their skills in assessing historical accounts. It discusses how to build straightforward science experiments into true understanding of scientific principles. And it shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. How Students Learn offers a highly useful blend of principle and practice. It will be important not only to teachers, administrators, curriculum designers, and teacher educators, but also to parents and the larger community concerned about children's education.

Math Made Visual

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Publisher : MAA
ISBN 13 : 9780883857465
Total Pages : 202 pages
Book Rating : 4.8/5 (574 download)

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Book Synopsis Math Made Visual by : Claudi Alsina

Download or read book Math Made Visual written by Claudi Alsina and published by MAA. This book was released on 2006-07-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,...) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process.

Understanding Mathematics

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Publisher :
ISBN 13 :
Total Pages : 221 pages
Book Rating : 4.:/5 (69 download)

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Book Synopsis Understanding Mathematics by : Richard R. Skemp

Download or read book Understanding Mathematics written by Richard R. Skemp and published by . This book was released on 1968 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Units of Study for Teaching Reading

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Publisher :
ISBN 13 : 9780325076959
Total Pages : pages
Book Rating : 4.0/5 (769 download)

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Book Synopsis Units of Study for Teaching Reading by : Lucy Calkins

Download or read book Units of Study for Teaching Reading written by Lucy Calkins and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "In second grade, children move from a "little-kid" focus on print to a "big-kid" focus on meaning. The first unit, Second-Grade Reading Growth Spurt, teaches children to take charge of their reading, drawing on everything they know to figure out hard words, understand author's craft, and build big ideas about the books they read. Children learn that books can be their teachers in the second unit, Becoming Experts: Reading Nonfiction, in which they learn more about familiar topics and grow understanding of new topics while working on word solving, vocabulary development, and comparing and contrasting information across texts. In the third unit, Bigger Books Mean Amping Up Reading Power, children learn strategies to build three foundational reading skills--fluency, understanding figurative language, and comprehension. In the final unit for second grade, Series Book Clubs, children work within book clubs to study author's craft to understand ways authors use word choice, figurative language, punctuation, and even patterns to construct a series and evoke feelings in readers"--Pearson.com.

Tia Isa Wants a Car

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Publisher : Candlewick Press
ISBN 13 : 1536219517
Total Pages : 35 pages
Book Rating : 4.5/5 (362 download)

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Book Synopsis Tia Isa Wants a Car by : Meg Medina

Download or read book Tia Isa Wants a Car written by Meg Medina and published by Candlewick Press. This book was released on 2020-06-05 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: A little girl pitches in to help her tía save up for a big old car — and take the whole family to the beach — in a story told with warmth and sweetness. Tía Isa wants a car. A shiny green car the same color as the ocean, with wings like a swooping bird. A car to take the whole family to the beach. But saving is hard when everything goes into two piles — one for here and one for Helping Money, so that family members who live far away might join them someday. While Tía Isa saves, her niece does odd jobs for neighbors so she can add her earnings to the stack. But even with her help, will they ever have enough? Meg Medina’s simple, genuine story about keeping in mind those who are far away is written in lovely, lyrical prose and brought to life through Claudio Muñoz’s charming characters.

Five Practices for Orchestrating Productive Mathematics Discussions

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Publisher :
ISBN 13 : 9781483351117
Total Pages : 104 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Five Practices for Orchestrating Productive Mathematics Discussions by : Margaret Schwan Smith

Download or read book Five Practices for Orchestrating Productive Mathematics Discussions written by Margaret Schwan Smith and published by . This book was released on 2011 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.

Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3-5

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Publisher : National Council of Teachers of English
ISBN 13 : 9780873536677
Total Pages : 84 pages
Book Rating : 4.5/5 (366 download)

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Book Synopsis Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3-5 by : Albert Dean Otto

Download or read book Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3-5 written by Albert Dean Otto and published by National Council of Teachers of English. This book was released on 2011 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unpacking"" the ideas related to multiplication and division is a critical step in developing a deeper understanding. To those without specialised training, many of these ideas might appear to be easy to teach. But those who teach in grades 3-5 are aware of their subtleties and complexities. This book identifies and examines two big ideas and related essential understandings for teaching multiplication and division in grades 3–5. Big Idea 1 captures the notion that multiplication is usefully defined as a scalar operation. Problem situations modelled by multiplication have an element that represents the scalar and an element that represents the quantity to which the scalar applies. Big Idea 2 relates to the algorithms that problem solvers have invented - some of which have become “standard” - for multiplying and dividing. The authors examine the ways in which counting, adding and subtracting lead to multiplication and division, as well as the role that these operations play in algebraic expressions and other advanced topics. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers’ reflection.

Understanding Mathematics

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Publisher :
ISBN 13 : 9781559116008
Total Pages : 128 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Understanding Mathematics by : Avelyn Davidson

Download or read book Understanding Mathematics written by Avelyn Davidson and published by . This book was released on 1984 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: