Understanding Mathematics 5

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Understanding Mathematics 5

Author : C. Sailaja, Smita Ratish, Lata Wishram
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

Author : M.L. Aggarwal
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

Author : Carne Barnett-Clarke
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

Author : Derek Haylock
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

Analysis: A Gateway To Understanding Mathematics

Author : Sean Dineen
Publisher : World Scientific Publishing Company
ISBN 13 : 9814401404
Total Pages : 320 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Analysis: A Gateway To Understanding Mathematics by : Sean Dineen

Download or read book Analysis: A Gateway To Understanding Mathematics written by Sean Dineen and published by World Scientific Publishing Company. This book was released on 2012-05-04 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.

Understanding Analysis

Author : Stephen Abbott
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.

How We Understand Mathematics

Author : Jacek Woźny
Publisher : Springer
ISBN 13 : 3319776886
Total Pages : 122 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis How We Understand Mathematics by : Jacek Woźny

Download or read book How We Understand Mathematics written by Jacek Woźny and published by Springer. This book was released on 2018-04-25 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) language. The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. At each stage, primary concepts, axioms, definitions, and proofs will be examined in an effort to unfold the tell-tale traces of the basic human cognitive patterns of story and conceptual blending. This book will be of interest to mathematicians, teachers of mathematics, cognitive scientists, cognitive linguists, and anyone interested in the engaging question of how mathematics works and why it works so well.

Mine the Gap for Mathematical Understanding, Grades 3-5

Author : John SanGiovanni
Publisher : Corwin Press
ISBN 13 : 1506375502
Total Pages : 385 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 385 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.

Understanding Pure Mathematics

Author : A. J. Sadler
Publisher : Oxford University Press, USA
ISBN 13 : 9780199142439
Total Pages : 614 pages
Book Rating : 4.1/5 (424 download)

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Book Synopsis Understanding Pure Mathematics by : A. J. Sadler

Download or read book Understanding Pure Mathematics written by A. J. Sadler and published by Oxford University Press, USA. This book was released on 1987 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers in one volume all topics required in the pure mathematics section of single subject A-Level Mathematics syllabuses in the UK, as well as a significant part of the work required by those studying for Further Mathematics and for A-Level

Math Made Visual

Author : Claudi Alsina
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.

Knowing and Teaching Elementary Mathematics

Author : Liping Ma
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.

Understanding Maths

Author : Graham Lawler
Publisher :
ISBN 13 : 9781842850862
Total Pages : 0 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Understanding Maths by : Graham Lawler

Download or read book Understanding Maths written by Graham Lawler and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an experienced maths teacher, this book will help you master number and data handling. Whether you are just starting at college or university, or a mature student, it explains all you need to know.

How Students Learn

Author : National Research Council
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.

Mine the Gap for Mathematical Understanding, Grades K-2

Author : John SanGiovanni
Publisher : Corwin Press
ISBN 13 : 1506382290
Total Pages : 385 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Mine the Gap for Mathematical Understanding, Grades K-2 by : John SanGiovanni

Download or read book Mine the Gap for Mathematical Understanding, Grades K-2 written by John SanGiovanni and published by Corwin Press. This book was released on 2016-10-31 with total page 385 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 young learners’ 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 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. 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 taskwhat 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.

Units of Study for Teaching Reading

Author : Lucy Calkins
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.

Strengths-Based Teaching and Learning in Mathematics

Author : Beth McCord Kobett
Publisher : Corwin Press
ISBN 13 : 1544374925
Total Pages : 189 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Strengths-Based Teaching and Learning in Mathematics by : Beth McCord Kobett

Download or read book Strengths-Based Teaching and Learning in Mathematics written by Beth McCord Kobett and published by Corwin Press. This book was released on 2020-02-27 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5

Author : Maria L. Blanton
Publisher :
ISBN 13 : 9780873536684
Total Pages : 102 pages
Book Rating : 4.5/5 (366 download)

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Book Synopsis Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5 by : Maria L. Blanton

Download or read book Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5 written by Maria L. Blanton and published by . This book was released on 2011 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like algebra at any level, early algebra is a way to explore, analyse, represent and generalise mathematical ideas and relationships. This book shows that children can and do engage in generalising about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential understandings for developing algebraic thinking in grades 3-5. The big ideas relate to the fundamental properties of number and operations, the use of the equals sign to represent equivalence, variables as efficient tools for representing mathematical ideas, quantitative reasoning as a way to understand mathematical relationships and functional thinking to generalise relationships between covarying quantities. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers’ reflection.