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Title How We Understand Mathematics
Author Jacek Woźny
Publisher Springer
Release Date 2018-04-25
Category Mathematics
Total Pages 118
ISBN 9783319776880
Language English, Spanish, and French
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Book Summary:

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.

Title Understanding Mathematics for Young Children
Author Derek Haylock
Publisher SAGE
Release Date 2013-03-13
Category Education
Total Pages 344
ISBN 9781446289372
Language English, Spanish, and French
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Book Summary:

Lecturers, why waste time waiting for the post arrive? Request your e-inspection copy today! 'This book was a delight to read. The mathematical content is excellent and the approach to explaining complex concepts is exceptionally good!' -Dr Jennifer Way, University of Sydney 'I'm a really big fan of this book: it is the single most influential text in my experience of working with primary maths teachers in the last 12 years' - Andy Tynemouth, Every Child Counts National Adviser, Edge Hill University 'Every teacher of maths should read this book! It helped me realize why some children are struggling with doing simple word problems' -Amazon reader review If you are a teacher or student teacher in a nursery or primary school, you need a secure understanding of the mathematical ideas behind the material you will use in the classroom. To help young children develop their understanding of mathematics, you need to develop your own understanding of how mathematics is learnt. In this indispensible book, the authors help you to understand mathematical concepts and how children come to understand them, and also help develop your own confidence with mathematical activities. Each chapter of this book includes: -Real-life examples and illustrations from children and teachers in the classroom -The research behind some of the concepts and teaching approaches discussed -Pauses to reflect and discuss your own mathematical knowledge and experience -Age-appropriate classroom activities to try with your class or group.

Title Analysis A Gateway To Understanding Mathematics
Author Dineen Sean
Publisher World Scientific Publishing Company
Release Date 2012-05-04
Category Mathematics
Total Pages 320
ISBN 9789814401401
Language English, Spanish, and French
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Book Summary:

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.

Maths Unwrapped by Mattias Ribbing

Title Maths Unwrapped
Author Mattias Ribbing
Publisher Hachette UK
Release Date 2019-11-28
Category Mathematics
Total Pages 384
ISBN 9781473696143
Language English, Spanish, and French
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Book Summary:

Why do so many of us struggle to remember the maths we were taught at school? The answer is that we can successfully memorise things for a short period but we only retain those memories long term if we understand them. Mattias Ribbing is a Grand Master of Memory who will show you how to remember maths through truly understanding it. His methods are simple but will last for life, and unwrap the puzzle of maths forever. The key to confidence with numbers is not remembering complex rules surrounding long division or algebra; it's understanding the critical components of maths and being able to clearly visualise problems and solutions. This illuminating guide to improving your maths provides logical, long-term strategies that will enable you to finally get maths and hold on to that level of confidence thereafter.

Title Understanding Mathematical Proof
Author John Taylor
Publisher CRC Press
Release Date 2016-04-19
Category Mathematics
Total Pages 414
ISBN 9781466514911
Language English, Spanish, and French
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Book Summary:

The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs.Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techn

Title Using and Understanding Mathematics
Author Jeffrey O. Bennett
Publisher Addison-Wesley
Release Date 2005
Category Mathematics
Total Pages 742
ISBN 0321227735
Language English, Spanish, and French
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Book Summary:

Most students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics in daily life. This quantitative reasoning text is written expressly for those students, providing them with the mathematical reasoning and quantitative literacy skills they' ll need to make good decisions throughout their lives. Common-sense applications of mathematics engage students while underscoring the practical, essential uses of math.

Understanding Mathematics 6 by C. Sailaja, Smita Ratish, Lata Wishram

Title Understanding Mathematics 6
Author C. Sailaja, Smita Ratish, Lata Wishram
Publisher Vikas Publishing House
Release Date 2021
Category Mathematics
Total Pages 86
ISBN 9789352592760
Language English, Spanish, and French
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Book Summary:

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.

Title Understanding Lesson Study for Mathematics
Author Rosa Archer
Publisher Routledge
Release Date 2020-07-23
Category Education
Total Pages 262
ISBN 9781351048262
Language English, Spanish, and French
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Book Summary:

Using the latest research, this book provides an insight into how learning in mathematics can be improved through a lesson study approach. This highly practical resource explores the research and theory that underpins lesson study, and shows the significant impact it can have on teacher development. Divided into ten accessible main chapters that focus in depth on an individual mathematics lesson, each chapter provides research and background to the lesson, an outline of key features, a detailed description and analysis of the lesson in practice, post-lesson discussions and reflections which generalise from the experience, as well as links to helpful resources. Some of the key topics explored include: Fractions Proportional relationships Probability and statistics Geometry Modelling Algebra Dialogic reasoning. Understanding Lesson Study for Mathematics is the perfect resource for all mathematics teachers, trainee teachers, and professional developers who are looking to develop the use of lesson study in their own practice or for those simply seeking new inspiring ideas for the mathematics classroom.

Title Understanding and Teaching Primary Mathematics
Author Tony Cotton
Publisher Routledge
Release Date 2014-04-29
Category Education
Total Pages 264
ISBN 9781317614388
Language English, Spanish, and French
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Book Summary:

How would you teach the concept of odd and even numbers to a child? What is the probability of throwing a three on a six-sided die? How could you help a child who is confusing ratio and proportion? By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any age. Written in a clear and accessible way, the book guides you through the fundamental ideas which are at the heart of teaching and learning maths, with special focus on observation and assessment of primary and early years children. Hallmark features Links to the classroom and research are provided throughout to help you relate educational theory to your own teaching practice. Portfolio and audit tasks allow you to assess your own subject knowledge and build up a portfolio of evidence to gain Qualified Teacher Status. The accompanying extra resources offers topic-specific self-audits for you to monitor your progress, exemplar lesson plans, a range of Portfolio Tasks mapped directly to current teacher standards and web-links to up-to-date online resources. New to this edition Resource Inspiration boxes give inviting examples of different activities to do with your class to provide inspiration for your own teaching. High quality videos with corresponding discussion, have been expertly selected from Teachers TV help to widen your skills and develop your practice, offering tips, lesson ideas and classroom resources.

Title Understanding Numbers Simplify life s mathematics Decode the world around you
Author Marianne Freiberger
Publisher White Lion Publishing
Release Date 2019-04-09
Category Mathematics
Total Pages 160
ISBN 9781781318157
Language English, Spanish, and French
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Book Summary:

"Simple, clear explanations of twenty ways in which mathematics helps us to understand practical issues of everyday life. Suitable for teenagers and adults, and beautifully produced. Highly recommended!" - Professor Ian Stewart, bestselling author of The Cabinet of Mathematical Curiosities Mathematics is an indispensable tool for life. From the systems that underpin our newsfeeds, through to the data analysis that informs our health and financial decisions, to the algorithms that power how we search online – mathematics is at the heart of how our modern world functions. In 20 dip-in lessons, Understanding Numbers explains how and why mathematics fuels your world and arms you with the knowledge to make wiser choices in all areas of your life. • Make sense of health statistics • Understand the mathematics behind political voting systems • Get to grips with how online search tools work • Discover how mathematics can create the perfect city

Helping Children Learn Mathematics by National Research Council

Title Helping Children Learn Mathematics
Author National Research Council
Publisher National Academies Press
Release Date 2002-07-31
Category Education
Total Pages 52
ISBN 9780309131988
Language English, Spanish, and French
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Book Summary:

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we’re teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre--kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Title Understanding Emotions in Mathematical Thinking and Learning
Author Ulises Xolocotzin
Publisher Academic Press
Release Date 2017-05-12
Category Psychology
Total Pages 474
ISBN 9780128024898
Language English, Spanish, and French
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Book Summary:

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

Concept Based Mathematics by Jennifer T.H. Wathall

Title Concept Based Mathematics
Author Jennifer T.H. Wathall
Publisher Corwin Press
Release Date 2016-01-14
Category Education
Total Pages 296
ISBN 9781506332659
Language English, Spanish, and French
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Book Summary:

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you help students discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way to help students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and there’s even a companion website with additional resources.

Title Literacy Strategies for Improving Mathematics Instruction
Author Joan M. Kenney
Publisher ASCD
Release Date 2005
Category Education
Total Pages 113
ISBN 9781416602309
Language English, Spanish, and French
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Book Summary:

Provides teachers with classroom-proven ways to prepare students to be successful math learners by teaching the vocabulary and comprehension skills needed to understand mathematics.

Title Teaching Mathematics to English Language Learners
Author Gladis Kersaint
Publisher Routledge
Release Date 2014-06-05
Category Education
Total Pages 178
ISBN 9781136227592
Language English, Spanish, and French
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Book Summary:

Today's mathematics classrooms increasingly include students for whom English is a second language. Teaching Mathematics to English Language Learners provides readers a comprehensive understanding of both the challenges that face English language learners (ELLs) and ways in which educators might address them in the secondary mathematics classroom. Framed by a research perspective, Teaching Mathematics to English Language Learners presents practical instructional strategies for engaging learners that can be incorporated as a regular part of instruction. The authors offer context-specific strategies for everything from facilitating classroom discussions with all students, to reading and interpreting math textbooks, to tackling word problems. A fully annotated list of math web and print resources completes the volume, making this a valuable reference to help mathematics teachers meet the challenges of including all learners in effective instruction. Features and updates to this new edition include: An updated and streamlined Part 1 provides an essential overview of ELL theory in a mathematics specific context. Additional practical examples of mathematics problems and exercises make turning theory into practice easy when teaching ELLs New pedagogical elements in Part 3 include tips on harnessing new technologies, discussion questions and reflection points. New coverage of the Common Core State Standards, as well as updates to the web and print resources in Part 4.

Title A Concise Introduction to Pure Mathematics
Author Martin Liebeck
Publisher CRC Press
Release Date 2018-09-03
Category Mathematics
Total Pages 320
ISBN 9781315363288
Language English, Spanish, and French
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Book Summary:

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.

Title Yes But Why Teaching for Understanding in Mathematics
Author Ed Southall
Publisher SAGE
Release Date 2017-02-13
Category Education
Total Pages 336
ISBN 9781526412423
Language English, Spanish, and French
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Book Summary:

This book sheds light on the hidden connections between everything in mathematics so teachers can explain it while fully understanding it themselves.

Title Understanding Modern Mathematics
Author Saul Stahl
Publisher Jones & Bartlett Learning
Release Date 2007
Category Medical
Total Pages 233
ISBN 0763734012
Language English, Spanish, and French
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Book Summary:

Understanding Modern Mathematics Is An Exceptional Collection Of Topics Meant To Better Acquaint Students With Mathematics Through An Exposure To Its Applications And An Analysis Of Its Culture. The Text Provides An In-Depth Focus On Such Key Topics As Probability, Statistics, Voting Systems, Game Theory, And Linear Programming. Two Additional Chapters On Geometry And Symmetry Can Be Found On The Text's Web Site, Providing Students The Opportunity To See The 3-Dimensional Geometric Figures In Full Color. The Text Provides Students With An Understanding Of How These Important Mathematical Topics Are Relevant In Their Everyday Lives While Emphasizing The History Of Mathematics . Understanding Modern Mathematics Is The Perfect Complement To Any Liberal Arts Mathematics Course.