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Mathematical Ideas

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Mathematical Ideas

Mathematical Ideas Book
Author : Charles David Miller,Vern E. Heeren,E. John Hornsby
Publisher : Addison Wesley
Release : 2004
ISBN : 9780321168085
Language : En, Es, Fr & De

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Book Description :

The tenth edition of Mathematical Ideas is the best ever! We have continued with the features and pedagogy that has made this book so successful over the years and at the same time, we've spent a considerable amount of time to incorporate fresh data, new photos, and new content (by way of a new chapter on trigonometry). We have tried to reflect the needs of our users - both long-time readers and those new to the Math Ideas way of teaching liberal arts math. We hope you'll be pleased with the results. - Chapter Openers Each chapter opens with an application related to the chapter topic. These help students see the relevance of mathematics they are about to learn. - Varied Exercise Sets We continue to present a variety of exercises Including drill, conceptual, and applied problems. We continue to use graphs, tables, and charts when appropriate. Most sections include a few challenging exercises that require students to extend the ideas presented in the section. To address the issue of writing across the curriculum, most exercise sets include some exercises that require the student to answer by writing a few sentences. - For Further Thought These entries encourage students to discuss a

50 Mathematical Ideas You Really Need to Know

50 Mathematical Ideas You Really Need to Know Book
Author : Tony Crilly
Publisher : Quercus
Release : 2013-10-01
ISBN : 1623651883
Language : En, Es, Fr & De

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Book Description :

Just the mention of mathematics is enough to strike fear into the hearts of many, yet without it, the human race couldn't be where it is today. By exploring the subject through its 50 key insights--from the simple (the number one) and the subtle (the invention of zero) to the sophisticated (proving Fermat's last theorem)--this book shows how mathematics has changed the way we look at the world around us.

Connecting Mathematical Ideas

Connecting Mathematical Ideas Book
Author : Jo Boaler,Cathy Humphreys
Publisher : Heinemann
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In "Connecting Mathematical Idea"s, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. "Connecting Mathematical Ideas" contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within "Connecting Mathematical Ideas" and find new ways to help your students connect with math.

Mathematical Concepts

Mathematical Concepts Book
Author : Jürgen Jost
Publisher : Springer
Release : 2015-09-10
ISBN : 331920436X
Language : En, Es, Fr & De

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Book Description :

The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning.

Modeling Mathematical Ideas

Modeling Mathematical Ideas Book
Author : Jennifer M. Suh,Padmanabhan Seshaiyer
Publisher : Rowman & Littlefield
Release : 2016-12-27
ISBN : 1475817606
Language : En, Es, Fr & De

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Book Description :

Modeling Mathematical Ideas combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students’ common misconceptions in investigating and discussing important mathematical ideas related to number sense, computational fluency, algebraic thinking and proportional reasoning. In each chapter, the authors opens with a rich real-world mathematical problem and presents classroom strategies (such as visible thinking strategies & technology integration) and other related problems to develop students’ strategic competence in modeling mathematical ideas.

Magical Mathematics

Magical Mathematics Book
Author : Persi Diaconis,Ron Graham
Publisher : Princeton University Press
Release : 2012
ISBN : 0691151644
Language : En, Es, Fr & De

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Book Description :

The mathematics behind some of the world's most amazing card tricks Magical Mathematics reveals the secrets of fun-to-perform card tricks—and the profound mathematical ideas behind them—that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. Diaconis and Graham tell the stories—and reveal the best tricks—of the eccentric and brilliant inventors of mathematical magic. The book exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card Monte, traces the history of mathematical magic back to the oldest mathematical trick—and much more.

Mathematical Ideas in Biology

Mathematical Ideas in Biology Book
Author : J. Maynard Smith
Publisher : Unknown
Release : 1968-11
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

"An introduction to some of the mathematical ideas which are useful to biologists, ... the ways in which biological problems can be expressed mathematically, and how the mathematical equations which arise in biological work can be solved ... This book is particularly concerned with non-statistical topics"--From publisher description.

Show and Tell

Show and Tell Book
Author : Linda Schulman Dacey,Rebeka Eston
Publisher : Math Solutions
Release : 2002
ISBN : 0941355500
Language : En, Es, Fr & De

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Book Description :

Talking about numbers - Connecting numbers, stories and facts - Numbers and operations - Collecting, representing and interpreting data - Investigating geometry with pictures and words - Sights and sounds of measurement - Seeing patterns and sharing algebraic ideas - Seeing and hearingng_____________

Ethnomathematics

Ethnomathematics Book
Author : Marcia Ascher
Publisher : CRC Press
Release : 1994-05-01
ISBN : 9780412989414
Language : En, Es, Fr & De

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Book Description :

In this truly one-of-a-kind book, Ascher introduces the mathematical ideas of people in traditional, or "small-scale", cultures often omitted from discussion of mathematics. Topics such as "Numbers: Words and Symbols", "Tracing Graphs in the Sand", "The Logic of Kin Relations", "Chance and Strategy in Games and Puzzles", and "The Organization and Modeling of Space" are traced in various cultures including the Inuit, Navajo, and Iroquois of North America; the Inca of South America; the Malekula, Warlpiri, Maori, and Caroline Islanders of Oceania, and the Tshokwe, Bushoong, and Kpelle of Africa. As Ascher explores mathematical ideas involving numbers, logic, spatial configuration, and the organization of these into systems and structures, readers gain both a broader understanding and anappreciation for the idease of other peoples.

Key Ideas in Teaching Mathematics

Key Ideas in Teaching Mathematics Book
Author : Anne Watson,Keith Jones,Dave Pratt
Publisher : OUP Oxford
Release : 2013-02-21
ISBN : 0191643416
Language : En, Es, Fr & De

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Book Description :

Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.

Evolution of Mathematical Concepts

Evolution of Mathematical Concepts Book
Author : Raymond L. Wilder
Publisher : Courier Corporation
Release : 2013-01-01
ISBN : 0486490610
Language : En, Es, Fr & De

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Book Description :

Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.

What is a Mathematical Concept

What is a Mathematical Concept  Book
Author : Elizabeth de Freitas,Nathalie Sinclair,Alf Coles
Publisher : Cambridge University Press
Release : 2017-06-22
ISBN : 1107134633
Language : En, Es, Fr & De

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Book Description :

Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

Mathematical Ideas

Mathematical Ideas Book
Author : Charles David Miller,Vern E. Heeren,John Hornsby
Publisher : Addison Wesley Publishing Company
Release : 2000-10-01
ISBN : 9780321076106
Language : En, Es, Fr & De

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Book Description :

We have tried to reflect the needs of our users--both long-time readers and those new to the Math Ideas way of teaching liberal arts math. We hope you'll be pleased with the results. Like its predecessors, this edition has been designed with a variety of students in mind. It is well-suited for several courses, including the aforementioned liberal arts audience, survey courses in mathematics, and mathematics for prospective and in-service elementary and middle school teachers. Ample topics are included for a two-term course, yet the variety of topics and flexibility of sequence make the text suitable for shorter courses as well. Our main objectives continue to be to provide comprehensive coverage of topics, appropriate organization, clear exposition, an abundance of examples, and well-planned exercise sets with numerous applications. ... From publisher description.

Big Ideas In Mathematics Yearbook 2019 Association Of Mathematics Educators

Big Ideas In Mathematics  Yearbook 2019  Association Of Mathematics Educators Book
Author : Toh Tin Lam,Yeo Joseph B W
Publisher : World Scientific
Release : 2019-05-21
ISBN : 9811205396
Language : En, Es, Fr & De

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Book Description :

The new emphasis in the Singapore mathematics education is on Big Ideas (Charles, 2005). This book contains more than 15 chapters from various experts on mathematics education that describe various aspects of Big Ideas from theory to practice. It contains chapters that discuss the historical development of mathematical concepts, specific mathematical concepts in relation to Big Ideas in mathematics, the spirit of Big Ideas in mathematics and its enactment in the mathematics classroom.This book presents a wide spectrum of issues related to Big Ideas in mathematics education. On the one end, we have topics that are mathematics content related, those that discuss the underlying principles of Big Ideas, and others that deepen the readers' knowledge in this area, and on the other hand there are practice oriented papers in preparing practitioners to have a clearer picture of classroom enactment related to an emphasis on Big Ideas.

Cultural Development of Mathematical Ideas

Cultural Development of Mathematical Ideas Book
Author : Geoffrey B. Saxe
Publisher : Cambridge University Press
Release : 2012-09-28
ISBN : 1139560239
Language : En, Es, Fr & De

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Book Description :

Drawing upon field studies conducted in 1978, 1980 and 2001 with the Oksapmin, a remote Papua New Guinea group, Geoffrey B. Saxe traces the emergence of new forms of numerical representations and ideas in the social history of the community. In traditional life, the Oksapmin used a counting system that makes use of twenty-seven parts of the body; there is no evidence that the group used arithmetic in prehistory. As practices of economic exchange and schooling have shifted, children and adults unwittingly reproduced and altered the system in order to solve new kinds of numerical and arithmetical problems, a process that has led to new forms of collective representations in the community. While Dr Saxe's focus is on the Oksapmin, the insights and general framework he provides are useful for understanding shifting representational forms and emerging cognitive functions in any human community.

Math Talk

Math Talk Book
Author : Theoni Pappas
Publisher : Turtleback Books
Release : 1991-03-01
ISBN : 9781417626731
Language : En, Es, Fr & De

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Book Description :

Presents mathematical ideas through poetic dialogues intended to be read by two people.

50 Math Ideas You Really Need to Know

50 Math Ideas You Really Need to Know Book
Author : Tony Crilly
Publisher : Hachette UK
Release : 2023-08-19
ISBN : 1529428769
Language : En, Es, Fr & De

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Book Description :

In a series of 50 accessible essays, Tony Crilly explains and introduces the mathematical laws and principles - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand the world around us. From Pascal's triangle to money management, ideas of relativity to the very real uses of imaginary numbers, 50 Math Ideas is a complete introduction to the most important mathematical concepts in history.

Exploring Mathematical Modeling with Young Learners

Exploring Mathematical Modeling with Young Learners Book
Author : Jennifer M. Suh,Megan H. Wickstrom,Lyn D. English
Publisher : Springer Nature
Release : 2021-06-01
ISBN : 3030639002
Language : En, Es, Fr & De

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Book Description :

This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives. Mathematical modeling provides a unique opportunity to engage elementary students in the creative process of mathematizing their world. A diverse community of internationally known researchers and practitioners share studies that advance the field with respect to the following themes: The Nature of Mathematical Modeling in the Early Grades Content Knowledge and Pedagogy for Mathematical Modeling Student Experiences as Modelers Teacher Education and Professional Development in Modeling Experts in the field provide commentaries that extend and connect ideas presented across chapters. This book is an invaluable resource in illustrating what all young children can achieve with mathematical modeling and how we can support teachers and families in this important work.

Handbook of International Research in Mathematics Education

Handbook of International Research in Mathematics Education Book
Author : Lyn D. English
Publisher : Routledge
Release : 2002-03
ISBN : 1135665796
Language : En, Es, Fr & De

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Book Description :

This state-of-the-art Handbook brings together important mathematics education research that makes a difference in both theory and practice--research that: anticipates problems and needed knowledge before they become impediments to progress; interprets future-oriented problems into researchable issues; presents the implications of research and theory development in forms that are useful to practitioners and policymakers; and facilitates the development of research communities to focus on neglected priorities or strategic opportunities. The volume represents a genuine attempt by contributors from around the world to advance the discipline, rather than simply review what has been done and what exists. The Handbook was developed in response to a number of major global catalysts for change, including the impact of national and international mathematics comparative assessment studies; the social, cultural, economic, and political influences on mathematics education and research; the influence of progressively sophisticated and available technology; and the increasing globalization of mathematics education and research. From these catalysts have emerged specific priority themes and issues for mathematics education research in the 21st century. Three key themes were identified for attention in this volume: life-long democratic access to powerful mathematical ideas; advances in research methodologies; and influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development as an important component of all these aspects. Dynamic and forward looking, the Handbook of International Research in Mathematics Education is distinguished by its focus on new and emerging theoretical models, perspectives, and research methodologies; its uniformly high standard of scholarship; and its emphasis on the international nature of mathematics education research. It is an essential volume for all researchers, professionals, and students interested in mathematics education research in particular and, more generally, in international developments and future directions in the broad field of educational research.