Mathematical Ideas

Mathematical Ideas
Author: Charles David Miller,Vern E. Heeren,John Hornsby
Publsiher: Addison-Wesley Longman
Total Pages: 1088
Release: 2003
ISBN 10: 9780201793918
ISBN 13: 0201793911
Language: EN, FR, DE, ES & NL

Mathematical Ideas Book Review:

This best-selling text is written for the non-science, non-mathematics major. The book's flexible organization and self-contained chapters enable instructors to tailor the text to their preferred syllabus. It focuses on essential concepts and skills while imparting an appreciation for the many practical and fascinating applications of mathematics to everyday life. The ninth edition continues to adhere to NCTM and AMATYC standards with an emphasis on cooperative learning through collaborative investigations, the inclusion of real data and the optional use of graphing technology.

50 Mathematical Ideas You Really Need to Know

50 Mathematical Ideas You Really Need to Know
Author: Tony Crilly
Publsiher: Quercus
Total Pages: 208
Release: 2013-10-01
ISBN 10: 1623651883
ISBN 13: 9781623651886
Language: EN, FR, DE, ES & NL

50 Mathematical Ideas You Really Need to Know Book Review:

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
Author: Jo Boaler,Cathy Humphreys
Publsiher: Heinemann
Total Pages: 127
Release: 2005
ISBN 10: 1928374650XXX
ISBN 13: UOM:49015002974112
Language: EN, FR, DE, ES & NL

Connecting Mathematical Ideas Book Review:

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.

Modeling Mathematical Ideas

Modeling Mathematical Ideas
Author: Jennifer M. Suh,Padmanabhan Seshaiyer
Publsiher: Rowman & Littlefield
Total Pages: 220
Release: 2016-12-27
ISBN 10: 1475817606
ISBN 13: 9781475817607
Language: EN, FR, DE, ES & NL

Modeling Mathematical Ideas Book Review:

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.

50 Maths Ideas You Really Need to Know

50 Maths Ideas You Really Need to Know
Author: Tony Crilly
Publsiher: Quercus Publishing
Total Pages: 208
Release: 2008-03-03
ISBN 10: 184916567X
ISBN 13: 9781849165679
Language: EN, FR, DE, ES & NL

50 Maths Ideas You Really Need to Know Book Review:

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.

Show and Tell

Show and Tell
Author: Linda Schulman Dacey,Rebeka Eston
Publsiher: Math Solutions
Total Pages: 232
Release: 2002
ISBN 10: 0941355500
ISBN 13: 9780941355506
Language: EN, FR, DE, ES & NL

Show and Tell Book Review:

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_____________

Magical Mathematics

Magical Mathematics
Author: Persi Diaconis,Ron Graham
Publsiher: Princeton University Press
Total Pages: 264
Release: 2015-10-13
ISBN 10: 0691169772
ISBN 13: 9780691169774
Language: EN, FR, DE, ES & NL

Magical Mathematics Book Review:

"Magical Mathematics reveals the secrets of amazing, 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. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics 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 thirteenth century and the oldest mathematical trick--and much more"-

Mathematical Ideas in Biology

Mathematical Ideas in Biology
Author: J. Maynard Smith
Publsiher: Unknown
Total Pages: 152
Release: 1968-11
ISBN 10: 1928374650XXX
ISBN 13: WISC:89036575694
Language: EN, FR, DE, ES & NL

Mathematical Ideas in Biology Book Review:

"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.

Big Ideas In Mathematics Yearbook 2019 Association Of Mathematics Educators

Big Ideas In Mathematics  Yearbook 2019  Association Of Mathematics Educators
Author: Toh Tin Lam,Yeo Joseph B W
Publsiher: World Scientific
Total Pages: 404
Release: 2019-05-21
ISBN 10: 9811205396
ISBN 13: 9789811205392
Language: EN, FR, DE, ES & NL

Big Ideas In Mathematics Yearbook 2019 Association Of Mathematics Educators Book Review:

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.

Ethnomathematics

Ethnomathematics
Author: Marcia Ascher
Publsiher: CRC Press
Total Pages: 214
Release: 1994-05-01
ISBN 10: 9780412989414
ISBN 13: 0412989417
Language: EN, FR, DE, ES & NL

Ethnomathematics Book Review:

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.

Evolution of Mathematical Concepts

Evolution of Mathematical Concepts
Author: Raymond L. Wilder
Publsiher: Courier Corporation
Total Pages: 216
Release: 2013-01-01
ISBN 10: 0486490610
ISBN 13: 9780486490618
Language: EN, FR, DE, ES & NL

Evolution of Mathematical Concepts Book Review:

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.

Mathematical Concepts

Mathematical Concepts
Author: Jürgen Jost
Publsiher: Springer
Total Pages: 312
Release: 2015-09-10
ISBN 10: 331920436X
ISBN 13: 9783319204369
Language: EN, FR, DE, ES & NL

Mathematical Concepts Book Review:

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.

What is a Mathematical Concept

What is a Mathematical Concept
Author: Elizabeth de Freitas,Nathalie Sinclair,Alf Coles
Publsiher: Cambridge University Press
Total Pages: 316
Release: 2017-06-22
ISBN 10: 1107134633
ISBN 13: 9781107134638
Language: EN, FR, DE, ES & NL

What is a Mathematical Concept Book Review:

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

Exploring Mathematical Modeling with Young Learners

Exploring Mathematical Modeling with Young Learners
Author: Jennifer M. Suh,Megan H. Wickstrom,Lyn D. English
Publsiher: Springer Nature
Total Pages: 442
Release: 2021-06-01
ISBN 10: 3030639002
ISBN 13: 9783030639006
Language: EN, FR, DE, ES & NL

Exploring Mathematical Modeling with Young Learners Book Review:

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.

Nonplussed

Nonplussed
Author: Julian Havil
Publsiher: Princeton University Press
Total Pages: 216
Release: 2010-08-02
ISBN 10: 1400837383
ISBN 13: 9781400837380
Language: EN, FR, DE, ES & NL

Nonplussed Book Review:

Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas. Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs. Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.

Handbook of International Research in Mathematics Education

Handbook of International Research in Mathematics Education
Author: Lyn D. English
Publsiher: Routledge
Total Pages: 944
Release: 2002-03
ISBN 10: 1135665796
ISBN 13: 9781135665791
Language: EN, FR, DE, ES & NL

Handbook of International Research in Mathematics Education Book Review:

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.

Concepts of Modern Mathematics

Concepts of Modern Mathematics
Author: Ian Stewart
Publsiher: Courier Corporation
Total Pages: 368
Release: 2012-05-23
ISBN 10: 0486134954
ISBN 13: 9780486134956
Language: EN, FR, DE, ES & NL

Concepts of Modern Mathematics Book Review:

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Cultural Development of Mathematical Ideas

Cultural Development of Mathematical Ideas
Author: Geoffrey B. Saxe
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2012-09-28
ISBN 10: 1139560239
ISBN 13: 9781139560238
Language: EN, FR, DE, ES & NL

Cultural Development of Mathematical Ideas Book Review:

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.

Mathematical Ideas

Mathematical Ideas
Author: Charles David Miller,Vern E. Heeren,E. John Hornsby
Publsiher: Scott Foresman & Company
Total Pages: 844
Release: 1990
ISBN 10: 1928374650XXX
ISBN 13: UCSC:32106014136912
Language: EN, FR, DE, ES & NL

Mathematical Ideas Book Review:

New edition of a standard textbook in basic mathematics for undergraduate students with little or no knowledge of algebra. Annotation copyrighted by Book News, Inc., Portland, OR

Ethnomathematics

Ethnomathematics
Author: Arthur B. Powell,Marilyn Frankenstein
Publsiher: SUNY Press
Total Pages: 440
Release: 1997-01-01
ISBN 10: 9780791433515
ISBN 13: 079143351X
Language: EN, FR, DE, ES & NL

Ethnomathematics Book Review:

Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.