Common Sense Mathematics Second Edition

Author : Ethan D. Bolker,Maura B. Mast
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 55,7 Mb
Release : 2021-01-21
Category : Education
ISBN : 9781470461348

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Common Sense Mathematics: Second Edition by Ethan D. Bolker,Maura B. Mast Pdf

Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.

Author : Ethan Bolker
Publisher : Unknown
Page : 640 pages
File Size : 53,9 Mb
Release : 1948-02-05
Category : Electronic
ISBN : 1133610536

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Common Sense Mathematics by Ethan Bolker Pdf

Author : Jay Wengrow
Publisher : Pragmatic Bookshelf
Page : 714 pages
File Size : 42,8 Mb
Release : 2020-08-10
Category : Computers
ISBN : 9781680508055

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A Common-Sense Guide to Data Structures and Algorithms, Second Edition by Jay Wengrow Pdf

Algorithms and data structures are much more than abstract concepts. Mastering them enables you to write code that runs faster and more efficiently, which is particularly important for today’s web and mobile apps. Take a practical approach to data structures and algorithms, with techniques and real-world scenarios that you can use in your daily production code, with examples in JavaScript, Python, and Ruby. This new and revised second edition features new chapters on recursion, dynamic programming, and using Big O in your daily work. Use Big O notation to measure and articulate the efficiency of your code, and modify your algorithm to make it faster. Find out how your choice of arrays, linked lists, and hash tables can dramatically affect the code you write. Use recursion to solve tricky problems and create algorithms that run exponentially faster than the alternatives. Dig into advanced data structures such as binary trees and graphs to help scale specialized applications such as social networks and mapping software. You’ll even encounter a single keyword that can give your code a turbo boost. Practice your new skills with exercises in every chapter, along with detailed solutions. Use these techniques today to make your code faster and more scalable.

Author : John Stillwell
Publisher : CRC Press
Page : 312 pages
File Size : 52,5 Mb
Release : 2018-04-27
Category : Mathematics
ISBN : 9780429998034

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Yearning for the Impossible by John Stillwell Pdf

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.

Author : Marja Van den Heuvel-Panhuizen
Publisher : Springer Nature
Page : 348 pages
File Size : 53,7 Mb
Release : 2020-01-06
Category : Education
ISBN : 9783030338244

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National Reflections on the Netherlands Didactics of Mathematics by Marja Van den Heuvel-Panhuizen Pdf

This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.

Author : Philip J. Davis
Publisher : CRC Press
Page : 292 pages
File Size : 52,8 Mb
Release : 2006-11-30
Category : Mathematics
ISBN : 9781439864326

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Mathematics & Common Sense by Philip J. Davis Pdf

From the Preface: This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play.

Author : Theodore G. Faticoni
Publisher : John Wiley & Sons
Page : 360 pages
File Size : 45,9 Mb
Release : 2012-04-17
Category : Mathematics
ISBN : 9781118204481

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The Mathematics of Infinity by Theodore G. Faticoni Pdf

Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,8 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9789814476874

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Entropy Demystified by Anonim Pdf

Author : Anthony Ralston,Philip Rabinowitz
Publisher : Courier Corporation
Page : 644 pages
File Size : 50,9 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 048641454X

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A First Course in Numerical Analysis by Anthony Ralston,Philip Rabinowitz Pdf

Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

Author : Boaventura de Sousa Santos
Publisher : Cambridge University Press
Page : 699 pages
File Size : 51,5 Mb
Release : 2020-10
Category : Law
ISBN : 9781107157842

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Toward a New Legal Common Sense by Boaventura de Sousa Santos Pdf

In a period of paradigmatic transition, Toward a New Legal Common Sense aims to devolve to law its emancipatory potential.

Author : David Lippman
Publisher : Unknown
Page : 0 pages
File Size : 42,7 Mb
Release : 2012-09-07
Category : Electronic books
ISBN : 1479276537

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Math in Society by David Lippman Pdf

Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.

Author : Ben Orlin
Publisher : Black Dog & Leventhal
Page : 556 pages
File Size : 41,8 Mb
Release : 2018-09-18
Category : Mathematics
ISBN : 9780316509022

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Math with Bad Drawings by Ben Orlin Pdf

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Author : Daniel J. Velleman
Publisher : Cambridge University Press
Page : 401 pages
File Size : 40,9 Mb
Release : 2006-01-16
Category : Mathematics
ISBN : 9780521861243

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How to Prove It by Daniel J. Velleman Pdf

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

Author : Eric Gutstein,Bob Peterson
Publisher : Rethinking Schools
Page : 192 pages
File Size : 52,7 Mb
Release : 2005
Category : Mathematics
ISBN : 9780942961546

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Rethinking Mathematics by Eric Gutstein,Bob Peterson Pdf

In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

Author : Caleb Gattegno
Publisher : Unknown
Page : 129 pages
File Size : 52,9 Mb
Release : 1974
Category : Mathematics
ISBN : 0878250247

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The Common Sense of Teaching Mathematics by Caleb Gattegno Pdf

"Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience."C. Gattegno