Math Triumphs--Foundations for Geometry

Math Triumphs--Foundations for Geometry

Author: McGraw-Hill Education

Publisher: McGraw-Hill Education

Published: 2009-01-22

Total Pages: 203

ISBN-13: 9780078908590

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Math Triumphs is an intensive intervention resource for students who are two or more years below grade level. The series accompanies Glencoe Algebra 1, Geometry, and Algebra 2 and provides step-by-step intervention, vocabulary support, and data-driven decision making to help students succeed in high school mathematics.


Math Triumphs--Foundations for Algebra 1

Math Triumphs--Foundations for Algebra 1

Author: McGraw Hill

Publisher: McGraw-Hill Education

Published: 2009-01-22

Total Pages: 0

ISBN-13: 9780078908460

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Math Triumphs is an intensive intervention resource for students who are two or more years below grade level. The series accompanies Glencoe Algebra 1, Geometry, and Algebra 2 and provides step-by-step intervention, vocabulary support, and data-driven decision making to help students succeed in high school mathematics.


Shape

Shape

Author: Jordan Ellenberg

Publisher: Penguin

Published: 2021-05-25

Total Pages: 481

ISBN-13: 1984879065

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An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.


Intersection Theory

Intersection Theory

Author: W. Fulton

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 483

ISBN-13: 3662024217

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From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference.


Street-Fighting Mathematics

Street-Fighting Mathematics

Author: Sanjoy Mahajan

Publisher: MIT Press

Published: 2010-03-05

Total Pages: 152

ISBN-13: 0262265591

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An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.


The Learning and Teaching of Geometry in Secondary Schools

The Learning and Teaching of Geometry in Secondary Schools

Author: Pat Herbst

Publisher: Taylor & Francis

Published: 2017-03-16

Total Pages: 240

ISBN-13: 1351973533

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IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.


Landmark Writings in Western Mathematics 1640-1940

Landmark Writings in Western Mathematics 1640-1940

Author: Ivor Grattan-Guinness

Publisher: Elsevier

Published: 2005-02-11

Total Pages: 1042

ISBN-13: 0080457444

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This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field


Super Smart Math

Super Smart Math

Author: Rebecca George

Publisher:

Published: 2006-12

Total Pages: 199

ISBN-13: 9781593632007

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Looking for challenging activities to jump-start your students' minds at the beginning of each math class? Look no further! Super Smart Mathprovides just the answer teachers need to grab students' attention and help prepare them for the day's lesson. Organized by mathematical topics, the book offers 180 days worth of activities, problems, and critical thinking challenges that become increasingly difficult as the students progress through each section. Super Smart Mathmakes math exciting for your brightest students by including situations and problems that are relevant to their everyday lives. Your students will look forward to math class each day!