Good Math

A Geek's Guide to the Beauty of Numbers, Logic, and Computation


Author: Mark C. Chu-Carroll

Publisher: Pragmatic Bookshelf

ISBN: 168050360X

Category: Computers

Page: 282

View: 2982

Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you. Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular "Good Math" blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird. Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing. If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you.

How to Be Good at Math


Author: DK

Publisher: Penguin

ISBN: 1465445684

Category: Juvenile Nonfiction

Page: 320

View: 4150

How to Be Good at Math uses an innovative visual approach to explain and define all the basic math concepts taught in schools for children aged 7-11. Unlike other math guides, dictionaries, and workbooks, How to Be Good at Math presents topics in dynamic, colorful graphics reinforced by real-life examples and fascinating facts. Ranging from second-grade topics such as learning odd and even numbers to harder sixth-grade-level problems like angles and algebra formulas, the innovative, highly visual approach makes basic math easier to understand than ever before. How to Be Good at Math is perfect for reluctant mathematicians, as well as providing a fun, reliable reference to look things up.

The Good School

How Smart Parents Get Their Kids the Education They Deserve


Author: Peg Tyre

Publisher: Henry Holt and Company

ISBN: 1429996978

Category: Education

Page: 256

View: 5335

Award-winning education journalist Peg Tyre mines up-to-the-minute research to equip parents with the tools and knowledge necessary to get their children the best education possible We all know that the quality of education served up to our children in U.S. schools ranges from outstanding to shockingly inadequate. How can parents tell the difference? And how do they make sure their kids get what's best? Even the most involved and informed parents can feel overwhelmed and confused when making important decisions about their child's education. And the scary truth is that evaluating a school based on test scores and college admissions data is like selecting a car based on the color of its paint. Synthesizing cutting-edge research and firsthand reporting, Peg Tyre offers parents far smarter and more sophisticated ways to assess a classroom and decide if the school and the teacher have the right stuff. Passionate and persuasive, The Good School empowers parents to make sense of headlines; constructively engage teachers, administrators, and school boards; and figure out the best option for their child—be that a local public school, a magnet program, a charter school, homeschooling, parochial, or private.

Mathematics Teachers at Work

Connecting Curriculum Materials and Classroom Instruction


Author: Janine T. Remillard,Beth A. Herbel-Eisenmann,Gwendolyn M. Lloyd

Publisher: Routledge

ISBN: 1135855633

Category: Education

Page: 400

View: 8309

This book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.

Math Study Skills Workbook


Author: Paul D. Nolting

Publisher: Cengage Learning

ISBN: 1133171435

Category: Mathematics

Page: 144

View: 3046

Help your students become more effective at studying and learning mathematics with the MATH STUDY SKILLS WORKBOOK, Fourth Edition. Typically used as an a course supplement, the Nolting strategy helps students identify their strengths, weaknesses, and personal learning styles and then presents an easy-to-follow system to help them become more successful at math. The new edition of this best-selling workbook offers proven study tips, test-taking strategies, and recommendations for reducing math anxiety and improving grades. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Building a Math-Positive Culture

How to Support Great Math Teaching in Your School (ASCD Arias)


Author: Cathy L. Seeley

Publisher: ASCD

ISBN: 1416622497

Category: Education

Page: 64

View: 8206

Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, turns the spotlight on administrative leaders who are seeking to improve their math programs, offering an overview of what an effective program looks like and examples of actions to take to achieve that goal. Building a Math-Positive Culture addresses the following topics: * The three components necessary for a successful math program. * How to recognize, support, and evaluate effective teachers. * Steps to take to move from grand ideas to concrete results. * How to approach obstacles to achieving your goal. Along with the companion book for teachers Making Sense of Math, this book is an essential tool for leaders facing the critical task of revising their math program to develop flexible mathematical thinkers able to meet the demands of the 21st century.

Good Questions for Math Teaching

Why Ask Them and what to Ask, Grades 5-8


Author: Lainie Schuster,Nancy Canavan Anderson

Publisher: Math Solutions

ISBN: 0941355691

Category: Education

Page: 195

View: 9344

"Good Questions" - or open-ended questions - promote students' mathematical thinking, understanding, and proficiency. By asking careful, purposeful questions, teachers create dynamic learning environments, help students make sense of math, and unravel misconceptions. This valuable book includes a wide variety of good questions for classroom use and offers teachers tips on how to createopen-ended questions of their own.

Good Questions for Math Teaching

Why Ask Them and what to Ask, K-6


Author: Peter Sullivan,Pat Lilburn

Publisher: Math Solutions

ISBN: 0941355519

Category: Education

Page: 103

View: 5579

Provides tips and advice for teachers on creating effective open-ended questions for use in the mathematics classroom.

The Little Green Math Book

30 Powerful Principles for Building Math and Numeracy Skills (3rd Edition)


Author: Brandon Royal

Publisher: Maven Publishing

ISBN: 1897393520

Category: Mathematics

Page: 284

View: 1836

The Little Green Math Book helps readers build essential math and numeracy skills and is suitable for the everyday student, test-prep candidate, or working professional in need of a refresher course. The book's four chapters include: (1) Basic Numeracy Ingredients, (2) Wonderful Math Recipes, (3) Favorite Numeracy Dishes, and (4) Special Math Garnishments. Thirty principles of math highlight common themes among different types of problems and each problem is rated according to a three-tier system - one chili (mild), two chilies (hot), and three chilies (very hot).