Summary: The goal of this text is to provide prospective elementary teachers with a deep understanding of the mathematics they will be called on to teach. Through a careful, mathematically precise development of concepts, this text asks that students go beyond simply knowing how to carry out mathematical procedures. Students must also be able to explain why mathematics works the way it does. Being able to explain why is a vital skill for teachers. Through activities, examples
and applications, the author expects students to write and solve problems, make sense of the mathematics, and write clear, logical explanations of the mathematical concepts. The accompanying Activities Manual promotes engagement, exploration, and discussion of the material, rather than passive absorption. Both students and instructors should find this material fun, interesting, and rewarding.
Summary: The goal of this text is to provide prospective elementary teachers with a deep understanding of the mathematics they will be called on to teach. Through a careful, mathematically precise development of concepts, this text asks that students go beyond simply knowing how to carry out mathematical procedures. Students must also be able to explain why mathematics works the way it does. Being able to explain why is a vital skill for teachers. Through activities, examples and applications, the author expects students to write and solve problems, make sense of the mathematics, and write clear, logical explanations of the mathematical concepts. The accompanying Activities Manual promotes engagement, exploration, and discussion of the material, rather than passive absorption. Both students and instructors should find this material fun, interesting, and rewarding. ...show less
Edition/Copyright:05 Cover: Hardback Publisher:Addison-Wesley Longman, Inc. Published: 02/16/2005 International: No
View Table of Contents
1. Problem Solving.
2. Numbers and the Decimal System.
Introduction to the Number Systems.
The Decimal System and Place Value.
Representing Decimal Numbers.
Comparing Sizes of Decimal Numbers.
Rounding Decimal Numbers.
The Meaning of Fractions.
Fractions as Numbers.
Comparing Sizes of Fractions.
4. Addition and Subtraction.
Interpretations of Addition and Subtraction.
The Algorithms for Adding and Subtracting.
Adding and Subtracting Fractions.
When Do We Add Percentages?
Percent Increase and Percent Decrease.
The Commutative and Associative Properties and Mental Math.
The Meaning of Multiplication.
Why Multiplying Decimal Numbers by 10 Is Easy.
Multiplication and Areas of Rectangles.
The Commutative Property of Multiplication.
Multiplication and Volumes of Boxes.
The Associative Property of Multiplication.
The Distributive Property.
Mental Math, Properties of Arithmetic, and Algebra.
Why the Procedure for Multiplying Works.
6. Multiplication of Fractions, Decimals, and Negative Numbers.
Multiplying Negative Numbers.
The Meaning of Division.
Understanding Long Division.
Fractions and Division.
Ratio and Proportion.
Circles and Spheres.
Quadrilaterals and Other Polygons.
Constructions With Straightedge and Compass.
Polyhedra and Other Solid Shapes.
9. Geometry of Motion and Change.
Reflections, Translations, and Rotations.
The Concept of Measurement.
Error and Accuracy in Measurements.
Length, Area, Volume, and Dimension.
Calculating Perimeter, Area, and Volume.
Comparing Sizes of Objects.
Converting From one Unit of Measurement to Another.
11. More About Area and Volume.
The Moving and Combining Principles About Area.
The Pythagorean Theorem.
Approximating Areas of Irregular Shapes.
Cavalieri's Principle About Shearing and Area.
Areas of Triangles.
Areas of Parallelograms.
Areas of Circles and the Number Pi.
Relating the Perimeter and Area of a Shape.
Principles for Determining Volumes.
Volumes of Solid Shapes.
Areas, Volumes, and Scaling.
12. Number Theory.
Factors and Multiples.
Greatest Common Factor and Least Common Multiple.
Even and Odd.
Rational and Irrational Numbers.
13. Functions and Algebra.
Mathematical Expressions, Formulas, and Equations.
Solving Equations With Pictures and With Algebra.
Designing Investigations and Gathering Data.
Displaying Data and Interpreting Data Displays.
The Center of Data: Mean, Median and Mode.
The Spread of Data: Percentiles.
Basic Principles and Calculation Methods of Probability.
Calculating Probabilities by considering the Ideal Outcome.
Our feedback rating says it all: Five star service and fast delivery! We have shipped four million items to happy customers, and have one MILLION unique items ready to ship today!
$7.28 +$3.99 s/h
One Planet Books Columbia, MO
Ships same day or next business day! UPS expedited shipping available (Priority Mail for AK/HI/APO/PO Boxes). Used sticker & some writing and/or highlighting. Used books may not include working access...show more code or dust jacket ...show less
$8.46 +$3.99 s/h
Better World Books Mishawaka, IN
Book in almost Brand New condition. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!
$36.95 +$3.99 s/h
Books Revisited Chatham, NJ
Possible retired library copy, some have markings or writing. May or may not include accessories such as CD or access codes.
$37.18 +$3.99 s/h
Books Revisited Chatham, NJ
$40.99 +$3.99 s/h
SUPER BOOKS Fort Mill, SC
Buy with Confidence. Excellent Customer Support. We ship from multiple US locations. No CD, DVD or Access Code Included.
$53.69 +$3.99 s/h
GreatBookPrices Montgomery, IL
Used, Acceptable Condition, may show signs of wear and previous use. Please allow 4-14 business days for delivery. 100% Money Back Guarantee, Over 1,000,000 customers served.
$55.00 +$3.99 s/h
Mom's Resale River Hills, WI
0321357736 BRAND NEW! SEALED! Hard Cover with Activities Manual.
Free Shipping Get Free Shipping on orders over $25 (not including Rental and Marketplace). Order arrives in 5-10 business days.
Need it faster? We offer fast, flat-rate expedited shipping options.
Not the right book for you? We'll gladly take it back within 30 days.
To return an eTextbook:
Your eTextbook is non-returnable once it's been activated. You must contact us about returning your eTextbook before you activate it.
Returns are accepted within 30 days of the purchase date on your order confirmation.
This book qualifies for guaranteed cash back! Buy it now for , then:
Sell it back by:
Guaranteed cash back:
Cost of this book after cash back:
Take advantage of Guaranteed Cash Back. Send your book to us in good condition before the end of the buyback period, we'll send YOU a check, and you'll pay less for your textbooks!
If you find this book for less on Amazon.com (direct from Amazon, not marketplace sellers), we'll match it.
In our warehouse, waiting to ship directly to you.
We hand-inspect every used textbook to make sure it's in good condition.
Buy it now. Sell it later!
Sell this textbook for cash!
When you're done with this book, sell it back to Textbooks.com. In addition to the best possible buyback price, you'll get an extra 10% cash back just for being a customer.
We buy good-condition used textbooks year 'round, 24/7. No matter where you bought it, Textbooks.com will buy your textbooks for the most cash.
We hand-inspect every one of our used textbooks to ensure good condition.
Our used textbooks do NOT have:
Missing or torn pages
Missing or torn cover
Torn or damaged binding
A broken spine
This textbook has never been used.
Due to the size of eTextbooks, a high-speed internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.
Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet duringthe download process.
XP or Windows 7 (32 or 64 running in 32 bit mode), or Mac OS 10.6 or above
At least 512 MB RAM, 600 mHZ processor, and 40 MB of hard drive space (75MB for Mac OS)
What is the Marketplace? It's another way for you to get the right price on the books you need. We approved every Marketplace vendor to sell their books on Textbooks.com, so you know they're all reliable.
What are Marketplace shipping options? Marketplace items do not qualify for free shipping. When ordering from the Marketplace, please specify whether you want the seller to send your book Standard ($3.99/item) or Express ($6.99/item). To get free shipping over $25, just order directly from Textbooks.com instead of through the Marketplace.
FREE UPS 2nd Day Air Terms
Rental and Marketplace items are excluded. Offer is valid from 1/21/2013 12:00PM to 1/23/2013 11:59AM CST. Your order must be placed by 12 Noon CST to be processed on the same day. Minimum order value is $100.00 excluding Rental and Marketplace items. To redeem this offer, select "FREE UPS 2ND DAY AIR" at checkout. Offer not is not valid on previous orders.