Eyes on Math A Visual Approach to Teaching Math Concepts

ISBN-10: 0807753912

ISBN-13: 9780807753910

Edition: N/A

Authors: Marian Small

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Description:

This new book is an exciting follow-up to the authors bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math!
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Book details

Publisher: Teachers College Press, Teachers College, Columbia University
Publication date: 11/30/2012
Binding: Paperback
Pages: 240
Size: 6.75" wide x 9.75" long x 0.50" tall
Weight: 1.188
Language: English

Preface
Acknowledgments
Background
Visualization in Math
Focusing on the Important Math
Building Mathematical Communication
Grades K-2
Counting Up by 1s
Counting Back by 1s
Counting Up by 2s
Counting Back by 2s
Counting Up by 5s
Counting Back by 5s
Counting Up by 10s
Counting Back by 10s
Comparing Numbers by Matching
Benchmark Numbers: All About 5
Benchmark Numbers: All About 10
Ordinal Numbers
Addition as Combining
Addition to Describe Part-Part-Whole Situations
Adding 0 and Adding 1
Addition: Commutativity
Addition: Changing Addends, But Not the Sum
Adding or Subtracting 10
Subtraction as Taking Away
Subtraction to Compare
Relating Addition and Subtraction
Naming Two-Digit Numbers
Naming Three-Digit Numbers
Place Value: Grouping in Tens
Place Value: Positions
Comparing Sizes of Numbers
Fractions: Halves
Fractions: Quarters
Measurement: Meaning of Length
Measurement: Effect of Unit Size
Measurement: Standard Units of Length
2-D Shapes Versus 3-D Shapes
Comparing 2-D Shapes
Comparing 3-D Shapes
Composing Shapes
Shape Puzzles
Grades 3-5
Multiplication: Equal Groups
Multiplication: Commutativity
Multiplication: The Distributive Principle
Multiplication: 2-Digit by 2-Digit
Division as Equal Groups or Sharing
Division: Remainders
Rounding Numbers
Place Value: Multiplying and Dividing by Powers of 10
Place Value: Renaming Numbers
Factors: What They Are
Factors: Come in Pairs
Fractions: Representing
Fractions: Equivalence
Fractions: Comparing
Fractions: Mixed Number/Improper Fraction Relationship
Fractions: Common Denominators
Adding Fractions
Multiplying Fractions
Fractions: Multiplying as Resizing
Fractions as Division
Decimals: Relating Hundredths to Tenths
Decimals: Equivalence
Decimals: Adding and Subtracting
Measurement: Time Intervals
Measurement: Area of Rectangles
Perimeter versus Area
Measurement Conversions
Graphs with Scales
Coordinate Grids
Classification of Shapes
Parallel and Perpendicular Lines
Lines of Symmetry
Patterns versus Non-patterns
Algebraic Thinking: Growing Additively
Algebraic Thinking: Shrinking Additively
Algebraic Thinking: Growing Multiplicatively
Grades 6-8
Common Factors
Common Multiples
Square Roots
Fraction Division
Ratios: Multiple Ratios Describe Any Situation
Equivalent Ratios
Equivalent Rates
Solving Rate Problems
Describing Percent
Uses of Integers
The Zero Principle
Subtraction of Integers as a Directed Distance
Multiplication and Division of Integers
Area of a Parallelogram
Area of a Triangle
The Pythagorean Theorem
Pi
How Measurements Are and Are Not Related
Mean
Variability
Sampling
Probability: What It Means
Unpredictability
Rotations, Reflections, and Translations
Scale Drawings
Dilatations
Angles with Parallel Lines
Equivalent Expressions
Equation as a Balance
Different Types of Equations
What Is Linear?
Role of the Slope in the Equation of a Line
Systems of Equations
Function Rules
Appendix: Connections Between Topics and Common Core Standards
References
Index
About the Authors
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