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Eyes on math : a visual approach to teaching math concepts

Author: Marian Small; Amy Lin
Publisher: New York : Teachers College, Columbia University ; Reston, VA : National Council of Teachers of Mathematics, Toronto, ON : Distributed in Canada by Nelson Education [2013] ©2013
Edition/Format:   Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Marian Small; Amy Lin
ISBN: 9780807753910 0807753912
OCLC Number: 810039741
Notes: "Includes connections to Common Core Standards."--Cover.
Description: ix, 230 pages : illustrations (some color) ; 26 cm
Contents: 1. Background --
Visualization in Math --
Focusing on the Important Math --
Building Mathematical Communication --
2. 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 the Length. Contents note continued: 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 --
3. 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. Contents note continued: 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 --
4. 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. Contents note continued: 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.
Responsibility: Marian Small ; illustrations by Amy Lin.

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