Eyes on Math

Cover 
 Contents
 Preface
 Acknowledgments
 CHAPTER 1: Background
 VISUALIZATION IN MATH
 FOCUSING ON THE IMPORTANT MATH
 BUILDING MATHEMATICAL COMMUNICATION
 CHAPTER 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 SUMADDING 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
 CHAPTER 3: Grades 3-5
 MULTIPLICATION: EQUAL GROUPS. MULTIPLICATION: COMMUTATIVITYMULTIPLICATION: 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 TENTHSDECIMALS: 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
 CHAPTER 4: Grades 6-8
 COMMON FACTORS
 COMMON MULTIPLES
 SQUARE ROOTS
 FRACTION DIVISION. RATIOS: MULTIPLE RATIOS DESCRIBE ANY SITUATIONEQUIVALENT 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 MEASURES 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.