دانلود کتاب Eyes on Math

فهرست مطالب :

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.