Solutions for EBK MATHEMATICS FOR ELEMENTARY TEACHERS
Problem 1P:
In your own words, discuss the connection between the counting numbers as list and the counting...Problem 2P:
If you give a child in kindergarten or first grade a bunch of beads or other small objects and ask...Problem 3P:
For each of the following collections of small objects, draw a simple picture and write a brief...Problem 4P:
In your own words, describe how you can use collections of objects (such as toothpicks or Popsicle...Problem 5P:
In your own words, discuss the beginning ideas of place value and the base-ten system that young...Problem 6P:
Children sometimes mistakenly read the number 1001 as “one hundred one.” Why do you think a child...Problem 7P:
Explain why the bagged and loose toothpicks pictured in Figure 1.14 are not organized in a way that...Problem 8P:
Describe key features of the base-ten system. Compared to more primitive ways of writing numbers,...Browse All Chapters of This Textbook
Chapter 1.1 - The Counting NumbersChapter 1.2 - Decimals And Negative NumbersChapter 1.3 - Reasoning To Compare Numbers In Base TenChapter 1.4 - Reasoning About RoundingChapter 2.2 - Defining And Reasoning About FractionsChapter 2.3 - Reasoning About Equivalent FractionsChapter 2.4 - Reasoning To Compare FractionsChapter 2.5 - Reasoning About PercentChapter 3.1 - Interpretations Of Addition And SubtractionChapter 3.2 - The Commutative And Associative Properties Of Addition, Mental Math, And Single-digit Facts
Chapter 3.3 - Why The Standard Algorithms For Addition And Subtraction In Base Ten WorkChapter 3.4 - Reasoning About Fraction Addition And SubtractionChapter 3.5 - Why We Add And Subtract With Negative Numbers The Way We DoChapter 4.1 - Interpretations Of MultiplicationChapter 4.2 - Why Multiplying By 10 Is Special In Base TenChapter 4.3 - The Commutative And Associative Properties Of Multiplication, Areas Of Rectangles, And VolumesChapter 4.4 - The Distributive PropertyChapter 4.5 - Properties Of Arithmetic, Mental Math, And Single-digit Multiplication FactsChapter 4.6 - Why The Standard Algorithm For Multiplying Whole Numbers WorksChapter 5.1 - Making Sense Of Fraction MultiplicationChapter 5.2 - Making Sense Of Decimal MultiplicationChapter 5.3 - Extending Multiplication To Negative NumbersChapter 5.4 - Powers And Scientific NotationChapter 6.1 - Interpretations Of DivisionChapter 6.2 - Division And Fractions And Division With RemainderChapter 6.3 - Why Division Algorithms WorkChapter 6.4 - Fraction Division From The How-many-groups PerspectiveChapter 6.5 - Fraction Division From The How-many-units-in-1-group PerspectiveChapter 6.6 - Dividing DecimalsChapter 7.1 - Motivating And Defining Ratio And Proportional RelationshipsChapter 7.2 - Solving Proportion Problems By Reasoning With Multiplication And DivisionChapter 7.3 - The Values Of A Ratio: Unit Rates And MultipliersChapter 7.4 - Proportional RelationshipsChapter 7.5 - Proportional Relationships Versus Inversely Proportional RelationshipsChapter 7.6 - Percent Revisited: Percent Increase And DecreaseChapter 8.1 - Factors And MultiplesChapter 8.2 - Even And OddChapter 8.3 - Divisibility TestsChapter 8.4 - Prime NumbersChapter 8.5 - Greatest Common Factor And Least Common MultipleChapter 8.6 - Rational And Irrational NumbersChapter 9.1 - Numerical ExpressionsChapter 9.2 - Expressions With VariablesChapter 9.3 - EquationsChapter 9.4 - Solving Algebra Word Problems With Strip Diagrams And With AlgebraChapter 9.5 - SequencesChapter 9.6 - FunctionsChapter 9.7 - Linear And Other RelationshipsChapter 10.1 - Lines And AnglesChapter 10.2 - Angles And Phenomena In The WorldChapter 10.3 - Circles And SpheresChapter 10.4 - Triangles, Quadrilaterals, And Other PolygonsChapter 11.1 - Concepts Of MeasurementChapter 11.2 - Length, Area, Volume, And DimensionChapter 11.3 - Error And Precision In MeasurementsChapter 11.4 - Converting From One Unit Of Measurement To AnotherChapter 12.1 - Areas Of Rectangles RevisitedChapter 12.2 - Moving And Additivity Principles About AreaChapter 12.3 - Areas Of TrianglesChapter 12.4 - Areas Of Parallelograms And Other PolygonsChapter 12.5 - Shearing: Changing Shapes Without Changing AreaChapter 12.6 - Area And Circumference Of Circles And The Number PiChapter 12.7 - Approximating Areas Of Irregular ShapesChapter 12.8 - Contrasting And Relating The Perimeter And Area Of ShapesChapter 12.9 - Using The Moving And Additivity Principles To Prove The Pythagorean TheoremChapter 13.1 - Polyhedra And Other Solid ShapesChapter 13.2 - Patterns And Surface AreaChapter 13.3 - Volumes Of Solid ShapesChapter 13.4 - Volume Of Submersed Objects Versus Weight Of Floating ObjectsChapter 14.1 - Reflections, Translations, And RotationsChapter 14.2 - SymmetryChapter 14.3 - CongruenceChapter 14.4 - Constructions With Straightedge And CompassChapter 14.5 - SimilarityChapter 14.6 - Dilations And SimilarityChapter 14.7 - Areas, Volumes, And SimilarityChapter 15.1 - Formulating Statistical Questions, Gathering Data, And Using SamplesChapter 15.2 - Displaying Data And Interpreting Data DisplaysChapter 15.3 - The Center Of Data: Mean, Median, And ModeChapter 15.4 - Summarizing, Describing, And Comparing Data DistributionsChapter 16.1 - Basic Principles Of ProbabilityChapter 16.2 - Counting The Number Of OutcomesChapter 16.3 - Calculating Probabilities Of Compound EventsChapter 16.4 - Using Fraction Arithmetic To Calculate Probabilities
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For courses in Math for Future Elementary Teachers. Empowering Tomorrow’s Math Teachers Mathematics for Future Elementary Teachers , 5 th Edition connects the foundations of teaching elementary math and the “why” behind procedures, formulas and reasoni
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