Mathematics for Elementary School Teachers

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  • Edition: 2nd
  • Format: Paperback
  • Copyright: 5/31/2007
  • Publisher: Addison-Wesley
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This activities manul includes activities designed to be done in class or outside of class. These activities promote critical thinking and discussion and give students a depth of understanding and perspective on the concepts presented in the text.

Table of Contents

Problem Solving
Solving Problems
A Clinking Glasses Problem
Problems about Triangular Numbers
What Is Fair Way to Split the Cost?
Explaining Solutions
Who Says You Can't Do Rocket Science?
Numbers and The Decimal System
Overview of the Number Systems
The Decimal System and Place Value
How Many Are There?
Showing Powers of Ten
Representing Decimal Numbers
Representing Decimal Numbers with Bundled Objects
Zooming In and Zooming Out on Number Lines
Representing Decimals as Lengths
Comparing Decimal Numbers
Places of Larger Value Count More than Lower Places Combined
Misconceptions in Comparing Decimal Numbers
Finding Smaller and Smaller Decimal Numbers
Finding Decimals between Decimals
Decimals between Decimals on Number Lines
"Greater Than" and "Less Than" with Negative Decimal Numbers
Rounding Decimal Numbers
Why Do We Round?
Explaining Rounding
Can We Round This Way?
Can We Round This Way?
The Meaning of Fractions
Fractions of Objects
The Whole Associated with Fraction
Is the Meaning of Equal Parts Always Clear?
Improper Fractions
Fractions as Numbers
Counting along Number Lines
Fractions on Number Lines, Part 1
Equivalent Fractions
Equivalent Fractions
Misconceptions about Fraction Equivalence
Common Denominators
Solving Problems by Changing Denominators
Fractions on Number Lines, Part 2
Simplifying Fractions
When Can We "Cancel" to Get an Equivalent Fraction?
Comparing Fractions
Can We Compare Fractions this Way?
What Is Another Way to Compare these Fractions?
Comparing Fractions by Reasoning
Can We Reason this Way?
Pictures, Percentages, and Fractions
Calculating Percents of Quantities by Using Benchmark Fractions
Calculating Percentages
Calculating Percentages with Pictures and Percent Diagrams
Calculating Percentages by Going through 1
Calculating Quantity from Percentage of It
Addition and Subtraction
Addition and Subtraction Story Problems
Solving Addition and Subtraction Story Problems
The Shopkeeper's Method of Making Change
Addition and Subtraction Story Problems with Negative Numbers
Why the Common Algorithms for Adding and Subtracting Decimal Numbers Work
Adding and Subtracting with Ten-Structured Pictures
Understanding the Common Addition Algorithm
Understanding the Common Subtraction Algorithm
Subtracting across Zeros
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