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# Mathematics for Elementary School Teachers

ISBN13:

## 9780321449764

**by**Beckmann, Sybilla

0321449762

2nd

Paperback

5/31/2007

Addison-Wesley

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### Summary

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? | |

Fractions | |

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? | |

Percent | |

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 | |

Re | |

Table of Contents provided by Publisher. All Rights Reserved. |