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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 | |
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