Machine generated contents note: ch. 1 Numeracy
The Importance of Representation
ch. 2 Addition and Subtraction: Models and Strategies
Addition: A "Digit Approach"
Subtraction: A "Digit Approach"
Implications for Higher Mathematics
Difference Versus Removal
ch. 5 Multiplication and Division: Models and Strategies
Multiplication: A "Digit Approach"
The Ratio Table and the Array
Multiplication Strategies
Division: A "Digit Approach"
Implications for Higher Mathematics
Using Proportional Reasoning
Chunking: The Distributive Property
Quotative and Partitive Division
Connecting Multiplication and Division
ch. 8 Decimals, Fractions, and Percents: Models and Strategies
Equivalent Fractions: The Double Number Line Model
Fraction Addition and Subtraction
Using Fractions and Decimals in Whole Number Operations
Implications for Higher Mathematics
ch. 9 Decimals and Fractions: Addition and Subtraction
Comparing Strategies: Decimals
Fraction Addition and Subtraction
Comparing Strategies: Fractions
ch. 10 Decimals and Fractions: Multiplication and Division
Comparing Strategies: Decimals
Comparing Strategies: Fractions
Conclusion: Bringing It All Together.