Chapter 6
Multiplication
Reasoning
Much of this chapter explores alternative strategies which involve using the distributive property of muliplication over subtraction in solving problem strings, which helps students learn to think algebraically by "constructing mental numerical relationship that they then generalize to algebraic expressions" (p. 81).
Doubling and Having
Using the associative property to double and halve problems. Simplifying a multiplication problem bydoubling one of the numbers and then halfing the other.