# Shared Flashcard Set

## Details

Math Quiz 3
Ch. 12 Quiz Notes
12
Education
03/07/2013

Term
Definition
 They are:1) Clever strategies for computing2) Transitions to adjacent position (regrouping)3) Based on performing the operation on one place value at a time.
Term
 What are three types of computational strategies?
Definition
 - Direct modeling- Student invented strategies- Traditional algorithms
Term
 What is direct modeling?
Definition
 It is the use of manipulatives or drawing, along with counting, to represent directly the meaning of an operation.
Term
 What is student-invented strategies?
Definition
 It is any strategy other than traditional algorithm or does not involve the use of physical materials or counting by ones is an invented strategy.
Term
 How does invented strategies contrast with traditional algorithms?
Definition
 1)Invented strategies are number orientated rather than digit oriented.2)Invented strategies start with the largest parts of numbers those represented by the leftmost digits.3)Invented strategies tend to change with the numbers involved in order to make the computation easier.
Term
 What are the benefits of student invented strategies?
Definition
 - Students make fewer mistakes.- Less reteaching is required.- Students develop number sense.- Invented strategies are the basis for mental computation and estimation.- Flexible methods are often faster than traditional algorithms.- Students who invent their own strategy are involved in the process of making sense of math.
Term
 How do you develop student-invented strategies?
Definition
 The teacher must FACILITATE the development of strategies.
Term
 What does a traditional algorithm require an understanding of?
Definition
 1) Regrouping2) Trade - Younger students
Term
 How can you help a student with the subtration algorithm?
Definition
 Use manipulatives - Ex. Ten sticks activity
Term
 What are student-invented strategies for multiplication?
Definition
 Ability to break numbers apart in flexible ways is even more important for multiplication.
Term
 What can we think of division?
Definition
 We can think of division as sharing or repeated subtraction.
Term
 Why should I remember before teaching the algorithm for ANY operation?
Definition
 Students need to have a CONCRETE understanding of WHY and HOW they work.
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