Please enable JavaScript.
Coggle requires JavaScript to display documents.
Building Strategies for Whole-Number Computation (Development of Invented…
Building Strategies for Whole-Number Computation
Toward Computational Fluency
Direct Modeling
Invented Strategies
Creating an Environment for Inventing Strategies
Benefits of Invented Strategies
Mental Computation
Standard Algorithm
Must be Understood
Delay! Delay! Delay!
Cultural Differences in Algorithms
Development of Invented Strategies in Addition and Subtraction
Adding Multidigit Numbers
Subtraction as 'Think-Addition'
Models to Support Invented Strategies
Empty Number Lines
Bar Diagrams
Take Away Subtraction
Standard Algorithms for Addition and Subtraction
Invented Strategies for Multiplication
Multiplication by a one-digit number
Complete-Number Strategies (Including Doubling)
Partitioning Strategies
Compensation Strategies
Multiplication of Multidigit numbers
Cluster Problems
Useful Representations
Standard Algorithms for Multiplication
Begin with Models
Develop with Written Records
Partial Products
Open Array
11.2 Make it Easy (4)
Lattice Multiplication
Area Models
11.1 Build it and Break it (4)
Invented Strategies for Division
Missing Factor Strategies
Cluster Problems
Standard Algorithms for Division
Begin with Models
Develop the Written Record
Explicit-Trade Methods
Partial Quotients Using a Visual Model
Repeated Subtraction
Partition or Fair Share Model
11.3 Left Overs (4)
Two-Digit Divisors
An Intuitive Idea
Using the Idea Symbolically
Low-Stress Approach
11.4 Double, Double - No Toil or trouble! (5)
Computational Estimation
Teaching
Do not Reward
Focus on Flexible Methods, Not Answers
Accept a Range of Estimates of a Range as an Option
Ask for Information but No Answer
Use a Context
Use Estimation Language
Use Real Examples
11.5 Over or Under (3)
11.7 High or Low? (4)
11.6 That's Good Enough (4)
Strategies