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Helping Children B uild M ental M ath and Computation Strategies. What are ?. Classroom conversations around purposefully crafted computation problems that are solved mentally. - PowerPoint PPT Presentation
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What are ?
Classroom conversations around purposefully crafted computation problems that are solved mentally.
The problems in a number talk are designed to elicit specific strategies that focus on number relationships.
Students solve problems accurately, efficiently, and flexibly.
Can be conducted in 5-15 minutes.
Key Components of Number Talks
Classroom environment and community
Classroom discussionsThe teacher’s roleThe role of mental mathPurposeful computation problems
Benefits of Sharing and Discussing Computation
StrategiesStudents clarify their own thinkingStudents consider and test other
strategies to see if they are mathematically logical
Students investigate and apply mathematical relationships
Students build a repertoire of efficient strategies
Students make decisions about choosing efficient strategies for specific problems.
The Teacher’s Role
Facilitator
Ask
students to
justify and
clarify their
answers
Guide the students to
ponder and discuss
examples that build
upon your purposes
“How did you get your
answer?” “Is there
another way to solve
it?”
The Role of
Encourages students to build on number relationships to solve problems instead of relying on memorized procedures
Help strengthen students understanding about place value because they are forced to look at numbers as whole quantities instead of discrete columns of digits
Purposeful Computation Problems
Select problems that guide students to focus on mathematical relationships
Requires careful planning to design just the right problems for the students
8+28+2+38+5+28+4+2+6
20+2019+1919+2119+17
Four Goals for K-2 Number Talks
Developing number senseDeveloping fluency with small numbersSubitizingMaking Tens
Fluency Number Talks Using Dot Images Fluency Number Talks Using Rekenreks Fluency Number Talks Using Five and Ten
Frames
Continue to use dot plates, rekenreks, and ten frames. Record equations to match students
thinking.
Counting all/Counting onMaking TensDoubles/Near DoublesLandmark or Friendly Numbers
Counting all/Counting on are entry-level strategies for addition. For this reason if
students share this method as their strategy, honor their thinking but make connections to
more efficient strategies.Making TensDoubles/Near DoublesLandmark or Friendly NumbersBreaking Each Number into its Place ValueCompensationAdding Up in ChunksRemoval