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Helping Children B uild M ental M ath and Computation Strategies

Helping Children B uild M ental M ath and Computation Strategies. What are ?. Classroom conversations around purposefully crafted computation problems that are solved mentally.

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Helping Children B uild M ental M ath and Computation Strategies

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  1. Helping Children Build Mental Math and Computation Strategies

  2. 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.

  3. Key Components of Number Talks • Classroom environment and community • Classroom discussions • The teacher’s role • The role of mental math • Purposeful computation problems

  4. Classroom Environment and Community Safe Risk-free Acceptance

  5. Benefits of Sharing and Discussing Computation Strategies • Students clarify their own thinking • Students 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.

  6. The Teacher’s Role Facilitator 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?” Ask students to justify and clarify their answers

  7. 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

  8. 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+2 8+2+3 8+5+2 8+4+2+6 20+20 19+19 19+21 19+17

  9. Procedures and Expectations Essential to Number Talks

  10. Four Goals for K-2 Number Talks • Developing number sense • Developing fluency with small numbers • Subitizing • Making Tens

  11. Fluency Number Talks Using Dot Images • Fluency Number Talks Using Rekenreks • Fluency Number Talks Using Five and Ten Frames

  12. Continue to use dot plates, rekenreks, and ten frames. Record equations to match students thinking. • Counting all/Counting on • Making Tens • Doubles/Near Doubles • Landmark or Friendly Numbers

  13. 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 Tens • Doubles/Near Doubles • Landmark or Friendly Numbers • Breaking Each Number into its Place Value • Compensation • Adding Up in Chunks • Removal

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