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Fostering Multiplicative Thinking using Array-Based Materials

Young- Loveridge 2005. Fostering Multiplicative Thinking using Array-Based Materials. "IF YOU CAN'T MODEL IT.... DON'T TEACH IT !

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Fostering Multiplicative Thinking using Array-Based Materials

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  1. Young-Loveridge 2005 Fostering Multiplicative Thinking using Array-Based Materials

  2. "IF YOU CAN'T MODEL IT.... DON'T TEACH IT! • I heard myself saying this to a teacher who had commented "Why not just teach them the way to multiply fractions!" I get similar stances on the algorithms of adding, subtracting, dividing, long multiplication, cross multiplying proportions, adding zeros for x10, 100, 1000, times-flip for dividing fractions, moving decimal points, the integer rules for arithmetic, rounding and so on. • Blind application is a meaningless process. That was why all the prices in the shop had $12.50 added to them. That's why students can do fractions in class but not in the test. That is why 8+5=13 and 7x8=56 are so darned hard to remember. That is why students who get a score out of 100 in a test ask what is the percentage mark. Give students access to answers through strategies. • Attempt the understanding first by modeling. Students not trained to this approach will squirm a bit because they have to think. Teachers do the same at every level! Teach your students to look for patterns and to make a rule about those patterns. Testing of the rule and subsequent modification completes the process and secures the understanding. Share and explain your reasoning with another person (good literacy strategy). • The skill of the teacher is to create the situation whereby the student creates the correct rules and in doing so becomes a curious lifelong learner. It is very easy to give them the rule but that is not what being a teacher is all about...is it? Maintain learning though fun activities like games. Jim Hogan 2005

  3. WHAT ARE MULTIPLICATION WORDS? How many is three times four? 4 + 4 + 4 = Three times Four TIMES Sets of Groups of Packets of Rows of Columns of Multiply by

  4. Arrays I use

  5. Activities

  6. Mathletics

  7. Nrich Some Favorites: Numerically Equal My New Patio Geoboards Tiling Framed Warmsnug Double Glazing

  8. Interactive Manipulatives: Echalk, NLVM

  9. Multi Digit Multiplication Decimal Multiplication

  10. National Library of Virtual Manipulatives

  11. Integers

  12. Fractions

  13. Algebra

  14. Quiz Time

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