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# Mathematics for Teachers I: Multiplication and Division Project

Algorithms for Division
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on 2 October 2012

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#### Transcript of Mathematics for Teachers I: Multiplication and Division Project

Algorithms for Division Division with base ten blocks First Step Second step Third Step Fourth Step Division with ten blocks with a remainder 40÷2 or 40/2

Example: June and Andrew are to share an inheritance of \$880. How much should each receive? To solve the problem, we want to divide 880 by 2.

First, we begin by dividing 8 hundred by 2, which gives us 4 hundred. Since we have used 8 hundred, we subtract 880 from 800 = 80. In the model, we still have \$80 to share.

Next, we share the \$80. Since 2 × 40 = 80, we need to add another 40 to our quotient. Notice we place the 40 in the proper place value above the 400. We have also subtracted 80 from 80 = 0.
The last step is to sum the two partial quotients to obtain the final quotient. This method of division is called the scaffold algorithm for long division.

June and Andrew would each receive \$440. Scaffold algorithm for division The next step is placing each long equally in both oval shape Once you do that you will get your answer which is 20. Scaffolding division with a remainder Standard division Long division with no remainders Strengths and weakness of algorithms Strengths Using base-ten blocks is a concrete way of showing division, addition, and subtraction. The youngest to the oldest of children can benefit from the hands-on experience. Scaffolding division shows instructional technique where teachers can improve a learners ability to build on prior knowledge. Such as guessing, multiplication, subtraction, and addition. Long division is the traditional way to learn division. It use to be the only way to learn how to learn divide. Long division is a procedure that engages division, multiplication, subtraction and addition. Weaknesses Base-ten blocks can become difficult when dividing more than two digit numbers. They can also become costly if using manipulatives. Scaffolding division can become difficult when the student is not proficient with multiplication or addition. It also can be time consuming while testing. The tradition way of long division can be difficult for students to learn if they are not familiar with the order of division with large numbers. http://www.free-training-tutorial.com/division-games.html Division games for kids Division dragons game
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