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Solving Division and Multiplication in the ClassroomYolanda CarterWalden UniversityDr. Mary RobinsonMATH 6663
2Supporting Division and Multiplication in the ClassroomPart 1:Solving Division ProblemsDivision is splitting objects into equal groups. Division is the opposite of multiplication and it requires that the students have a basic understanding of place value. Students tend to have a hard time understanding division for young students. The Common Core Standards, 2010) suggests that the division algorithm with one-digit divisor is developed in fourth grade and should provide the basis for extension of two-digit divisors in fifth grade” (Van de Walle, Karp & Bay-Williams, 2016, p. 288). When teachers are beginning to teach students the process of solving division problems, there are various methods such as the scaffolding method and the standard long division algorithm, that the students can learn to help solve various problems. Teachers can teach the students how to use division as an unknown group size. The unknown group size has to deal with the “area of a rectangle is equal to its length times its width” (Laureate Education, 2013). The teachers can also show the students how to solve division problems using the unknown side length method. These two methods are similar in that they both are given the area of the rectangle and have one side or length to figure out with the other side being given. The difference between the unknown group size and the unknown side length is that the unknown group size is dividing the groups equally. When “teachers introduce the scaffolding method, they also introduce the long division touse it as a stepping-stone to the standard long division algorithm” (Beckmann, 2018, p. 242). Scaffolding method is also called the “flexible method and can be used to write the steps of the standard algorithm” Beckman, 2018, p. 240). The Standard Long Division Algorithm focuses on“several elements; how to break numbers apart by place value, how to work with a number part” (Beckmann, 2018, p. 242). These two methods are very similar to each other. The Scaffolding
3Supporting Division and Multiplication in the Classroommethod and the Long Division Algorithm breaks the numbers into chunks so that it is easier for the students to solve the problem. Another way that Scaffolding method and Standard Long Division is similar is that both methods require the students to place the number that they are dividing underneath the division bar with the number you are dividing it by to the left of the division bar. Also, both methods can be used by the students to solve real-word problems.