Topic > The Relationship Between Multiplication and Addition

Teachers should know and understand the relationship between addition and multiplication because this understanding will translate well into teaching students to understand the concept of multiplication. The relationship between these two operations is very close, so it is especially important to ensure that each student fully understands the rules of addition before proceeding to multiplication. Addition is the process of combining a number of individual elements together to form a new total. Multiplication, however, is the process of using repeated addition and combining the total number of elements that make up groups of equal size. This means that in multiplication, groups are created to represent the numbers to be multiplied, and then the groups are added to produce a total. Connecting addition to multiplication is relatively simple. In fact, teaching multiplication often begins in kindergarten as children develop ideas about numbers, addition, and groups. These experiences provide the basis of understanding for multiplication. Since addition is a precursor to multiplication, a student must be able to count elements in groups and count the number of groups, which will then help them multiply them. Through the principles of skip counting addition, repeated addition, regrouping, and number lines, students can achieve a deeper and broader understanding of multiplication. When students finally understand that multiplication and addition work under many of the same rules or properties, they will understand that addition and multiplication work under the same conditions. The strategy called skip counting will benefit students who can count by twos, fives, or tens. . Practice using skip counting...half of the paper...they are calculating using the distributive property will get them to use the language of mathematics, help them see where they are making mistakes, and help them by having a peer agree or in disagree with their answer. If the pair has different answers, they can rework the problem using the distributive property to see who is right. Sharing answers with the rest of the class will reinforce correct procedure, thus reinforcing ownership. Teaching multiplication can be made less confusing for students when the relationship between addition and multiplication is communicated and explained. By building on prior knowledge of using addition strategies and incorporating the properties of multiplication, students can achieve an in-depth knowledge of multiplication that will allow them to discover the correct product and reinforce both concepts.