Wednesday, July 8, 2015

Teaching for Mastery of Multiplication

How else is there to teach students multiplication facts besides the traditional memorization? In the article they promote teaching students multiplication through contextual situations, so that students will improve their computational skills. Just as we have learned about addition and subtraction, students must have an understanding of what the “multiplication sign” means and what it represents, so that they can develop strategies to solve problems.

Very few students are able to memorize all of their multiplication facts and then use them in a problem solving situation. This is why it is so important for teachers to teach meaningful ways for students to understand and be able to manipulate multiplication problems. The article suggest four steps to teaching multiplication, “introducing the concepts through problem situations and linking new concepts to prior knowledge, providing concrete experiences and semi-concrete representation prior to purely symbolic notation, teaching rules explicitly, and providing mixed practice” (Wallace and Gurganus, p 29). We must begin by teaching students understand multiplication through real world problems, which is the opposite approach from the traditional method of memorizing and then looking at real world problems. It is important that students have opportunities to use manipulatives to grasp the concept of what is taking place in a multiplication problem. They must be taught the rule of 0 and 1 as well. The most effective way to teach these rules are examples paired with strong teacher language, for example the rule of the 1’s in multiplication. Last, teachers can provide some mix drill practice to promote fluency.

We want to teach student to understand and not just memorize. If we change our multiplication teaching and allow students opportunities to develop understanding and “encourage them to use personal strategies for learning the facts and developing automaticity” (Wallace and Gurganus , p 33) students will develop a positive attitude toward multiplication. A positive attitude will in turn have an effective impact on their mathematics education.

Work Cited


Wallace, A. H., & Gurganus, S. P. (2005).  Teaching for mastery of multiplication. Teaching Children Mathematics, 12(1) 26 – 33.

1 comment:

  1. Lindsey,

    This post was very meaningful to me. I am moving up to third grade this year, (from second,) and have been looking for ways to teach multiplication and what that may look like, the way we have been learning in this course. I really enjoyed reading this and I can envision how I may teach this concept next year. It is important to me that my students are understanding and not memorizing, as you said. I am looking forward to implementing this and giving my students that positive multiplication attitude!

    Excellent post!

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