Some games should be used when students are first learning to multiply and needs hands-on practice, while other games are better for students who have been learning multiplication for awhile but need more practice recalling the facts from memory. The multiplication games I describe below can be categorized into one of these 3 phases of multiplication development. In this phase, students benefit from practice recalling math facts from memory while playing fun games, such as multiplication war. They are practicing different efficient strategies to solve problems, such as relying on known facts. In the abstract phase, students are solving multiplication problems without the use of manipulatives or drawings. In this phase, they benefit from multiplication practice that involves drawing pictures or diagrams. In the representational phase, students understand what it means to multiply and now they're learning to apply more strategic ways of solving multiplication problems, such as using drawing arrays and skip counting to find the answer. In this phase, they benefit from multiplication practice with hands-on manipulatives, such as counters and unifix cubes. In the concrete phase, students are learning the conceptual meaning of multiplication. In this post, we talked about different phases of multiplicative thinking that students progress through on the way towards multiplication mastery. Math games for each phase of math learning
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