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Direct Modeling Strategies for Multiplication, Measurement Division, and Partitive Division

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Direct Modeling Strategies for Multiplication, Measurement Division, and Partitive Division

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All Types of strategies have different wording in word problems and knowing which are the most easy/ difficult for our students is crucial to help our students become better Mathematicians!

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Making sense of the various problem types - creating opportunities for all mathematicians in the classroom to make connections and piece the abstract with concrete

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Multiplication and division problems may be easier for young than some addition ans subtraction.

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Direct modeling strategies are first
used by students and overtime, they are replaced by strategies based on counting, adding and subtracting.

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Young children can solve multiplication and division problems it is not necessary to wait until 3rd grade,

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"Including muliplication and division problems provideds children a richer and more complete problem-solving experience that supports thoughtful analysis of problem situations."

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Students use their understanding of direct teaching to create their own strategies to solve math problems.

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After having experience with direct modeling to solve multiplication and division problems students progress to Adding strategies to solve problems.  

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After having experience with direct modeling to solve multiplication and division problems students progress to Adding strategies to solve problems.  

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Direct modeling should be used to make sense of word problems. Modeling is replaced with more efficient strategies

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Direct modeling should be used to make sense of word problems. Modeling is replaced with more efficient strategies

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TK-1 students need grouping and partitioning to help deeper with addition and subtraction.  Therefore, students need grouping opportunities to support the concepts.

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Students use direct modeling first for solving problems because it helps them make sense of it. Then later on they move on to efficient strategies.

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A foundation for understanding multiplication, division and base ten concepts exists when kinder and first graders are exposed to multiplication and division problems.

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A foundation for understanding multiplication, division and base ten concepts exists when kinder and first graders are exposed to multiplication and division problems.

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Students can solve multiplication and division problem by direct modeling and recognizing that they can count groups of objects as well as individual objects.

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Use of direct modeling opportunities to make sense of word problems and math operations.

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Use of direct modeling opportunities to make sense of word problems and math operations.

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Solving multiplication and division problems!

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Solving multiplication and division problems!

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"multiplication and division problems provides children a richer and more complete problem-solving experience that supports thoughtful analysis of problem situations."  This makes me think of the math practices and by giving them different types of problems we are giving students more opportunities to display mastery of the math practices.

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"when children invent algorithms for themselves, they have a basis for understanding and correcting errors...Concepts and properties are explicit in the algorithm...This loss in efficiency is more than made up in the fact that Invented Algorithms are less likely to foster serious misconceptions and errors."