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Kinzer, Cathy J.; Stanford, Ted – Teaching Children Mathematics, 2013
This article presents a sequence of learning activities that lead to using the area model of multiplication to understand the distributive property (DP). The connection between area and multiplication is an important one, both for algebraic thinking and for geometry, as indicated in two of the critical areas for the third grade in the Common Core…
Descriptors: Mathematics Instruction, Multiplication, Learning Activities, Mathematical Concepts
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Philipp, Randolph A.; Hawthorne, Casey – Teaching Children Mathematics, 2015
Although fraction operations are procedurally straightforward, they are complex, because they require learners to conceptualize different units and view quantities in multiple ways. Prospective secondary school teachers sometimes provide an algebraic explanation for inverting and multiplying when dividing fractions. That authors of this article…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Concepts, Secondary School Teachers
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Benson, Christine C.; Wall, Jennifer J.; Malm, Cheryl – Teaching Children Mathematics, 2013
The Common Core State Standards for Mathematics (CCSSM) call for an in depth, integrated look at elementary school mathematical concepts. Some topics have been realigned to support an integration of topics leading to conceptual understanding. For example, the third-grade standards call for relating the concept of area (geometry) to multiplication…
Descriptors: Academic Standards, State Standards, Geometric Concepts, Concept Formation