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Karp, Karen; Caldwell, Janet; Zbiek, Rose Mary; Bay-Williams, Jennifer – National Council of Teachers of Mathematics, 2011
What is the relationship between addition and subtraction? How do individuals know whether an algorithm will always work? Can they explain why order matters in subtraction but not in addition, or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organized around two big ideas and supported by…
Descriptors: Subtraction, Mathematics Instruction, Addition, Mathematical Concepts
Alaska Department of Education & Early Development, 2012
High academic standards are an important first step in ensuring that all Alaska's students have the tools they need for success. These standards reflect the collaborative work of Alaskan educators and national experts from the nonprofit National Center for the Improvement of Educational Assessment. Further, they are informed by public comments.…
Descriptors: Academic Standards, State Standards, Mathematics Achievement, Mathematics Skills
Common Core State Standards Initiative, 2011
For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…
Descriptors: Mathematics Curriculum, Mathematics Education, State Standards, Mathematics Achievement

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