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## Debunking Myths about the Standards for Mathematical Practice

Teachers can benefit from productive and manageable suggestions to align instruction to the intention of the Common Core's Standards for Mathematical Practice.

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## An Exce-L-ent Algorithm for Factors and Multiples

The L-shaped 2-5-3-7 algorithm, combining efficient Singaporean and Korean procedures with divisibility rules of primes 2, 3, 5, and 7, helps students identify LCMs and GCFs.

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## Informing Practice:Developing Algorithms for Adding and Subtracting Fractions

Research on how students add and subtract fractions indicates that students struggle to understand various algorithms.

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## Integer Numbers and Temperature Problems

When solving temperature problems with negative integers, number sentences may be mathematically equivalent but not contextually equivalent.

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## Developing Formal Procedures through Sense Making

Allowing students to reason and communicate about integer operations, or any idea, before these ideas are formalized can be an important tool for fostering deep understanding.

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## Interpreting Standards as Sense-Making Opportunities

Student-generated algorithms, despite being inelegant and cumbersome, can nevertheless highlight a Common Core standard on rational number subtraction to show flexibility and understanding.

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## Multidimensional Teaching

See how one seventh-grade teacher melds NCTM's Process Standards, CCSSM's Standards for Mathematical Practice, and multidimensional teaching to engage students.

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## Unlocking the Structure of Positive and Negative Numbers

Reasoning about integers provides students with rich opportunities to look for and make use of structure.

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## Questioning the Order of Operations

Abandon mnemonics and make stronger connections between the operations and properties of arithmetic.

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## Football Field Mathematics

Students analyze football plays.