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Connecting the Habits of Mind to the Standards for Mathematical Practice

Mathematical Practice Standards Mathematical Habits of Mind
#1 Make sense of problems and persevere in solving them Performing thought experiments

Expecting math to make sense
#2 Reason abstractly and quantitatively Finding and explaining patterns

Creating and using representations

Generalizing from examples

“Delayed evaluation” – Seeking form in calculations

Purposefully transforming and interpreting expressions

Seeking and specifying structural similarities
#3 Construct viable arguments and critique the reasoning of others Expecting math to make sense

Extending operations to preserve rules for calculating
#4 Model with mathematics Creating and using representations

“Delayed evaluation” – Seeking form in calculations
#5 Use appropriate tools strategically Seeking and specifying structural similarities

Purposefully transforming and interpreting expressions
#6 Attend to precision Expecting mathematics to make sense

Seeking and expressing regularity in repeated calculations
#7 Look for and make use of structure “Delayed evaluation” – Seeking form in calculations

“Chunking” (changing variables in order to hide complexity)

Reasoning about and picturing calculations and operations

Extending operations to preserve rules for calculating

Purposefully transforming and interpreting expressions

Seeking and specifying structural similarities
#8 Look for and express regularity in repeated reasoning Seeking and expressing regularity in repeated calculations

Generalizing from examples

Finding and explaining patterns

Purposefully transforming and interpreting expressions