Mathematical Habits of Mind

What do mathematicians do?

Mathematicians:

take risks
make mistakes
are precise
rise to a challenge
ask questions
connect ideas
use intuition
reason
prove
work together and alone

In a mathematics classroom, you should choose actions and strategies, ask questions, and display a productive attitude.

Actions

look for patterns
read the question
try multiple perspectives
break things into pieces
draw a picture
builder smaller and simpler examples
organize data and information
notice shapes
make comparisons

reason logically
make a list
make it simpler
brainstorm
look for a pattern
guess and check
make a table
work backwards
use objects
write an equation

STRATEGIES

Problem solving needs habits of persistence and curiosity.

Will you have resilience in the face of failure?

Are you willing to play with numbers and take risks?

Do you display a sense of wonder?

What do you notice?

What do you wonder?

What do you know?

What do you need to know?

How do you find out?

Have you seen something like this before?

Why is this true?

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