Math is what we make of it. What does a “good mathematician” look like, feel like, and act like? What kind of subject do we want mathematics to be? The answers remain up to us.
I imagine a list of eight practices focused on students’ relations with others within communities:
1. Talk about which problems are important to solve and who should be part of solving them.
2. Think about the benefits and drawbacks of using mathematical approaches.
3. Listen to the ideas of others and collaborate with them to solve problems.
4. Consider the biases we bring to our mathematical models.
5. Draw on approaches from a broad set of human cultures, interests, and concerns.
6. Establish shared understandings.
7. Examine how choices of structures affect our perceptions.
8. Seek out puzzlement and doubt.
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