Look for Patterns
I bring a skeptical eye to pattern recognition
I look for reasons why a pattern exists
Solve a Simpler Problem
I "chunk" things into small sub problems
I take things apart and put them back together
Be Systematic
I make small changes to look for change and permanence
Stay Organized
I organize my work in a way that can be referenced by others
Visualize
I invent notation or representations to facilitate exploration
Experiment through Conjectures
I invent numbers to test relationships
I use specialized cases to test my ideas
I modify conjectures to continue/deepen exploration
Be Confident, Patient, and Persistent
I will explore even when I'm unsure about where to start
I do not give up easily
Collaborate and Listen
I effectively use strengths of people around me
I ask people for their thoughts when they seem hesitant
I don't dominate a conversation
Seek Why and Prove
I look for clues that help me understand why
I create logical arguments that prove my ideas
Generalize
I invent notation that helps me generalize
I algebraically represent the structure I see
Curriculum
Assessment
Pedagogy
As always, a work in progress...feedback welcome!!!