Here are some thoughts on math pedagogy that resonate with me.

Dan Finkel’s TED Talk
What is the Common Core by James Tanton
Jo Boaler on How Math Should Be Taught
Depth of Knowledge Levels
Some Thoughts on Assessment by James Tanton
A Mathematician’s Lament by Paul Lockhart
Dan Meyer’s TED Talk
NCTM Research Brief on Problem Solving
Student Handout on Class Discussion (from Malcolm Swan)
Improving Learning in Mathematics: Challenges and Strategies
Math is Not Linear by Alison Blank
On Flipped Learning
Dan Meyer on Tasks Promoting Inquiry
How to Think Like a School Math Genius
Alan Wigley on the Challenge Model
NRICH Beliefs about Mathematics
Growth Mindsets