I was recently asked by some folk thinking about algebra curriculum design & teaching my thoughts on the matter. I decided to share three general principles I've been following in my own writings of late. It's a YT video. youtu.be/kvChP8fc-x0 Are they unexpected? Are they over-the-top? I: Math is bigger and bolder than any real world model -- even the one that motivated it! II: Content is a vehicle for teaching thinking (not just a vehicle for teaching more content!) III: Mathematics is fundamentally human (I am referring to this current writing project of mine: gdaymath.com/lessons/gmp/9-1… in case you are wondering.) @AIMathCommunity #MTBoS @GlobalMathProj #iteachmath #iteachmaths

So fabulous to see #explodingdots and @JimPropp 's fractional bases appearing in many different spots! Just happened to come across @brilliantorg 's advanced problem course. So cool! The dots are the community members' solution. Brilliant! (Literally!) @GlobalMathProj

Just love the interactive #explodingdots widget created by @KiranABacche of @dhimath_india as a gift to the @GlobalMathProj. You can actually add dots and antidots and draw loops and do polynomial division by hand! Stunning! We'll be able to release it soon. @AIMathCommunity

Have you noticed ...? To multiply an even digit by 6, make a two-digit answer with half that digit and with the digit itself. Works for all evens if follow Exploding Dots thinking. Why does this work? [Does it actually work for odd numbers too?]