Mike Sweeney

@mdsawyermd @NickFromCyprus @pickover Adding 1/2 to a number makes it greater. Taking half of a positive number makes is smaller. Those with a little number sense knew that the number had to be negative right away.

@NickFromCyprus @pickover Right, how could the problem be visualized, intuited? That's what fascinates me about people with great mathematical minds/insights...how do they see/know what they do, even before they can express it logically or in an equation?

Mathematics. (Although some of you will say this is too "easy," what percentage of people on planet Earth could answer such a strange question?)

@edsouthall One third of 750 is 250. One third of 24 is 8. 250+8

@edsouthall Having a very good understanding of what you are teaching, an understanding that goes well beyond the level at which you are teaching, is necessary, but, of course, not sufficient. A degree doesn’t have as much to do with that understanding as one might suspect.

@AoPSNews @Cshearer41

Two copies of the same right triangle. What's the missing length? Special thanks again to math teacher Catriona Agg for creating this puzzle for us! You can check out her fun geometric puzzles at @Cshearer41 For our other Keep Learning puzzles, visit aops.com/keeplearning

@edsouthall In the interest of curiosity

@PeteButtigieg The answer to so many of our transportation challenges is redesigning our cities in a way where walking, biking, and taking transit are more convenient and less expensive than driving. We know how to do it. Time to make it happen.

This is a moment of tremendous opportunity—to create jobs, meet the climate challenge, and enhance equity for all. I'm honored that the President-elect has asked me to serve our nation as Secretary of Transportation.

@edsouthall A well known result with an interesting story... en.m.wikipedia.org/wiki/Napoleon'…

@MissBoucher94 I usually say, “If you don’t learn it, then you’re right, you won’t use it. If you do learn it, then maybe you will. Keep your options open.”

Out of interest, what do fellow maths teachers say when kids ask "why are we learning this, will I ever use it in life" etc.? #mathschat #teammaths

Three of the triangles in this stack are equilateral. Find the sum of the pink and green areas.

What’s the area of the circle?

@MRoz1984 @panlepan @FlammableMaths @howie_hua Desmos!

@mesweeney1 @panlepan @FlammableMaths @howie_hua Great! What program did you use? Maybe some freeware is available?

🤔...🤓

@parkermathed @panlepan @FlammableMaths @howie_hua @Desmos Probably using the gamma function for interpolation.

@mesweeney1 @panlepan @FlammableMaths @howie_hua How does @desmos calculate n! for non-integer values of n?!? Am I missing something?

@sanderbiehn Vomit the apple!

Want to lead? Maybe you first need to unlearn the past. The concept of #unlearning and #relearning has never been more relevant. #leadership tinyurl.com/yc7dxlcv

@preshtalwalkar #geometry #problemsolving #gettingcreative. Watch to learn of an interesting approach to this problem: youtu.be/1ZBUGIRUZuc

Can anyone solve this? I have a numerical answer using trigonometry. I did find a geometry "proof" online but it was faulty. Many people are requesting this problem, so I would like to make a video. Help is much appreciated, thanks!

@Cshearer41 #geometry #problemsolving

Four squares. The blue area is 2. What’s the green area?

@edsouthall #geometry #problemsolving

@preshtalwalkar Here’s my best shot. #geometry #problemsolving

@Cshearer41 #geometry #problemsolving

Four squares. What’s the shaded area?

@diegorattaggi #geometry #problemsolving

Saturday geometry puzzle. #mathiratti