Patrick Honner: A teacher in NYC, he has some excellent resources on writing in the math classroom and ideas for student math research projects. He is also a frequent speaker with some powerful messages.
Sam Shah: This guy eats, sleeps, and breathes teaching, providing amazing resources and reflection on mathematics instruction and teaching in general. He has also been an active member of the online mathematics teaching community (MTBoS), trying to organize events and spaces for teacher dialogue.
Jonathan Claydon: I have set up this link so it takes you immediately to his archives because I have learned many lessons on building classroom and community culture from him. The archives are the best place to learn more about Varsity Math.
Dan Meyer: If you are familiar with three-act math, then you know Dan Meyer. I have linked his name to an explanation of the mathematical story structure, but you can also go directly to a spreadsheet containing all three-act tasks, including those that are completed and works-in-progress, here.
National Geographic: A name that needs little introduction, but many do not realize they have many resources to aid classroom teachers including activities, learning frameworks, and grants. The explorer mindset is one of the primary motivations behind my own project.
Jet Propulsion Laboratory: Although these resources need some work before you use them in the classroom, NASA and JPL have put together some excellent materials that immediately connect students to active STEM applications. Obviously, space is the modern frontier for human exploration, thus NASA and JPL are two other groups that inspired this project.
Project Euler: This is a cool website full of problems that get progressively harder, many of which require the use of a computer to solve. I believe the rule is that the most efficient algorithm for any of them should not take more than one minute to complete, which means the initial technique used may not be the most elegant. Also, you cannot see a solution until you have solved the problem yourself, which is a great feature. Create an account and check it out.
Grant Sanderson: Check out his YouTube videos, which are remarkable. They provide a good introduction to many difficult ideas and can be a source of inspiration for what to study next, for both students and teachers.
SpaceMath@NASA: This is a pretty incredible NASA website that provides countless math applications that arise from the study of space. Each booklet contains problems and solutions organized by topic.
Basics of Space Flight: Another NASA page that provides a basic introduction to sending humans and satellites into space to explore our solar system.