Paragon Math Institute
Teaching Students How to Think.
Developing critical thinkers and confident problem solvers through advanced problem-solving and excellence in mathematics.
- Exeter-inspired approach
- Advanced problem solving
- Logic & reasoning
- Math beyond the classroom
If a and b are positive integers and a + b = 10, what is the maximum value of a2 + b2?
Explain your reasoning.
Math as a problem-solving tool, not a set of mechanics.
Typical math programs are computation and "mechanics" focused, with a linear approach. In the real world, math is a problem-solving tool that requires out-of-the-box thinking. Inspired by the world-renowned Phillips Exeter curriculum, PMI teaches students to be problem solvers, unafraid to make mistakes.
Fosters deep understanding
We move beyond memorization by engaging students with thought-provoking problems and real-world applications. Understanding the "why" behind math builds a solid, lasting foundation.
Cultivates critical thinking
Engaging puzzles and complex problems encourage creative and critical thinking. Students learn to approach challenges with confidence and curiosity, embracing trial and error as a learning tool.
Encourages collaboration
Like Phillips Exeter Academy, PMI emphasizes collaborative learning. Students work together, sharing perspectives in an environment that mirrors real-world problem solving.
Prepares for success
PMI prepares students not just for math success but for success in all areas of life, with problem-solving skills that are invaluable in any career or academic pursuit.
Try a PMI problem
These are the kinds of questions our students wrestle with. Write down a guess before you work it out.
Counting to one billion
How long would it take you to count to one billion, reciting the numbers one after another? First write a guess into your notebook, then come up with a thoughtful answer. One approach is to actually do it and have someone time you, but there are more manageable alternatives. What assumptions did you make in your calculations?
The 1" x 3" rectangle
I have a 1" x 3" rectangle. I can make 2 cuts and need to assemble all the pieces into a square. How can I do this?
The Great Pyramid
The Great Pyramid at Giza was originally 483 feet tall, and it had a square base that was 756 feet on a side. It was built from rectangular stone blocks measuring 7 feet by 7 feet by 14 feet. Such a block weighs seventy tons. Approximately how many tons of stone were used to build the Great Pyramid? The volume of a pyramid is one third the base area times the height.