After 23 years teaching mathematics ranging from Pre-Algebra through AP Calculus BC, and a master's degree in the subject, I saw the same gap play out at every level: a correct answer on paper rarely told me whether a student actually understood the math, or simply knew the steps to get there.

That gap doesn't disappear as students advance, in fact, it gets easier to hide. A student can execute an algorithm correctly in AP Calculus without ever grasping why it works. Traditional assignments have no way to catch that. So rather than spend my weekends grading papers, I spent them building our app.

Capture Thought pairs any smartphone your students already carry with a lightweight, folding stand and a built-in whiteboard allowing students to turn a math explanation into a short video in seconds. It folds flat, fits inside a standard 3-ring binder, and requires no new technology, no new login, nothing to learn beyond what a student can already do.

I took it further with the development of Capture Thought AI. (www.capturethought.app) Built in collaboration with Dr. Ishii, whose doctoral research on mathematical communication forms the framework behind every piece of feedback the AI generates. For me, that means feedback that used to take an entire weekend now takes minutes. Our App delivers specific, actionable notes on where each student's reasoning is strong and where it breaks down, instead of a stack of papers with a grade and little else. For my students, it means they don't have to wait days to find out whether they actually understood the lesson, they get clear, targeted guidance on their own thinking while it's still fresh, so they can act on it instead of just filing it away.

This isn't a classroom hack. It's a tool built from two decades across every level of a modern math sequence, grounded in research on what actually reveals understanding. It's changed how I teach, how I grade, and how my students think about their own thinking.

— Joe & Drew
Capture Thought Team