graspable math

GM is a dynamic algebra notation tool based on a perceptual-motor framework that allows students to physically move algebraic terms around the screen as if they were literal objects. By dragging the mouse and performing certain gestures, users can manipulate algebraic expressions and observe an immediate response to their actions.

GM is designed so that symbolically permissible moves transform an expression or equation into a new equivalent state, while impermissible moves do not. When an illegal action is attempted, the system responds with immediate feedback (e.g., terms shake or snap back into the initial position). By embedding the rules of algebra and providing instantaneous feedback so that students know exactly what moves are mathematically correct and incorrect, GM encourages users to explore and ‘play’ with the structure of algebra in every move.

the graspable STORY

Math is beautiful and tremendously powerful in the hands of experts. On the other hand, to novices, math is frustrating and HARD....All those rules to memorize. All those steps to write and keep track of.

In a world where technology has advanced at astonishing rates, the technology of math notation hasn’t really changed in 400 years. The easiest way to write and solve an equation is still by hand, on paper.

For a few years, a group of math educators, psychologists, mathematicians, and computer scientists—have been imagining ways to reconstruct the idea of formal notation by using digital technology. We think it’s time to apply modern design approaches to build more intuitive and fluid interfaces for math. The tools were designed to scaffold experiences of algebraic structure, support genuine inquiry about how math works, and give people opportunities to reason flexibly about mathematics.