A computerized system enables teachers and students to collaborate in the solutions of STEM problems. The system includes a communications network linking a plurality of computers, at least one teacher computer operable by a respective teacher, at least one student computer operable by a respective student, and at least one computer-readable storage medium. Each of the computers includes an input device and a touch sensitive screen for receiving handwritten input via the input device. The computers are operatively linked and each of their touch sensitive screens forms a virtual shared whiteboard defining a common work page upon which input from each computer is received and displayed. Input received from each computer interacts mathematically with input received from each other computer in the network and the interactions are displayed on each screen. The input and interactions form a collaborative solution to a STEM problem.