Our approach is to use sophisticated techniques to determine, with great accuracy, what a student knows and does not know. Next, we tailor-make a personalized and prescriptive learning program. Each student follows the program with the help of specially trained Mathnasium math tutors who provide instruction—and lots of warm encouragement. For proof of progress, we rely on the student's report card, independent tests, and parent testimony to measure the speed and magnitude of improvement in math skills, numerical thinking, and attitude.