After a brief pencil-and-paper warm-up, her second-period class divides into two groups of about a dozen students each. One group of students turns to a problem from a textbook, with clusters of students working together at desks, while members of the other group migrate to the laptop cart in the classroom's corner, take a device back to their desk, log in to their Cognitive Tutor software accounts, and tackle problems tailored to each student's learning progress. After 35 minutes or so, the groups switch tasks."It does free [teachers] up to be more of a troubleshooter than anything," said Ms. Brierley, an 18-year teaching veteran who has spent the last third of her career working with Cognitive Tutor. "It gives [students] an opportunity to be independent and work through things and sometimes work things out in their head without us telling them what they should be doing."But Cognitive Tutor has some notable nuances for a station-rotation model. Among them, both the print text and the software come from the same provider. So while some students may reach concepts in print first, and others first encounter them online, the terminology and theory behind teaching concepts remains constant.Both branches of the curriculum also stress the manipulation of numbers and variables. The text features perforated tearaway pages so students scribble in or alongside charts and equations rather than on separate scrap paper. (This also means a district implementing the curriculum has the added expense of purchasing new textbooks every year.) The software requires students to set their own bounds for graphs and tables and type key information from paragraph-length word problems into charts before answering a series of questions all based on the same scenario.