Carnegie Learning's curricula are based on over 20 years of research into how students think, learn and apply new knowledge in mathematics. The curricula use students' intuitive problem solving abilities as a powerful bridge to more formal and sophisticated mathematical comprehension.
Software and Classroom Instruction Combine to Improve Student Achievement
Carnegie Learning's mathematics curricula immerse and engage students in mathematical problem solving. The software component, which typically represents 40% of the instructional time, allows students to work at their own pace. The system is built on cognitive models, which represent the knowledge a student might possess about a given subject. The software assesses the prior mathematical knowledge of students on a step-by-step basis and presents curricula tailored to their individual skill levels.
The textbook and classroom activities parallel and extend the development of concepts in the software, emphasizing written analyses and classroom presentations. Students engage in problem solving and reasoning, and communicate using multiple representations of math concepts. The textbook provides an opportunity for analysis, extended investigation, and the exploration of alternate solution paths. Real-world situations are used in problems designed to emphasize connections between verbal, numeric, graphic and algebraic representations. The goal at all times is to present a curriculum that is engaging and effective.