A mathematical formulation for estimating age levels in the Carolina Curriculum

The study of medical protocols for monitoring and analyzing the development of children with disabilities is a fundamental research area. A well established curriculum-based assessment is the Carolina Curriculum for Infants and Toddlers with Special Needs (CCITSN) together with the Carolina Curriculum for Preschoolers with Special Needs (CCPSN). These are suitable curriculums for early intervention programs, where se-quenced item data collection and analysis are used to monitor incremental changes of the program and to recognize the areas of relative strength and weakness in an individual infant, or child, with mild and moderate disabilities. In many recent papers, Cuomo, et al. introduced the client-server software C@rolin@ to carry out all features of CCITSN, afterwards a Social Framework and an App (CarolApp). Despite of all these technological advantages, the software uses mathematical formulas that do not fully satisfy operators and do not help them to correctly establish useful parameters. We address this problem by developing a more formalized mathematical model in the determination of age levels that can be successfully used in the Carolina software