Computer-based mathematical modeling in physics is a process of constructing models of concepts and the relationships between them in the scientific characteristics of work. In this manner, computer-based modeling integrates the interactions of natural phenomenon through the use of models, which provide structure for theories and a base for experimentation. Utilizing this method, scientists construct knowledge, and in like manner, students in science construct their understandings in significant ways, addressing their preconceptions and their knowledge of concepts in physics. Project STIMMULIS (Science Teachers Integrating Mathematical Modeling in Undergraduate Learning for Instruction in Schools) provides a mathematical modeling context for pre-service mathematics and science teachers' conceptual and applied understanding of motion. Project STIMMULIS can serve as a prototype for teacher education departments by: (1) providing rich science and mathematics content through a scientific and mathematical modeling based curriculum; and (2) developing, implementing and demonstrating innovative constructivist practices (strategies) for teaching science and mathematics. (Contains 3 tables.)