A modeling-based interactive engagement method to teach a calculus-based introductory physics course is a contemporary teaching method.To analyze the effects of modeling-based instruction and interactive engagement on students conceptual understanding and problem solving ability in an introductory physics course,both quantitative and qualitative research methods were chosen.To address the research questions,multiple-choice conceptual surveys,Lickert scale question surveys were administered,pre-and post-instruction and open-ended surveys were administered. Students volunteered to be interviewed, on an individual basis,throughout the course.It helps students to improve their understanding and learning physics. The students find the modeling-based interactive engagement method of learning and understanding physics to be a positive experience. Also,the results of interviews indicate that students problem solving ability seemed to be improved.In light of these results,it is evident that the modeling-based interactive engagement method has made a positive impact on the introductory calculus-based physics course at Purdue University.