In this study, contents of programming curriculum were designed as instrumental subjects for scientifically gifted students, not for IT gifted ones. Firstly, the programming curriculum consisted of 3 sections; Programming Understanding, Object-Oriented Programming, and Simulation Programming as a result of two semesters. Then, the lectures including project-based and problem-solving tasks were given to scientifically gifted students in a high school during one semester to verify whether they could apply the contents to studies and researches in math or science or not. As a result of this study, the students could improve numerical analysis and simulation program development capabilities in math or science as well as the problem-solving ability based on computational thinking. Moreover, it was proved that the students changed their perception about programing learning. They started to think that programing learning was necessary to studies and researches in math or science. The results of this study propose guideline to design programming curriculum as instrumental subjects for scientifically gifted students.