Problem Based-Learning Model Development and Giving Reward to Improve Conceptual Understanding and Problem Solving Ability of the Students at IAIN

This is the preliminary research about the development of problem-based learning model and the reward giving on elementary linear algebra courses at IAIN Padangsidimpuan. This research applied descriptive qualitative approach. Then, the data were analyzed by using the models of Miles and Huberman’s type of data presentation. The results of the study described that : 1) needs and context analysis was a linear algebra learning model that was implemented by using expository method that focused on explaining the material and giving the examples and the assignment in the form of exercise, 2) review of literature is learning activity in which the lecturers and students used the book written by Anton Hower in teaching and learning of elementary linear algebra which was only based on the textbook which only presented some basic theories and examples of questions and exercises, 3) the development of conceptual dan theoretical base is a learning model which was based on problem solving and reward giving that started from problem formulation up to solving it as well as giving the reward in every step that was done.