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Abstrak. Conjecturing plays a role in mathematics learning, namely: (1) conjecturing as a way of solving problems (2) conjecturing as a process that helps students in understanding material, and (3) conjecturing as a process that trains students in reasoning. One learning model that can be applied in lectures in order to improve students’ conjecturing skills in solving expected mathematical problems is a discovery learning model, this paper will describe the development of learning material using discovery learning models and the implementation to know the effect of student conjecturing skills on combinatorics problems. The problem will be focused on discrete modeling with dominating metric dimension number studies. Further we analyze their conjecturing skills by using a triangulation methods, namely a combination of qualitative and quantitative methods. The subjects of this study are students majoring in Mathematics Education at Jember University. Research subjects using experimental class and control class. The result are 22% of students in the control class have fulfilled the completeness criteria study. While in the experimental class there are 29% has met the criteria for mastery learning. It means after the application of discovery learning, the students conjecturing skills are improved signicantly. Overall the results of the study indicate that the stages in conjecturing skill were done sequentially although not all steps were done.

The analysis of the discovery learning implementation and its affect to the students conjecturing skills in solving a resolving domination number