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Learning mathematics becomes meaningful when related to phenomena that occur around us. Covid-19 becomes pandemi as it is happening now. The number of Covid-19 case is shown daily. This research aims to describe the stages of conjecturing the number of next Covid-19 case based on students’ mathematical ability and gender. This study is descriptive qualitative study. The subject of this study is male and female prospective mathematics teacher of high, medium, and low mathematical ability, in each of the category. The data were collected by one problem related to the number of Covid-19 case represented in graph and task-based interviews were analized qualitatively based on stages of conjecturing: observing one case, observing a surprising or significant feature of that case, formulating a conjecture that the feature applies to other cases, validating the conjecture, generalizing the conjecture, and justifying the generalization. The results show that the high matematical ability students, both male and female, and female medium matematical ability students had complete stages of conjecturing compared with those of the rest. It is suggested to the teacher to be able to design learning activity which facilitates all students in constructing mathematical conjecture.

conjecture, mathematical ability, gender, stages of conjecturing