The process of thinking by prospective teachers of mathematics in making arguments

This study aimed to describe the process of thinking by prospective teachers
of mathematics in making arguments. It was a qualitative research involving
the mathematics students of STKIP PGRI Jombang as the subject of the
study. Test and task-based semi structural interview were conducted for data
collection. The result showed that 163 of 260 mathematics students argued
using inductive and deductive warrants. The process of thinking by the
prospective teachers of mathematics in making arguments had begun since
they constructed their very first idea by figuring out some objects to make a
conclusion. However, they also found a rebuttal from that conclusion, though
they did not further describe what such rebuttal was. Therefore, they decided
to construct the second ideas in order to verify the first ones through some
pieces of definition.