การศึกษาความสามารถและปัญหาในการพิสูจน์ทางคณิตศาสตร์ของนักศึกษา หลักสูตรศึกษาศาสตรบัณฑิต สาขาวิชาคณิตศาสตร์ มหาวิทยาลัยสวนดุสิต

Abstract

The purpose of this research was study the ability and the problems in
mathematical proof of Educational Bachelor Degree students, Mathematical Program.
The sample groups were the Educational Bachelor Degree students, Mathematical
Program, Faculty of Science and Technology, Suan Dusit Rajabhat University, freshman
year, who enrolled in course 4091112 “Algoritms in Mathematics Proofs” in the first
semester of academic year 2014, randomly selected for 60 simple samples. The tools
used in this research were the mathematical test about the mathematical proof for p→q.
The statistics used were frequency and percentage. The study shows that students who
could prove for p→q by the direct proof method were 45% of all students in the sample
group. Second, students who could prove by the contraposition method were 41.67% of
all samples and the students who used the contradiction method to prove the message
were 28.33% of all samples. For the problems in mathematical proof, the most common
case in the direct proof method was a proof explanation. There were 9 students who
lacked carefulness in proof writing which was equal to 15% of all samples. The most
common problem in the contraposition method was the proof explanation as well. There
were 15 students who lacked carefulness in proof writing, which was equal to 25% of all
samples. The most common problem in the contradiction method was how to find the
tool for proof. There were 34 students who did not understand how to start proofing by
the contradiction method, which was equal to 56.67% of all samples.