Science and Education Publishing American Journal of Educational Research 2327-6150 4 14 2016 9 1 Students' Use of Intuitive Reasoning to Decide on the Validity of Mathematical Statements 1025 1029 EN Chih-Hsien Huang Ming Chi University of Technology EDUCATION20164147 10.12691/education-4-14-7 2016 5 5 2016 7 5 2016 8 30 This study explored students' approaches to mathematical statements with unknown truth values. Task-based interviews utilizing the think-aloud method revealed students' reasoning processes in depth. The students in this study used three distinct types of intuitive reasoning to decide the truth value of mathematical statements. The results of this study indicate that in each intuitive response there seems to be an underlying logical schema, or a mental model intuitively accepted by the students, which interacts with the specific restrictions of the presented mathematical statement.