Science and Education Publishing
American Journal of Educational Research
2327-6150
3
12
2015
11
24
Mathematical Problem Solving and Use of Intuition and Visualization by Engineering Students
1484
1488
EN
Chih-Hsien
Huang
Ming Chi University of Technology
EDUCATION20153121
10.12691/education-3-12-1
2015
7
29
2015
9
17
2015
11
22
Deciding on the truth value of mathematical statements is an essential aspect of mathematical practice in which students are rarely engaged. This study explored first year engineering students' approaches to mathematical statements with unknown truth values, taking a perspective that the construction examples is an activity of problem solving. Task-based interviews utilizing the think-aloud method revealed students problem solving processes in depth. The primary data sources were the protocols of 15 students to the questionnaire, three false statements involved basic concepts about derivative and definite integral. Through analysis of the data. The findings suggest that the factors the participants failed to solves problems include: mathematical intuition and prototype example hindered the constructing of counterexamples, there are two dangers in visualizing -figures can induce false conclusions and figures can mislead our reasoning.