According to statistics, more than 90% of Chinese universities have offered advanced mathematics for liberal arts students as a general course since 2003 to cultivate their scientific literacy and problem-solving ability. This study aims to provide a feasible approach for liberal arts students to accept the value of mathematics and apply mathematical methods to academic research and real-world problems solution. In the Applied Probability and Statistics class with the attendance of 154 liberal arts freshmen, this study is designed to discuss and value on the five mathematics application reports as examples. Then liberal arts students were interviewed on evaluating these 5 mathematics application reports. 28 mathematics application reports were completed by 154 students in groups and cooperation, which were analyzed on how mathematics was incorporated into their reports. The qualitative analysis of the interview results found that the discussion and evaluation of these 5 mathematics application reports about applying mathematics and solving social problems can stimulate liberal arts students’ interest in mathematics and realize the value of mathematics application. Therefore, peer mathematics application is a way for liberal arts students to realize mathematics value. Through the classification analysis of the 28 mathematics application reports completed by the liberal arts students, their three forms of mathematics application can be summarized as follows: applying the regularity of mathematical argument instead of the special case of the practice test in social cognition; using data analysis to monitor the probabilities of plausible reasoning; developing their applied mathematical ability to solve daily life problems.
Advanced Mathematics, Applied Mathematical Ability, Liberal Arts Students, Qualitative research method
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