RESEARCH PAPER
The Effect of a Problem-oriented Teaching Method on University Mathematics Learning
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University of Science and Technology Liaoning, CHINA
Online publication date: 2018-02-07
Publication date: 2018-02-07
EURASIA J. Math., Sci Tech. Ed 2018;14(5):1695-1703
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ABSTRACT
In mathematics learning, it is important to solve problems. However, it is not easy for students to design and implement an effective problem-solving plan. Therefore, we propose a problem-oriented teaching method based on the existing literature. The purpose of this study is to investigate the influence of this problem-oriented teaching method on the learning effectiveness of students. Research subjects were part of two classes that were randomly selected from a public university in China; one was the experimental group that was subjected to the problem-oriented teaching method, and the other was the comparison group that was subjected to the traditional teaching method. In this study, at the beginning and end of the semester, the experimental and control groups were assessed. The results of the empirical analysis show that the problem-oriented teaching method was more effective at improving mathematics achievement and reducing the differences in scores between urban and rural students than traditional teaching methods. Suggestions and implications for teaching are also proposed for mathematics educators and mathematics education researchers: teachers should not only ask questions but also guide students to ask questions.
REFERENCES (22)
1.
Brown, S. I., & Walter, M. I. (2005). The art of problem posing. London: Psychology Press Ltd.
2.
Clark, D. B., & Sampson, V. (2007). Personally-seeded discussions to scaffold online argumentation. International Journal of Science Education, 29(3), 253–277.
https://doi.org/10.1080/095006....
3.
Clough, M. P., & Kauffman, K. J. (1999). Improving Engineering Education: A Research-Based Framework For Teaching. Journal of Engineering Education, 88(4), 527-534.
https://doi.org/10.1002/j.2168....
4.
Cohen, J. (1988). Statistical power and analysis for the behavioral sciences (2nd Ed.). Hillsdale, NJ, Lawrence Erlbaum Associates.
5.
Contreras, J. (2005). Posing and solving problems: the essence and legacy of mathematics. Teaching Children Mathematics, 12(3), 115.
6.
Cunningham, R. F. (2004). Problem posing: an opportunity for increasing student responsibility. Mathematics and Computer Education, 38, 83-89.
7.
Dodeen, H., Abdelfatta. F., & Alshumrani, S. (2014). Test-taking skills of secondary students: the relationship with motivation, attitudes, anxiety and attitudes toward tests. South African Journal of Education, 34(2), 1-18.
https://doi.org/10.15700/20141....
8.
Dufresne, R. J., Gerace, W. J., & Leonard, W. J. (1997). Solving physics problems with multiple representations. Physics Teacher, 35, 270-275.
https://doi.org/10.1119/1.2344....
9.
Dym, C. L., Agogino, A. M., Eris, O., Frey, D. D., & Leifer, L. J. (2005). Engineering design thinking, teaching, and learning. Journal of Engineering Education, 94(1), 103-120.
https://doi.org/10.1002/j.2168....
10.
Felmer, P., Pehkonen, E., & Kilpatrick, J. (Eds.). (2016). Posing and Solving Mathematical Problems: Advances and New Perspectives. Berlin: Springer.
12.
Gagne, E. D., Yekovich, C. W., & Yekovich, F. R. (1993). The cognitive psychology of school learning (2nd Ed.). New York: HarperCollins College Publishers.
13.
Lee, C. I. (2017). An Appropriate Prompts System Based on the Polya Method for Mathematical Problem-Solving. EURASIA Journal of Mathematics, Science and Technology Education, 13(3), 893-910.
https://doi.org/10.12973/euras....
14.
Lee, J., & McIntire, W. G. (2000). Interstate variation in the mathematics achievement of rural and nonrural students. Journal of Research in Rural Education, 16, 168-181.
16.
Lutgens, G., & Mulder, M. (2002). Bridging the gap between theory and practice in Dutch vocational education. Vocational Train¬ing European Journal, 25, 34-38.
17.
Perdomo-Díaz, J., Felmer, P., Randolph, V., & González, G. (2017). Problem Solving as a Professional Development Strategy for Teachers: A Case Study with Fractions. EURASIA Journal of Mathematics, Science and Technology Education, 13(3), 987-999.
https://doi.org/10.12973/euras....
18.
Polya, G. (1957). How to Solve It: A New Aspect of Mathematical Method. Princeton, NJ: Princeton University Press.
19.
Schwartz, A. E. (2000). Axing Math Anxiety. Education Digest, 65(5), 62-64.
20.
Stevens, J. C. (1992). Applied Multivariate Statistics for the Social Sciences. Hillsdale, NJ: Lawrence Erlbaum.
21.
Ye, W. (2016). When rural meets urban: the transfer problem Chinese pre-service teachers face in teaching practice. Journal of Education for Teaching, 42, 1, 28-49.
https://doi.org/10.1080/026074....
22.
Young, D. J. (1998). Rural and urban differences in student achievement in science and mathematics: A multilevel analysis. School Effectiveness and School Improvement, 9, 386–418.
https://doi.org/10.1080/092434....