Journal of Social Sciences and Humanities

Articles Information

A Study on the Difficulties of Understanding Geometric Proofs of Solids Among the First-grade Students in Senior High School

Pages: 188-195 Views: 136 Downloads: 25

[01]
Zezhong Yang, School of Mathematics and Statistics, Shandong Normal University, Jinan, China.
[02]
Enling Cui, School of Mathematics and Statistics, Shandong Normal University, Jinan, China.

Solid geometry proof is one of the essential contents for students to learn solid geometry. It plays an important role in training and developing students' spatial imagination and logical reasoning. However, the learning effect of students in proof of solid geometry is not satisfactory at present. In order to help teachers understand what difficulties students have in learning the proof of solid geometry, especially, in the process of understanding, so as to take appropriate countermeasures, this study uses the questionnaire method to survey on the first-grade students in Senior High School. The results show: (1) students are difficult to understand the relationship between the positions of the figures, especially when the figures are complex. (2) Students have difficulties in understanding geometry problems, of which the most difficult is understanding the meaning of the problem. (3) Students have difficulties in understanding the way of knowledge expression, especially the understanding of words, which most students think is the most difficult. (4) It is difficult for students to understand the proving method of a solid geometry. Most of them do not understand the individual steps. (5) There are some difficulties in students' understanding of the three-dimensional geometry proving process explained by the teacher. Most of the students don't understand some steps. (6) There are some difficulties in students' understanding of the proof thinking of solid geometry. Most students say that the most difficult thing is why they choose such proof thinking. (7) It is difficult for students to understand how to add auxiliary lines, especially most students don't understand why to add such auxiliary lines. Therefore, it is suggested that teachers should explain the proof more carefully and with the knowledge which students gained before and give students more helps after class.

First-grade Students, Senior High School, Solid Geometry, Proof, Understanding

[01]
Liu, R. T. (2018). Research on the problem-solving errors of high school students in solid geometry (Yunnan Normal University, Kunming). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1018796280.nh&DbName=CMFD2019.
[02]
Ming, L. (2018). Obstacles and Countermeasures of solving problems in Xinjiang Ordinary High School solid geometry. (Huazhong Normal University, Wuhan). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1019204014.nh &DbName =CMFD2020.
[03]
Ma, A. L. (2011). Study on learning obstacles and Countermeasures of solid geometry for senior high school students. (Shanghai Normal University, Shanghai). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1011161492.nh&DbName = CMFD2011.
[04]
Zhu, Z. Z. (2017). Obstacles in learning solid geometry for senior high school students and countermeasures. (Central China Normal University, Wuhan). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1017252161.nh&DbName = CMFD2018.
[05]
Chi, G. S. (2014). A survey of learning disabilities of solid geometry in the context of curriculum standard. (Fujian Normal University, Fuzhou). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1015523622.nh&DbName=CMFD2015.
[06]
Wang, X. Y. (2015). Investigation and Research on the learning status of the second required course of solid geometry for senior high school students. (Northwest Normal University, Lanzhou). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx? FileName=1015664166.nh&DbName=CMFD2016.
[07]
Lu, N. (2018). A survey of the difficulties in learning solid geometry and a study of teaching strategies. (Shanxi Normal University, Xian). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1018229378.nh&DbName=CMFD2019.
[08]
Yang, M. (2011). Factor analysis and countermeasure research on learning difficulties of solid geometry in Senior High School under the new curriculum standard. (Suzhou University, Suzhou) Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1012286280.nh&DbName=CMFD2012.
[09]
Liu, X. F. (2015). Difficulties in solving problems in high school solid geometry and countermeasures. (Ludong University, Yantai). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1015563892.nh&DbName=CMFD2015.
[10]
Peng, Y. L., & Ma, Q. R. (2010). Dictionary of logic. Shanghai: Shanghai dictionary press.
[11]
Shen, W. X., & Yang, Q. T. (2018). Mathematical skills manipulation. Harbin: Harbin University of Technology Press.
[12]
Qin, X. (2015). "Six he" cognitive question navigation, promoting high school students' mathematical understanding. (Guangxi Normal University, Guilin). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1015407352.nh&DbName=CMFD2017.
[13]
Yang, Z. Z. (2012). Investigation and Research on the mathematical understanding process. Journal of mathematical education, 21 (06): 50-53.
[14]
Gao, Y. H. (2013). The reasons and Countermeasures of junior high school students' difficulties in understanding the practical problems of a quadratic function. (Shandong Normal University, Jinan). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1013217414.nh&DbName=CMFD2013.
[15]
Bai, Z. L. (2016). Difficulties in understanding the conic curve of senior high school students and countermeasures. (Shandong Normal University, Jinan). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1016080565.nh&DbName=CMFD2017.
[16]
Zhao, Q. (2019). A study on the causes of difficulty in understanding the new mathematical definition of high school liberal arts students. (Shandong Normal University, Jinan). Retrieved from http://kns.cnki.net/kns/detail/detail.aspx?FileName=1019102692.nh&DbName=CMFD2019.

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