Journal of Social Sciences and Humanities
Articles Information
Journal of Social Sciences and Humanities, Vol.6, No.3, Sep. 2020, Pub. Date: Jul. 7, 2020
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
Authors
[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.
Abstract
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.
Keywords
First-grade Students, Senior High School, Solid Geometry, Proof, Understanding
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