Research ArticleOpen AccessGoogle Scholar indexed
A Definite Explanation of the Concept of Limit in Teaching
Nanchang Normal University, Nanchang, China
- 1 Nanchang Normal University, Nanchang, China
Creative Education·Volume 11 (2020)·Pages 2832–2836·Published 8 December 2020·DOI10.4236/ce.2020.1112208
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Abstract
The limit idea is the basic idea of calculus. Almost all concepts in mathematical analysis are inseparable from the limit, but the limit is a concept that is difficult to understand accurately. By assuming that there is a certain point closest to the limit value, this paper provides a reasonable explanation for the infinitesimal paradox and a new answer to the question why the limit value is accurate in teaching. At the same time, this method is applied to the derivative and used to understand a common practical problem in mathematics. The analysis shows that this method is effective for the accurate understanding of limit problems.
KeywordsLimitInfinitesimal ParadoxInterpretationDetermination
- Chen, G., & Mi, P. Z. (2001). Research on the Limit Thinking in Advanced Mathematics. College Mathematics, 17, 69-71.
- Nie, L. C., & Chang, N. L. (2010). Exploration and Analysis of Limit Concept Teaching in Advanced Mathematics. Journal of Baoding University, 23, 131-134.
- Wang, J. Z., & Jin, Y. R. (2018). Discussion on the Limit of a Sequence of Numbers. College Mathematics, 4, 115-117.
- Xiao, B. R. (1982). A Preliminary Discussion on Limit, Derivative and Differential Teaching in Middle School Mathematics. Journal of Nanjing Normal University (Natural Science Edition), 3, 76-78.
- Zhang, Q. L. (2019). Analysis and Breakthrough of the Difficulties in Advanced Mathematics Limit Concept Teaching. Mathematics Learning and Research: Teaching Research Edition, 3, 32.
- Zhang, W. B. (2019). Some Thoughts on the Introduction of Mathematics Culture into the Teaching of Limit Concept. Mathematics Learning and Research, 9, 30.