Abstract ▼ AI-Helper

One of the basic concepts of Calculus is the limit concept which has utility in the real life and much educational values, so it has been admitted as a required part of high school education. However, many students can hardly understand the limit concept clearly.
For this reason, in the main, ma...

One of the basic concepts of Calculus is the limit concept which has utility in the real life and much educational values, so it has been admitted as a required part of high school education. However, many students can hardly understand the limit concept clearly.
For this reason, in the main, many kinds of methods to make students are able to get this concept are studied. As the result, it is found that the formal definition of Limit is too complex to understand for students who learn it first.
Therefore, another method is studied to lead students to understand it by intuition instead of the formal definition. First, teachers are needed to get Limit by intuition with various medias such as pictures to explain this concept. Understanding the concept of Limit by intuition with pictures can draw students' interest in mathematics, and help them to get the concept clearly and easily. Also it is a good teaching method that can reduce teacher's burden of using difficult verbal definition.
After the stage of understanding this concept, it is required to get it with learning books using mathematical language, which help students to understand it specifically. It can make students clarify the ambiguity of the concept that they could get by intuition. And also it is a useful work to examine the course of historical development for teaching-learning. Induction of the history of mathematics can help students study conception, give motivation and raise enthusiasm by understanding the course of construction of mathematical knowledge.

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