February 06, 2011

Teaching the concept of limit in calculus

Limit


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This entry was another spin-off from the session of mathematics education for post-16. The topic was teaching calculus. I chose to introduce differentiation from the concept of limit using Geogebra. The dynamic geometry software is meant to illustrate the existence of limit for the gradient of a function. The points A and B on the curve y=xn in the Geogebra page can be made arbitrarily close but never coincide. As separation of AB in x tends to 0, the gradient of the curve tends to a limit. I would begin the introduction of limit with Zeno's paradoxes. When the students had comprehended the concept of limit, the derivative of y=xn can be algebraically derived from the binomial expansion of (x+dx)n. The zoom and unzoom actions of the page were achieved using the javascript extension of Geogebra.


- One comment Not publicly viewable

  1. Guillermo Bautista

    Hi. I was creating a blogroll and tried to search the internet with blogs that using GeoGebra and found yours. Nice work, by the way. If you are teaching, you may want to refer your students to my GeoGbra blog. It contains more than 50 GeoGebra tutorias. Here’s the address:

    http://mathandmultimedia.com/geogebra/

    Thanks.

    01 Apr 2011, 22:18


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