An alternative approach for teaching limit

In this thesis, we investigated the effectness of the teaching approaches which is recommended in secondary mathematics curriculum and the approach which developed by using infinitesimal number concept at the calculations limit of some fundamental functions. For this purpose, in 2008-2009 academic year we selected two 12th class in an Anatolian Teachers High School in Ankara which are equivalant via readiness tests results and reported marks. One of the class was considered as a control group and the other class was selected as a experimental group. Both groups had some course which took 5 hours except the teaching approaches. After this course we addressed a test to both groups and the data were collected from these students? answers.After the end of the teaching session a post- test was applied to both groups and answer papers of students reviewed and evaluated according to the answer key and the findings were compared. After the result of comparisons it was found that the infinitesimal numbers concept analysis was more effective than the recommended approach from the high school mathematics teaching program in the calculation of limits.